Academic literature on the topic 'Inverse method'

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Journal articles on the topic "Inverse method"

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K.C. Mishra, K. C. Mishra. "Inverse Homotopy Perturbation Method for Nonlinear systems." International Journal of Scientific Research 2, no. 4 (June 1, 2012): 61–64. http://dx.doi.org/10.15373/22778179/apr2013/86.

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Prasad, K. Manjunatha, and M. David Raj. "Bordering method to compute Core-EP inverse." Special Matrices 6, no. 1 (April 1, 2018): 193–200. http://dx.doi.org/10.1515/spma-2018-0016.

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Abstract Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also leads to provide a characterization of Drazin index in terms of bordering.
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Wei, Wang Tian, Xue Xing Heng, and Liu Ru Xun. "Filtering inverse method." Inverse Problems 3, no. 1 (February 1, 1987): 143–48. http://dx.doi.org/10.1088/0266-5611/3/1/016.

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Soleymani, F., M. Sharifi, and S. Shateyi. "Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse." Journal of Applied Mathematics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/731562.

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This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence. The extension of the proposed iterative method for computing Moore-Penrose inverse is furnished. Numerical results including the comparisons with different existing methods of the same type in the literature will also be presented to manifest the superiority of the new algorithm in finding approximate inverses.
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Wolff, Mareille, and Jens Bange. "Inverse method as an analysing tool for airborne measurements." Meteorologische Zeitschrift 9, no. 6 (December 21, 2000): 361–76. http://dx.doi.org/10.1127/metz/9/2000/361.

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Oldenburg, D. W., and Yaoguo Li. "Subspace linear inverse method." Inverse Problems 10, no. 4 (August 1, 1994): 915–35. http://dx.doi.org/10.1088/0266-5611/10/4/011.

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D??Dârlat, D., M. Chirtoc, C. Nema??u, R. M. Cândea, and D. Bicanic. "Inverse Photopyroelectric Detection Method." physica status solidi (a) 121, no. 2 (October 16, 1990): K231—K234. http://dx.doi.org/10.1002/pssa.2211210259.

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Artidiello, Santiago, Alicia Cordero, Juan R. Torregrosa, and María P. Vassileva. "Generalized Inverses Estimations by Means of Iterative Methods with Memory." Mathematics 8, no. 1 (December 18, 2019): 2. http://dx.doi.org/10.3390/math8010002.

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A secant-type method is designed for approximating the inverse and some generalized inverses of a complex matrix A. For a nonsingular matrix, the proposed method gives us an approximation of the inverse and, when the matrix is singular, an approximation of the Moore–Penrose inverse and Drazin inverse are obtained. The convergence and the order of convergence is presented in each case. Some numerical tests allowed us to confirm the theoretical results and to compare the performance of our method with other known ones. With these results, the iterative methods with memory appear for the first time for estimating the solution of a nonlinear matrix equations.
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Bin Jebreen, Haifa, and Yurilev Chalco-Cano. "An Improved Computationally Efficient Method for Finding the Drazin Inverse." Discrete Dynamics in Nature and Society 2018 (October 17, 2018): 1–8. http://dx.doi.org/10.1155/2018/6758302.

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Drazin inverse is one of the most significant inverses in the matrix theory, where its computation is an intensive and useful task. The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse. The convergence is investigated analytically by applying a suitable initial matrix. The theoretical discussions are upheld by several experiments showing the stability and convergence of the proposed method.
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Hendriko, Hendriko, Nurkhamdi Nurkhamdi, Jajang Jaenudin, and Imam M. Muthahar. "Analytical Based Inverse Kinematics Method for 5-axis Delta Robot." International Journal of Materials, Mechanics and Manufacturing 6, no. 4 (August 2018): 264–67. http://dx.doi.org/10.18178/ijmmm.2018.6.4.388.

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Dissertations / Theses on the topic "Inverse method"

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Li, Xi. "Focused inverse method for LF." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=18796.

