Relevant bibliographies by topics / Formulation Inverse

Academic literature on the topic 'Formulation Inverse'

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Published: 31 August 2024

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Journal articles on the topic "Formulation Inverse"

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Faroughi, S., and H. Ahmadian. "Shape functions associated with inverse element formulations." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 2 (June 23, 2010): 304–11. http://dx.doi.org/10.1243/09544062jmes2350.

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Super-convergent element formulations in local co-ordinates are obtained using inverse strategies. In the inverse approach discretization errors of the element formulation are minimized leading to super-convergent solutions. In the development of the inverse element model, no shape functions are introduced and therefore the task of element transformation from local to global co-ordinates system remains a challenge. In this paper, a procedure is proposed to produce shape functions associated with the inverse element formulations via hierarchical polynomials. A membrane element formulation is developed using inverse strategy as an example and its associated shape functions are determined using hierarchical polynomials. Numerical results indicate higher accuracy of the developed model in global co-ordinates compared to the reported models in the literature for the same element.
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Vitoshkin, H., and A. Yu Gelfgat. "On Direct and Semi-Direct Inverse of Stokes, Helmholtz and Laplacian Operators in View of Time-Stepper-Based Newton and Arnoldi Solvers in Incompressible CFD." Communications in Computational Physics 14, no. 4 (October 2013): 1103–19. http://dx.doi.org/10.4208/cicp.300412.010213a.

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AbstractFactorization of the incompressible Stokes operator linking pressure and velocity is revisited. The main purpose is to use the inverse of the Stokes operator with a large time step as a preconditioner for Newton and Arnoldi iterations applied to computation of steady three-dimensional flows and study of their stability. It is shown that the Stokes operator can be inversed within an acceptable computational effort. This inverse includes fast direct inverses of several Helmholtz operators and iterative inverse of the pressure matrix. It is shown, additionally, that fast direct solvers can be attractive for the inverse of the Helmholtz and Laplace operators on fine grids and at large Reynolds numbers, as well as for other problems where convergence of iterative methods slows down. Implementation of the Stokes operator inverse to time-stepping-based formulation of the Newton and Arnoldi iterations is discussed.
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Guritman, Sugi, Jaharuddin, Teduh Wulandari Mas'oed, and Siswandi. "A FAST COMPUTATION FOR EIGENVALUES OF CIRCULANT MATRICES WITH ARITHMETIC SEQUENCE." MILANG Journal of Mathematics and Its Applications 19, no. 1 (June 30, 2023): 69–80. http://dx.doi.org/10.29244/milang.19.1.69-80.

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In this article, we derive simple formulations of the eigenvalues, determinants, and also the inverse of circulant matrices whose entries in the first row form an arithmetic sequence. The formulation of the determinant and inverse is based on elementary row and column operations transforming the matrix to an equivalent diagonal matrix so that the formulation is obtained easily. Meanwhile, for the eigenvalues formulation, we simplify the known result of formulation for the general circulant matrices by exploiting the properties of the cyclic group induced by the set of all roots of as the set of points in the unit circle in the complex plane, and also by considering the specific property of arithmetic sequence. Then, we construct an algorithm for the eigenvalues formulation. This algorithm shows a better computation compared to the previously known result for the general case of circulant matrices.
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Kono, Masaru, and Hideo Uchimura. "Inverse Problem of Paleomagnetic Reconstruction: Formulation." Journal of geomagnetism and geoelectricity 46, no. 4 (1994): 311–28. http://dx.doi.org/10.5636/jgg.46.311.

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Zeng, Xiaogang, and Sunil Saigal. "An Inverse Formulation With Boundary Elements." Journal of Applied Mechanics 59, no. 4 (December 1, 1992): 835–40. http://dx.doi.org/10.1115/1.2894050.

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A mathematical formulation for the solution of inverse problems pertaining to the identification of flaw shapes and the reconstruction of boundary conditions in a continua is described. Integral relationships are derived for the variation of field variables with respect to variation in flaw shape using Taylor series expansions. Similar relationships for the variation of boundary conditions with variation inflow shape are also obtained. These variations allow the development of an iterative framework to advance an initially assumed flaw shape towards its actual configuration. The iterations are based upon and are driven by the difference in the values of computed response for the assumed flaw shape from their experimentally measured values at specified locations. The resulting equations are cast into the matrix form for solution using the boundary element method.
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Yagle, Andrew E. "Multidimensional inverse scattering: An orthogonalization formulation." Journal of Mathematical Physics 28, no. 7 (July 1987): 1481–91. http://dx.doi.org/10.1063/1.527503.

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Li, Jiwei, Lingyun Qiu, Zhongjing Wang, and Hui Yu. "Flow Measurement: An Inverse Problem Formulation." SIAM Journal on Applied Mathematics 83, no. 4 (August 14, 2023): 1654–76. http://dx.doi.org/10.1137/22m1530720.

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CYRIL, X., J. ANGELES, and A. MISRA. "EFFICIENT INVERSE DYNAMICS OF GENERAL N-AXIS ROBOTIC MANIPULATORS." Transactions of the Canadian Society for Mechanical Engineering 13, no. 4 (December 1989): 91–95. http://dx.doi.org/10.1139/tcsme-1989-0015.

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Presented in this paper is an efficient scheme to solve the inverse dynamics problem associated with robotic manipulators of arbitrary architecture, using the recursive Newton-Euler formulation. The scheme’s efficiency derives from the use of suitable coordinate frame to represent the vector quantities and the suitable manipulation of the vector operations. The computational complexities of this and other general dynamical formulations published so far are compared. In conclusion, it is observed that not only the dynamical formulation methodology, but also the judicious representation and manipulation of the vector quantities contribute to the computational efficiency of the algorithm. An example is presented to show the validity of the computational scheme.
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Duplij, Steven. "Higher Regularity, Inverse and Polyadic Semigroups." Universe 7, no. 10 (October 13, 2021): 379. http://dx.doi.org/10.3390/universe7100379.

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We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several inverses. The higher idempotents are introduced, and their commutation leads to unique inverses in the multi-relational formulation, and then further to the higher inverse semigroups. For polyadic semigroups we introduce several types of higher regularity which satisfy the arity invariance principle as introduced: the expressions should not depend of the numerical arity values, which allows us to provide natural and correct binary limits. In the first definition no idempotents can be defined, analogously to the binary semigroups, and therefore the uniqueness of inverses can be governed by shifts. In the second definition called sandwich higher regularity, we are able to introduce the higher polyadic idempotents, but their commutation does not provide uniqueness of inverses, because of the middle terms in the higher polyadic regularity conditions. Finally, we introduce the sandwich higher polyadic regularity with generalized idempotents.
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Guritman, Sugi, Jaharuddin, Teduh Wulandari, and Siswandi. "An Efficient Method for Computing the Inverse and Eigenvalues of Circulant Matrices with Lucas Numbers." Journal of Advances in Mathematics and Computer Science 39, no. 4 (March 22, 2024): 10–23. http://dx.doi.org/10.9734/jamcs/2024/v39i41879.

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In this article, the inverse including the determinant, and the eigenvalues of circulant matrices with entry Lucas numbers are formulated explicitly in a simple way so that their computations can be constructed efficiently. The formulation method of the determinant and inverse is simply applying the theory of elementary row or column operations and can be unified in one theorem. Meanwhile, for the eigenvalues formulation, the recently known formulation in the case of general circulant matrices is simplified by observing the specialty of the Lucas sequence and applying cyclic group properties of unit circles in the complex plane. Then, an algorithm of those formulations is constructed efficiently. From some implementation facts also showed that the algorithms performed very fast and was able to calculate large size of circulant matrices.
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Dissertations / Theses on the topic "Formulation Inverse"

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Dridi, Wafa. "Influence de la formulation sur l'oxydation des huiles végétales en émulsion eau-dans-huile." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0102/document.

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L’oxydation des lipides est un phénomène chimique qui provoque la dégradation des qualités organoleptiques et nutritionnelles des aliments. Cette oxydation dépend de plusieurs paramètres (température, lumière, présence de métaux de transition, présence d’enzymes, état de dispersion des lipides …) qu’il est important de maîtriser notamment au cours du procédé de fabrication du produit alimentaire ou de son stockage. Dans ce contexte, l’oxydation des lipides a été étudiée, à travers la mesure des composés primaires d’oxydation, en phase continue et en émulsion eau-dans-huile. Différentes huiles alimentaires présentant des taux variés en acide α-linolénique (18:3 n-3) ont été choisies. Différentes formulations d’émulsion ont été étudiées (composition de l’interface en polyricinoléate de polyglycérol (PGPR)/monoglycérides distillés, présence de métaux pro-oxydants, d’espèces chélatantes). En revanche, la fraction volumique de phase aqueuse (40%) et le diamètre des gouttelettes d’eau (1 μm) sont maintenus constants. Parallèlement, une méthode de dosage rapide et innovante basée sur la microcalorimétrie différentielle a été mise au point pour un suivi en continu des cinétiques d’oxydation. Pour les 4 huiles végétales étudiées en phase continue et en émulsion, l’oxydabilité est liée à leur teneur en acide α-linolénique, avec la hiérarchie suivante : huile de lin > huile de caméline > huile de colza > huile d'olive. Plus la concentration en molécules pro-oxydantes (sulfate de fer) dans la phase aqueuse est élevée, plus l’oxydation des lipides est importante. L’état de valence du fer et le remplacement du fer par du cuivre n’ont pas d’impact significatif sur la cinétique d'oxydation. En revanche, il est possible de contrôler l’action pro-oxydante du fer II en jouant sur la nature du contre-ion (poids moléculaire, pouvoir chélatant) ou sur la proportion de PGPR utilisée pour stabiliser les émulsions. L’ensemble des résultats obtenus suggère que les tensioactifs lipophiles présents à l’interface eau-huile n’empêchent pas l’interaction des ions pro-oxydants avec les molécules lipidiques de la phase continue mais que leur organisation à l’interface module l’oxydation des lipides
Oxidation is ubiquitous in lipids and causes degradation of organoleptic and nutritional qualities of foods. Lipid oxidation depends on various parameters (temperature, light, transition metals, lipid dispersion state …) that have to be controlled during food processing and storage. In this context, lipid oxidation was followed by measuring the content of primary oxidation products, for lipids in bulk phase and in water-in-oil emulsions. Different edible oils were chosen for their contents of α-linolenic acid (18: 3 n-3). Emulsions were formulated at varying polyglycerol polyricinoleate (PGPR)/distilled monoglycerides concentration ratios (surfactant ratio), with or without the presence of pro-oxydant metals or chelators. In all experiments, the aqueous volume fraction (40%) and the droplet mean diameter (1 μm) remained constant. Besides this study, an innovative and rapid method based on differential microcalorimetry was developed for monitoring the kinetics of lipid oxidation. The oxidability of the studied oils was related to their content in α-linolenic acid according the following order: linseed oil> camelina oil> rapeseed oil> olive oil. The rate of lipid oxidation increased with the iron sulfate concentration in the water phase. The iron valence or the replacement of iron by copper had no significant impact on the oxidation kinetics. However, both the chemical nature of the counter ion (molecular weight, chelating power) and the proportion of PGPR used to stabilize the emulsions were influential factors. On the whole, our results suggest that surfactants at the water-oil interface do not prevent pro-oxidant species to interact with lipids in the continuous phase but that their organization at the interface is a key parameter for controlling lipid oxidation
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Gatina, Jean-Claude. "Contacts de corps élastiques effets tangentiels et normaux, formulation et résolution des problèmes inverse et direct /." Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb37611048t.