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Logical frameworks allow us to specify formal systems and prove properties about them. One interesting logical framework is Twelf, a language that uses higher order abstract syntax to encode object languages into the meta language. Currently, uniform proofs have been used for describing proof search in backwards logic programming style. However, there are certain limitations to a backward system, for example, loop-detection mechanisms are required for some of the simplest problems to yield a solution. As a consequence, the search for a more effective proof search algorithm prevails and a forward system is proposed. This thesis will discuss the theoretical foundations for a forward uniform sequent calculus and the implementation of an inverse method prover for Twelf.
Les cadres logiques nous permettent de spécifier des systèmes formels et de prouver des propriétés à leur sujet. Un cadre logique intéressant est Twelf, un langage qui emploie la syntaxe abstraite d'ordre supérieur pour encoder des langages objet dans le méta-langage. Actuellement, nous employons des preuves uniformes pour décrire la recherche dans le style de programmation logique arrière. Cependant, il y a certaines limitations à un système arrière: des mécanismes de détection de boucle sont nécessaires pour trouver une solution à certains des problèmes les plus simples. Par conséquent, la recherche d'un algorithme plus efficace de recherche de preuve règne et un système vers l'avant est proposé. Cette thèse discutera les bases théoriques d'un calcul séquent uniforme vers l'avant et l'implantation d'un prouveur à méthode inverse pour Twelf.
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Deolmi, Giulia. "Computational Parabolic Inverse Problems." Doctoral thesis, Università degli studi di Padova, 2012. http://hdl.handle.net/11577/3423351.

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This thesis presents a general approach to solve numerically parabolic Inverse Problems, whose underlying mathematical model is discretized using the Finite Element method. The proposed solution is based upon an adaptive parametrization and it is applied specically to a geometric conduction inverse problem of corrosion estimation and to a boundary convection inverse problem of pollution rate estimation.
In questa tesi viene presentato un approccio numerico volto alla risoluzione di problemi inversi parabolici, basato sull'utilizzo di una parametrizzazione adattativa. L'algoritmo risolutivo viene descritto per due specici problemi: mentre il primo consiste nella stima della corrosione di una faccia incognita del dominio, il secondo ha come scopo la quanticazione di inquinante immesso in un fiume.
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Lin, Lianshan. "Characterization of material properties using inverse method." Thesis, University of Manchester, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.505378.

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The inverse analysis introduced in this dissertation involves detennining an object's properties. In engineering problems, the most important object properties are material or constitutive constants (elastic/plastic). In direct problems, engineers can conveniently look up for the material constants in standard materials handbooks, and use them to pred'ict the structure's responses under the given loads. However, in the cases where the material constants are not available from standard handbooks, or the material properties need to be detennined precisely since a small difference from those listed may have a great influence on the results, inverse methods will need to be used. So far the characterization inverse methods focus mostly on homogeneous isotropic or orthotropic materials. Primarily the characterization concentrated on two important material parameters: Young's Modulus and Poisson's ratio. An experimental-numerical solution of inverse method is brought up, which is verified to be more efficient than previous methods, in the characterization of homogeneous isotropic materials and orthotropic materials. Another important part of this thesis is the inverse method for the characterization of heterogeneous material properties. Applications of this inverse method show its capability in predicting inhomogeneous distribution of material constants. Furthermore, this heterogeneous characterization method can also provide detail localized material information for studies such as trivial initial crack failure evolution, etc.
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QUEIROZ, MARCIO SANTOS DE. "INVERSE DYNAMICS METHOD FOR ROBOT MANIPULATOR CONTROL." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1993. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=19548@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
O método da dinâmica inversa para o controle de manipuladores robóticos é apresentado. A ideia básica deste método é cancelar as não linearidades e acoplamentos, que caracterizam o comportamento dinâmico de manipuladores, através de um modelo dinâmico do mesmo (controlador primário). Com isto, o sistema resultante é linear e desaclopado, podendo ser controlado por técnicas de controle linear (controlador secundário). O método é inicialmente desenvolvido considerando o caso ideal do controlador primário (onde o modelo dinâmico é perfeito) e um PD para o controlador secundário. As implicações de imperfeições no cancelamento das não linearidades e aclopamentos do sistema pelo controlador primário são mostradas. As duas formulações existentes para o controlador primário – computed – torque e feedforward – são descritas. É sugerida uma formulação híbrida para contornar os problemas de implementação das duas formulações. Um enfoque maior é dado às versões simplificadas da formulação computed – torque. Simulações são feitas para melhor esclarecer esta questão. Em substituição ao PD, é descrito o projeto de um compensador linear robusto a partir do método das fatorações por matrizes própias e estáveis. O projeto é apresentado com análises mais detalhadas de algumas questões e com correções nos erros encontrados, em relação ao projeto existente na literatura. Análises comparativas com o PD são feitas e é explicada a influencia de frequências de amostragem no desempenho e ganhos do controlador PD.
The inverse dynamics control of robot manipulators is presented. The main idea of this control method is to cancel the nonlinearities and coupling effects, that describe the dynamic behavior of manipulators, using a dynamic model of the system (primary controller). Since the resulting system is linear and uncoupled, it can be controlled by linear control techniques (secondary controller). The method is initially derived considering the ideal case of the primary controller (where the dynamic model is perfect) and a PD for the secondary controller. The implications of inexact cancelling of the system nonlinearities and coupling effects by the primary controller are shown. The two existing primary controller formulations – computed-torque and feedforward – are described. A hybrid formulations is suggested to overcome the implementation problems of the two formulations. Special attention is given to the simplified computed-torque schemes, which are subject of controversy in the literature. Simulations are performed to better illustrate this matter. A robust linear compensator design, based on the stable factorization approach, is described analyses of some questions and with corrections of the detected mistakes, regarding the existing design. Comparative analyses with the PD are done. The effects of sampling rates on the tracking performances and PD gains are explained.
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Butler, Samuel Thomas James. "Inverse Scattering Transform Method for Lattice Equations." Thesis, The University of Sydney, 2012. http://hdl.handle.net/2123/8724.