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Louati, Kaouthar. "Modèles Mathématiques pour l'Inspection Nondestructive des Pipelines." Phd thesis, Ecole Polytechnique X, 2006. http://tel.archives-ouvertes.fr/tel-00125751.

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Dans les trois premiers chapitres de ce manuscrit de thèse, On propose trois nouvelles méthodes pour l'identification et la localisation des corrosions internes dans les pipelines. La première est par impédance électrique, la deuxième est par ondes guidées ultrasoniques et la troisième est par ultrasons.
On jette les bases mathématiques de ces différentes méthodes et on présente quelques tests numériques qui montrent leur efficacité.
Notre approche rentre dans la stratégie asymptotique développée au CMAP pour la résolution des problèmes inverses d'une manière robuste et stable. On exploite l'existence d'un petit paramètre (la mesure de Hausdorff de la partie corrosive) pour extraire des données la localisation de la partie corrosive et estimer son étendue. Le tout, d'abord, à travers des formules asymptotiques des mesures dépendantes du petit paramètre, rigoureusement établies à l'aide de la méthode des équations intégrales, et ensuite, par le biais de nouveaux algorithmes non-itératifs d'inversion. La plupart de ces algorithmes sont de type MUSIC (multiple signalclassification).
Le dernier chapitre est indépendant des trois premiers. il est consacré à la reconstruction de la forme d'un objet perturbé connaissant le champ lointain électrique ou acoustique. On développe pour le cas acoustique et électrique une relation linéarisée entre le champ lointain, résultant des données sur le bord de conditions de Dirichlet comme paramètre, et la forme de la structure perturbée comme variable. Cette relation nous ouvre la voie à la reconstruction
des coefficients de Fourier de la perturbation et nous aide à la reconstruction des coefficients de Fourier de la perturbation ce qui nous mène à formuler un développement asymptotique complet de
l'opérateur Dirichlet-Neumann.
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Panchea, Adina. "Inverse optimal control for redundant systems of biological motion." Thesis, Orléans, 2015. http://www.theses.fr/2015ORLE2050/document.

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Cette thèse aborde les problèmes inverses de contrôle optimal (IOCP) pour trouver les fonctions de coûts pour lesquelles les mouvements humains sont optimaux. En supposant que les observations de mouvements humains sont parfaites, alors que le processus de commande du moteur humain est imparfait, nous proposons un algorithme de commande approximative optimale. En appliquant notre algorithme pour les observations de mouvement humaines collectées: mouvement du bras humain au cours d'une tâche de vissage industrielle, une tâche de suivi visuel d’une cible et une tâche d'initialisation de la marche, nous avons effectué une analyse en boucle ouverte. Pour les trois cas, notre algorithme a trouvé les fonctions de coût qui correspondent mieux ces données, tout en satisfaisant approximativement les Karush-Kuhn-Tucker (KKT) conditions d'optimalité. Notre algorithme offre un beau temps de calcul pour tous les cas, fournir une opportunité pour son utilisation dans les applications en ligne. Pour la tâche de suivi visuel d’une cible, nous avons étudié une modélisation en boucle fermée avec deux boucles de rétroaction PD. Avec des données artificielles, nous avons obtenu des résultats cohérents en termes de tendances des gains et les critères trouvent par notre algorithme pour la tâche de suivi visuel d’une cible. Dans la seconde partie de notre travail, nous avons proposé une nouvelle approche pour résoudre l’IOCP, dans un cadre d'erreur bornée. Dans cette approche, nous supposons que le processus de contrôle moteur humain est parfait tandis que les observations ont des erreurs et des incertitudes d'agir sur eux, étant imparfaite. Les erreurs sont délimitées avec des limites connues, sinon inconnu. Notre approche trouve l'ensemble convexe de de fonction de coût réalisables avec la certitude qu'il comprend la vraie solution. Nous numériquement garanties en utilisant des outils d'analyse d'intervalle
This thesis addresses inverse optimal control problems (IOCP) to find the cost functions for which the human motions are optimal. Assuming that the human motion observations are perfect, while the human motor control process is imperfect, we propose an approximately optimal control algorithm. By applying our algorithm to the human motion observations collected for: the human arm trajectories during an industrial screwing task, a postural coordination in a visual tracking task and a walking gait initialization task, we performed an open loop analysis. For the three cases, our algorithm returned the cost functions which better fit these data, while approximately satisfying the Karush-Kuhn-Tucker (KKT) optimality conditions. Our algorithm offers a nice computational time for all cases, providing an opportunity for its use in online applications. For the visual tracking task, we investigated a closed loop modeling with two PD feedback loops. With artificial data, we obtained consistent results in terms of feedback gains’ trends and criteria exhibited by our algorithm for the visual tracking task. In the second part of our work, we proposed a new approach to solving the IOCP, in a bounded error framework. In this approach, we assume that the human motor control process is perfect while the observations have errors and uncertainties acting on them, being imperfect. The errors are bounded with known bounds, otherwise unknown. Our approach finds the convex hull of the set of feasible cost function with a certainty that it includes the true solution. We numerically guaranteed this using interval analysis tools
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Alvarez, Aramberri Julen. "hp-Adaptive Simulation and Inversion of Magnetotelluric Measurements." Thesis, Pau, 2015. http://www.theses.fr/2015PAUU3056/document.

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La magnéto-tellurique (MT) (Cagniard 1953, Tikhonov 1950) est une technique d'exploration de la Terre basée sur des mesures de champs électromagnétiques (EM). Une source naturelle (non artificielle) harmonique en temps et située dans l'ionosphère (Weaver 1994) produit un champ EM régi par les équations de Maxwell. Les champs électromagnétiques sont enregistrés par plusieurs récepteurs placés sur la surface de la Terre. Ces mesures sont utilisées pour produire une image du sous-sol à partir d'un procédé d'inversion utilisant des méthodes numériques. Nous utilisons la méthode hp-FEM résultant d'une extension du travail de Demkowicz 2005. Nous avons développé un logiciel qui résout, pour la première fois, le problème MT avec des éléments finis auto-adaptatifs. La méthode hp-FEM permet des raffinements locaux, à la fois en taille h et en ordre p sur les éléments, ce qui est un avantage notoire puisque la combinaison de ces deux types de critères permet de mieux capter la présence de singularités, fournissant ainsi des erreurs de discrétisation faible. C'est donc une méthode très précise dont la convergence est exponentielle (Gui and Babuska 1986, Babuska and Guo 1996). En raison des défis d'implémentation encore non résolus (Demkowicz et al. 2002) et de la complexité technique des calculs hp-FEM en 3D, nous nous limitons, dans ce travail, à des calculs en 1D et 2D.Le domaine de calcul est tronqué par un matériau absorbant (Perfectly Matched Layer PML, Berenger 1994), qui est conçu pour s'adapter automatiquement aux propriétés physiques des matériaux. En particulier, il s'ajuste efficacement à l'interface air-sol, où le contraste entre la conductivité des matériaux atteint jusqu'à seize ordres de grandeur. Dans cette thèse, nous présentons également des résultats préliminaires pour la mise en place d'une technique dimensionnelle adaptative plus connue sous le nom de DAM (Dimensionally Adaptive Method (DAM)). Lorsque la distribution de la résistivité du sous-sol dépend de multiples variables spatiales, une analyse correcte de la dimensionnalité (Ledo 2005, Martí et al. 2009, Weaver and Agarwal 2000) rend parfois possible de considérer les différentes régions avec des dimensions spatiales différentes. Par exemple, il est parfois possible d’interpréter la distribution comme une formation unidimensionnelle plus quelques hétérogénéités en 2D (ou 3D). Basée sur cette interprétation, la DAM tire profit d’une telle situation. Ainsi, l'idée principale de cette méthode est d'effectuer l'adaptativité sur la dimension spatiale en commençant par un problème de faible dimension et en utilisant les résultats obtenus pour minimiser le coût des problèmes de dimension supérieure. Nous commençons l'inversion avec un modèle 1D. Les résultats de ce problème d'inversion 1D sont utilisés comme information a priori sur les modèles de dimension supérieure. Un avantage fondamental de cette approche est que nous pouvons utiliser les solutions des problèmes de dimension inférieure précédemment calculées comme composantes du terme de régularisation associé à un problème de dimension supérieure afin d'augmenter la robustesse de l'inversion. Cette thèse propose également une analyse numérique rigoureuse de divers aspects des problèmes MT. En particulier, nous avons: (a) étudié l'effet de la source, (b) effectué une analyse fréquentielle de sensibilité, (c) illustré l'augmentation du taux de convergence lorsque l'adaptativité hp est employée, (d) séparé les effets 1D et 2D dans la solution numérique et (e) exploré l'intérêt de considérer différentes variables pour effectuer l'inversion
The magnetotelluric (MT) method is a passive exploration technique that aims at estimating the resistivity distribution of the Earth's subsurface, and therefore at providing an image of it. This process is divided into two different steps. The first one consists in recording the data. In a second step, recorded measurements are analyzed by employing numerical methods. This dissertation focuses in this second task. We provide a rigorous mathematical setting in the context of the Finite Element Method (FEM) that helps to understand the MT problem and its inversion process. In order to recover a map of the subsurface based on 2D MT measurements, we employ for the first time in Mts a multi-goal oriented self adaptive hp-Finite Element Method (FEM). We accurately solve both the full formulation as well as a secondary field formulation where the primary field is given by the solution of a 1D layered media. To truncate the computational domain, we design a Perfectly Matched Layer (PML) that automatically adapts to high-contrast material properties that appear within the subsurface and on the air-ground interface. For the inversion process, we develop a first step of a Dimensionally Adaptive Method (DAM) by considering the dimension of the problem as a variable in the inversion. Additionally, this dissertation supplies a rigorous numerical analysis for the forward and inverse problems. Regarding the forward modelization, we perform a frequency sensitivity analysis, we study the effect of the source, the convergence of the hp-adaptivity, or the effect of the PML in the computation of the electromagnetic fields and impedance. As far as the inversion is concerned, we study the impact of the selected variable for the inversion process, the different information that each mode provides,and the gains of the DAM approach
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Buchert, Pascale. "Polymerisation d'un monomere cationique, le chlorure de methacryloxyethyltrimethylammonium, en microemulsion inverse : formulation, caracterisation et comportement rheologique des microlatex formes." Université Louis Pasteur (Strasbourg) (1971-2008), 1988. http://www.theses.fr/1988STR13106.