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The main original contribution of this thesis is the development of a fully discrete inverse scattering transform (IST) method for nonlinear partial difference equations. The equations we solve are nonlinear partial difference equations on a quad-graph, also called lattice equations, which are known to be multidimensionally consistent in N dimensions for arbitrary N. Such equations were discovered by Nijhoff, Quispel and Capel and Adler and later classified by Adler, Bobenko and Suris. The main equation solved by our IST framework is the Q3δ lattice equation. Our approach also solves all of its limiting cases, including H1, known as the lattice potential KdV equation. Our results provide the discrete analogue of the solution of the initial value problem on the real line. We provide a rigorous justification that solves the problem for wide classes of initial data given along initial paths in a multidimensional lattice. Moreover, we show how soliton solutions arise from the IST method and also utilise asymptotics of the eigenfunctions to construct infinitely many conservation laws.
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Skare, Steven Edward. "An Inverse Design Method for Supersonic Airfoils." DigitalCommons@CalPoly, 2012. https://digitalcommons.calpoly.edu/theses/731.

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Airfoil design is one of the most important aspects of aircraft design. Slight changes in airfoil geometry can lead to significant changes in a wide variety of aircraft performance metrics. Inverse design methods offer an efficient alternative to standard direct methods. The key to this design problem is to derive a direct relationship between changes in airfoil geometry and changes in pressure or velocity distributions. This relationship is then used to modify an initial airfoil and its pressure distribution to match a target pressure distribution, which is specified by design parameters. At this point, the engineer now has a final airfoil based off of the design requirements. This paper attempts to provide a quick and easy inverse design method for a wide variety of supersonic scenarios. This is accomplished by using the class-shape transformation technique to parameterize airfoils during an iterative process. The robustness of the method is demonstrated through several distinct design cases including supersonic airfoils, unique geometries, and a Sears-Haack body.
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Castellet, Llerena Albert. "Solving inverse kinematics problems using an interval method." Doctoral thesis, Universitat Politècnica de Catalunya, 1998. http://hdl.handle.net/10803/5936.

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de la tesi

El principal objectiu d'aquesta tesi és establir una base teòrica que permeti resoldre problemes cinemàtics inversos mitjançant mètodes d'intervals.

La primera part de la tesi desenvolupa i formalitza una nova metodologia per a l'anàlisi de cadenes cinemàtiques espacials. Aquest enfoc es basa en l'estudi de la varietat d'automoviment del mecanisme esfèric ortogonal i en la seva relació amb el mecanisme de n-barres. El principal avantatge respecte a altres mètodes és la seva senzillesa i sobretot la seva generalitat, que permet el mateix tractament del problema per a quelsevol cadena cinemàtica, independentment del nombre d'elements o de la seva geometria.

En la segona part de la tesi s'estudia la utilització de mètodes d'intervals per a la resolució de problemes cinemàtics. En primer lloc s'ha fet un estudi exhaustiu dels mètodes d'intervals ja existents per a la resolució de sistemes d'equacions no lineals. Tot seguit es desenvolupen mètodes ad hoc per al nostre problema i per a les equacions de tancament generals obtingudes en la primera part.

En l'últim capítol es proposa un algoritme per a la resolució del problema cinemàtic invers basat en una combinació de mètodes d'intervals clàssics (mètodes de Newton) i els mètodes específics que s'han desenvolupat (talls directes i propagació d'intervals). L'algoritme està justificat amb detall, així com la seva implementació. Al final es presenten uns quants experiments amb resultats que avalen l'algoritme i es comparen amb altres mètodes.

La resolució del problema cinemàtic invers s'ha basat històricament en dos mètodes principalment: els mètodes d'eliminació i els de continuació. L'alternativa mitjançant un mètode d'intervals que es proposa té diversos avantatges clars respecte als altres mètodes: és general per a qualsevol cadena cinemàtica de llaç simple, troba totes les solucions, evita problemes numèrics i d'arrodoniment i és simple d'implementar. No obstant, encara és més lent que els últims algoritmes basats en mètodes d'eliminació.