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Des poly (chlorure de methacryloyloethyltrimethylammonium) (madquat) solubilises dans des microgouttelettes d'eau dispersees dans une huile ont ete prepares par polymerisation en microemulsion inverse. Les microlatex formes presentent des comportements newtoniens sous cisaillement jusqu'a des fractions volumiques de 50% et rheo-fluidifiantes au dela
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Buchert, Pascale. "Polymérisation d'un monomère cationique, le chlorure de méthacryloxyéthyltriméthylammonium, en microémulsion inverse formulation, caractérisation et comportement rhéologique des microlatex formés /." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb376122803.

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Adde, Geoffray. "Méthodes de traitement d'image appliquées au problème inverse en magnéto-électro-encéphalographie." Marne-la-vallée, ENPC, 2005. https://pastel.archives-ouvertes.fr/pastel-00001593.

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Clément, François. "Une formulation en temps de parcours par migration pour la détermination des vitesses de propagation acoustique à partir de données sismiques bi-dimensionnelles." Paris 9, 1994. http://www.theses.fr/1994PA090033.

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L'objet de cette thèse est la mise en œuvre d'une méthode, reposant sur une formulation en temps de parcours par migration, permettant la détermination automatique des vitesses de propagation acoustique à partir de données sismiques bidimensionnelles. Cette approche peut s'interpréter comme une méthode de dualité appliquée au problème usuel de minimisation de l'erreur des moindres carres entre les données et les mesures prédites. Les trois chapitres de la première partie concernent la construction d'outils de base: simulation numérique de l'équation des ondes acoustiques par différences finies, séparation des effets de propagation et de réflexion par représentation des paramètres acoustiques dans une base multi-échelle et migration quantitative par préconditionnement de l'opérateur de migration usuel obtenu à partir d'un calcul de gradient. Les quatre chapitres de la seconde partie concernent la reformulation en temps elle-même: motivations et idées directrices, description de la nouvelle modélisation directe, calcul et visualisation des gradients de la nouvelle fonction coût et résultats de minimisation de cette fonction coût. Les illustrations numériques portent sur des données synthétiques obtenues à partir d'un modèle à structure simple mais comportant d'importantes variations latérales de vitesse. Les résultats d'inversion de ces données sont très satisfaisant en ce sens qu'ils sont obtenus par une méthode de minimisation locale (de type quasi-Newton) à partir d'un point initial très pauvre (constante)
The aim of this thesis is the implantation of a method, wich consists in a migration-based traveltime formulation, allowing the automatic detremination of the velocities from 2D seismic data. This approach interprets itself as a duality method applied ti the usual minimisation problem of the least-square error between data and predicted measures. The three chapters of the first part deal with the construction of basic tools : finite differences numerical simulation of the acoustic wave equation, separation of the propagation and reflection effects by representation of the acoustic parameters on a multiscaled basis and quantitative migration through a preconditionning of the usual migration operator obtained via a gradient calculation. The four chapters of the second part deal with the time formulation itself : motivations and key ideas, description of the new forward model, computation and visualisation of the gradients of the new cost functionand results of the minimisation of this cost function. Numerical illustrations are obtained with synthetic data wich are computed from a model with a simple structure but with important lateral velocity variations. THe results of the inversion of these data are very satisfying as they are obtained by a local (Quasi-Newton-based) minimisation method from a very poor initial point (constant)
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Park, Won-Kwang. "Diffraction inverse par des inclusions minces et des fissures." Phd thesis, Ecole Polytechnique X, 2009. http://pastel.archives-ouvertes.fr/pastel-00004834.

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Le contrôle non destructif de défauts du type fissures pénétrables ou impénétrables constitue un problème inverse très intéressant parmi ceux de la physique, de l'ingénierie des matériaux et structures, des sciences médicales, etc., et en soi est donc un sujet d'importance sociétale certaine. Le but de cette thèse est de développer des méthodes de reconstruction efficaces afin de les appliquer à une variété de problèmes de fissures. Premièrement, nous proposons un algorithme non-itératif afin de déterminer les extrémités de fissures conductrices, algorithme basé sur une formulation asymptotique appropriée et une méthode d'identification de pôles simples et de résidus d'une fonction méromorphe. Puis un algorithme non-itératif de type MUSIC(MUltiple SIgnal Classification) est considéré afin d'imager une fissure pénétrable ou impénétrable à partir du champ qu'elle diffracte, ce champ pouvant être représenté grâce à une formulation asymptotique rigoureuse. Une technique d'ensembles de niveaux est alors proposé afin de reconstruire une fissure pénétrable, deux fonctions d'ensemble de niveaux étant utilisées pour la décrire puisqu'une méthode traditionnelle d'ensembles de niveaux ne le permet pas de par sa petite épaisseur. Finalement, cette thèse traite de la reconstruction des fissures courtes et étendues avec des conditions limites de Dirichlet. Nous développons alors un algorithme de type MUSIC pour reconstruire les petites fissures et un algorithme d'optimisation pour les fissures longues basé sur la formulation asymptotique. Des simulations numériques nombreuses illustrent les performances des méthodes de reconstruction proposées.
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Books on the topic "Formulation Inverse"

1

Friedland, S. The formulation and analysis of numerical methods for inverse eigenvalue problems. New York: Courant Institute of Mathematical Sciences, New York University, 1985.

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1942-, Ingham Derek B., and Wrobel L. C. 1952-, eds. Boundary integral formulations for inverse analysis. Southampton, UK: Computational Mechanics Publications, 1997.

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Sokkalingam, P. T. Inverse spanning tree problems: Formulations and algorithms. [Cambridge, Mass: Sloan School of Management, Massachusetts Institute of Technology], 1996.

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Zomaya, Albert Y. Distributed VLSI architectures for fast Jacobian and inverse Jacobian formulations. Sheffield: University of Sheffield, Dept. of Control Engineering, 1988.

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Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems. Creative Media Partners, LLC, 2023.

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Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems. Creative Media Partners, LLC, 2023.

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The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems. Franklin Classics, 2018.

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The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems. Franklin Classics, 2018.

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Mann, Peter. The Stationary Action Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0007.

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This crucial chapter focuses on the stationary action principle. It introduces Lagrangian mechanics, using first-order variational calculus to derive the Euler–Lagrange equation, and the inverse problem is described. The chapter then considers the Ostrogradsky equation and discusses the properties of the extrema using the second-order variation to the action. It then discusses the difference between action functions (of Dirichlet boundary conditions) and action functionals of the extremal path. The different types of boundary conditions (Dirichlet vs Neumann) are elucidated. Topics discussed include Hessian conditions, Douglas’s theorem, the Jacobi last multiplier, Helmholtz conditions, Noether-type variation and Frenet–Serret frames, as well as concepts such as on shell and off shell. Actions of non-continuous extremals are examined using Weierstrass–Erdmann corner conditions, and the action principle is written in the most general form as the Hamilton–Suslov principle. Important applications of the Euler–Lagrange formulation are highlighted, including protein folding.
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Horing, Norman J. Morgenstern. Interacting Electron–Hole–Phonon System. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0011.

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Chapter 11 employs variational differential techniques and the Schwinger Action Principle to derive coupled-field Green’s function equations for a multi-component system, modeled as an interacting electron-hole-phonon system. The coupled Fermion Green’s function equations involve five interactions (electron-electron, hole-hole, electron-hole, electron-phonon, and hole-phonon). Starting with quantum Hamilton equations of motion for the various electron/hole creation/annihilation operators and their nonequilibrium average/expectation values, variational differentiation with respect to particle sources leads to a chain of coupled Green’s function equations involving differing species of Green’s functions. For example, the 1-electron Green’s function equation is coupled to the 2-electron Green’s function (as earlier), also to the 1-electron/1-hole Green’s function, and to the Green’s function for 1-electron propagation influenced by a nontrivial phonon field. Similar remarks apply to the 1-hole Green’s function equation, and all others. Higher order Green’s function equations are derived by further variational differentiation with respect to sources, yielding additional couplings. Chapter 11 also introduces the 1-phonon Green’s function, emphasizing the role of electron coupling in phonon propagation, leading to dynamic, nonlocal electron screening of the phonon spectrum and hybridization of the ion and electron plasmons, a Bohm-Staver phonon mode, and the Kohn anomaly. Furthermore, the single-electron Green’s function with only phonon coupling can be rewritten, as usual, coupled to the 2-electron Green’s function with an effective time-dependent electron-electron interaction potential mediated by the 1-phonon Green’s function, leading to the polaron as an electron propagating jointly with its induced lattice polarization. An alternative formulation of the coupled Green’s function equations for the electron-hole-phonon model is applied in the development of a generalized shielded potential approximation, analysing its inverse dielectric screening response function and associated hybridized collective modes. A brief discussion of the (theoretical) origin of the exciton-plasmon interaction follows.
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Book chapters on the topic "Formulation Inverse"

1

Palací-López, Daniel, Joan Borràs-Ferrís, Pierantonio Facco, Massimiliano Barolo, and Alberto Ferrer. "Inverse Design via PLS Model Inversion." In The Digital Transformation of Product Formulation, 266–86. Boca Raton: CRC Press, 2024. http://dx.doi.org/10.1201/9781003385974-16.

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Banks, H. T., Ariel Cintrón-Arias, and Franz Kappel. "Parameter Selection Methods in Inverse Problem Formulation." In Lecture Notes in Mathematics, 43–73. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32882-4_3.

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Tsukiji, Tetsuhiro. "Inverse Formulation for Incompressible Viscous Two-Dimensional and Axisymmetric Flow Problems." In Inverse Problems in Engineering Mechanics, 121–30. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-52439-4_13.

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Zhou, Xianlian, and Jia Lu. "Inverse Formulation for Geometrically Exact Stress Resultant Shell." In Computational Mechanics, 320. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-75999-7_120.

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da Silva Neto, Antônio José, and Haroldo Fraga de Campos Velho. "Inverse Problems in Radiative Transfer: An Implicit Formulation." In Computational Intelligence Applied to Inverse Problems in Radiative Transfer, 19–28. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-43544-7_3.

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Shubin, Gregory R. "Optimization Problem Formulation for Multidisciplinary Design." In Proceedings of the Conference Inverse Problems and Optimal Design in Industry, 213–16. Wiesbaden: Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-96658-2_11.

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Gubatenko, V. P. "On the Formulation of Inverse Problem in Electrical Prospecting." In Springer Proceedings in Mathematics & Statistics, 21–28. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00660-4_2.

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Panigrahi, Ramanuja, Santanu K. Mishra, and Avinash Joshi. "Inverse Problem of Converter Synthesis: Formulation, Complexities, and Solution." In Lecture Notes in Electrical Engineering, 157–68. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-1978-6_14.

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Firus, Andrei. "Formulation of an inverse problem for moving force identification." In A Contribution to Moving Force Identification in Bridge Dynamics, 71–92. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. http://dx.doi.org/10.1007/978-3-658-39838-5_5.

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Malmberg, John Bondestam. "A Posteriori Error Estimate in the Lagrangian Setting for an Inverse Problem Based on a New Formulation of Maxwell’s System." In Inverse Problems and Applications, 43–53. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12499-5_3.

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Conference papers on the topic "Formulation Inverse"

1

Merino, Sebastian, and Roberto Lavarello. "Spatially-Weighted Inverse Formulation for Enhanced Ultrasound Attenuation Imaging." In 2024 IEEE International Symposium on Biomedical Imaging (ISBI), 1–4. IEEE, 2024. http://dx.doi.org/10.1109/isbi56570.2024.10635654.

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Tarantola, A. "Probabilistic Formulation of Inverse Problems." In EAGE Conference on Petroleum Geostatistics. European Association of Geoscientists & Engineers, 2007. http://dx.doi.org/10.3997/2214-4609.201403063.

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Wilson, D. E. "An Explicit Inverse Design Formulation for Compressible Flow." In ASME 1986 International Gas Turbine Conference and Exhibit. American Society of Mechanical Engineers, 1986. http://dx.doi.org/10.1115/86-gt-81.

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A new singular integral equation method has been developed for solving the full nonlinear potential flow about an arbitrary body. The method bears some resemblance to conventional integral methods, however it is inherently different in that the surface geometry is contained explicitly in the resulting integral equations. Several analytical results are exploited to reduce the two-dimensional integral equations to a one-dimensional problem on the body surface. The integral equation is inverted so that the airfoil geometry is given as an explicit function of the velocity field. The resulting one-dimensional integral equations are solved numerically and the results are compared with existing theoretical methods for both analysis and inverse design problems.
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So, Poman P. M., and Wolfgang J. R. Hoefer. "Johns Matrix formulation of inverse TLM problems." In 2014 16th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM). IEEE, 2014. http://dx.doi.org/10.1109/antem.2014.6887729.

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Grigorievskiy, Alexander, Neil Lawrence, and Simo Sarkka. "Parallelizable sparse inverse formulation Gaussian processes (SpInGP)." In 2017 IEEE 27th International Workshop on Machine Learning for Signal Processing (MLSP). IEEE, 2017. http://dx.doi.org/10.1109/mlsp.2017.8168130.

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Dey, Arindam, and Prabir K. Basudhar. "Inverse Formulation for Burger Model Parameter Estimation." In International Symposium on Advances in Ground Technology & Geo-Information. Singapore: Research Publishing Services, 2011. http://dx.doi.org/10.3850/978-981-07-0188-8_p032.

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ten Thije Boonkkamp, Jan, Martijn Anthonissen, Pieter Braam, and Wilbert IJzerman. "Generating function formulation for inverse freeform design." In Illumination Optics VII, edited by Tina E. Kidger, Stuart David, and Thorsten Schupp. SPIE, 2024. http://dx.doi.org/10.1117/12.3016957.

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Tuvi, Ram, Ehud Heyman, and Timor Melamed. "Beam Domain Formulation for Tomographic Inverse Scattering. Part II: The Inverse Problem." In 2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2018. http://dx.doi.org/10.1109/apusncursinrsm.2018.8608804.

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Pustelnik, Nelly, Patrice Abry, Herwig Wendt, and Nicolas Dobigeon. "Inverse problem formulation for regularity estimation in images." In 2014 IEEE International Conference on Image Processing (ICIP). IEEE, 2014. http://dx.doi.org/10.1109/icip.2014.7026227.

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de Moraes, Fernando S. "Joint formulation for geostatistical and geophysical‐inverse problems." In SEG Technical Program Expanded Abstracts 1997. Society of Exploration Geophysicists, 1997. http://dx.doi.org/10.1190/1.1885735.

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Reports on the topic "Formulation Inverse"

1

Walker, David, and Jeffrey Renfrow. Toxicological reconnaissance of Arsenal? use along the Rio Grande River through Big Bend National Park: Final report. National Park Service, 2024. http://dx.doi.org/10.36967/2302769.

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This study examined the biological response of aquatic organisms, collected in situ and from laboratory toxicity testing of water and soil to the herbicide Arsenal? primarily used to decrease the invasive species Arundo donax in the Rio Grande River through Big Bend National Park in Texas (USA). Biological, toxicological, physicochemical, and flow data were collected before, during, and after an Arsenal? treatment from 4 reference and 3 treatment sites. Significant differences existed in ecoregion 24 B-IBI scoring, and in toxicity testing of water and sediment, between treatment and reference sites. Greater toxicity, and a higher inverse relationship to B-IBI scoring, was observed in sediment samples compared to water samples. This could be due to the surfactant nonylphenol ethoxylate (NPE), added to the Arsenal? formulation rather than the active ingredient imazapyr. Care must be implemented with the results of this research due to many confounding variables that occurred during the study period including flash flooding. Although flashy hydrology is relatively common to the region, it can influence aquatic macroinvertebrate assemblage structure, function, and species richness measures with these dropping due to scour and downstream displacement within a reach during, and for some period following, flooding. Therefore, flash flooding would be expected to have some effect on aquatic macroinvertebrate assemblages and subsequent B-IBI scoring. Additionally, flooding will cause some displacement, and deposition, of sediment throughout the study area. This flooding could impact the sediment toxicity results as sediment-bound contaminants could be spread some distance from their origin. Arsenal? treatment occurred during this study near sites Treatment 1 and Treatment 2 on 5/29 and 5/31 2022 respectively. This represented an extreme condition as far as concentration of potential toxicants in the water are concerned and these relatively high concentrations would be expected to have decreased within a relatively short period of time, especially in the water. It was outside of the scope and budget of this project to obtain concentrations of imazapyr or surfactants from sediment or water. Therefore, exact doses of imazapyr or surfactant for response curves could not be obtained. No sample site exists in isolation rather, influences from one reach can significantly impact downstream areas. This is especially true for aquatic ecosystems in arid regions that often exhibit flashy hydrology. However, we believe the findings from this study provide indication of potential toxicity of some magnitude as well as provide direction for management. Decisions of whether the toxic effects of herbicide use to aquatic macroinvertebrates outweigh the beneficial effects of Arundo donax control should be carefully considered.
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