Cal destacar que es tracta del primer treball que utilitza mètodes d'intervals per a problemes relacionats amb la robòtica. Els resultats obtinguts permeten avançar que els mètodes d'intervals seran una alternativa als mètodes d'eliminació i continuació per a problemes cinemàtics en el futur.
This thesis constitutes an interesting approach to the kinematic analysis of spatial mechanisms. It establishes a theoretical basis for applying interval methods to the resolution of inverse kinematics problems.

A short introduction describes the problem and states the objectives of the work. The previous work is described here concisely, with enough relevant references, but avoiding anything superfluous.

The content of the thesis is divided into two naturally differentiated parts, corresponding to the kinematic analysis and to interval methods respectively.

In the first part, a new general framework for the kinematic analysis of spatial mechanisms is developed. This approach is based on the self-motion manifold of the orthogonal spherical mechanism and the closely related n-bar mechanism, which is used to represent any kinematic loop. This part is very complete and formally structured with rigorous definitions, lemmas, theorems and their proofs.

The second part of the thesis deals with interval methods. The first chapter of this part is devoted to survey the existing interval methods for solving systems of nonlinear equations. Clearness is used here in front of formalism, which makes it easier to get a general idea of the methods. The next chapter constitutes, the second main contribution of the thesis: the development of ad hoc interval methods for inverse kinematic problems. The proposed interval propagation based on spherical geometry is a smart idea, derived directly from a geometric interpretation derived in the first part.

The last chapter proposes a general interval method for solving positional inverse kinematics problems, based on a classic interval Newton method, complemented with the specific cuts of the previous chapter. Some few examples are given, which give all the solutions.

Using interval methods in kinematics is a novel idea and has not been seriously considered before. This thesis is a first important contribution herein, with important and promising results, but leaving still plenty of room for future work. Most probably, it will be a research focus in the near future.
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Hazarika, Neep. "An inverse method for blended wing-body configurations." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/12498.

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Figueiredo, Patric. "Iterative method for solving inverse heat conduction problems." Master's thesis, Universidade de Aveiro, 2014. http://hdl.handle.net/10773/14400.

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Kang, Sangwoo. "Direct sampling method in inverse electromagnetic scattering problem." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS417/document.

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Le problème de l'imagerie non itérative dans le cadre de la diffraction électromagnétique inverse utilisant la méthode d'échantillonnage direct (DSM) est considéré. Grâce à une combinaison de l'expression asymptotique du champ proche ou du champ lointain diffracté et de l'hypothèse de petits obstacles, les expressions analytiques de la fonction d'indicateur DSM sont présentées dans diverses configurations telles que des configurations 2D/3D, mono-/multi-configurations statiques, à vue limitée/complète et fréquence unique/ diversité en fréquence. Une fois l'expression analytique obtenue, sa structure est analysée et des améliorations proposées. Notre approche est validée à l’aide de données de simulation, et d’expériences le cas échéant. Premièrement, la structure mathématique du DSM à fréquence fixe en 2D dans divers problèmes de diffusion est établie, permettant une analyse théorique de son efficacité et de ses limites. Pour surmonter les limitations connues, une méthode alternative d'échantillonnage direct (DSMA) est proposée. Puis le cas multi-fréquence est investigué en introduisant et en analysant le DSM multi-fréquence (MDSM) et le DSMA multi-fréquence (MDSMA). Enfin, notre approche est étendue aux problèmes de diffraction électromagnétique inverse 3D pour lesquels le choix de la polarisation du dipôle de test est un paramètre clé. De par notre approche analytique, ce choix peut être effectué sur la base de la polarisation du champ incident
The non-iterative imaging problem within the inverse electromagnetic scattering framework using the direct sampling method (DSM) is considered. Thanks to the combination of the asymptotic expression of the scattered near-field or far-field and of the small obstacle hypothesis the analytical expressions of the DSM indicator function are presented in various configurations such as 2D/3D configurations and/or mono-/multi-static configurations and/or limited-/full-view case and/or mono-/multi-frequency case. Once the analytical expression obtained, its structure is analyzed and improvements proposed. Our approach is validated using synthetic data and experimental ones when available. First, the mathematical structure of DSM at a fixed frequency in 2D various scattering problems is established allowing a theoretical analysis of its efficiency and limitations. To overcome the known limitations an alternative direct sampling method (DSMA) is proposed. Next, the multi-frequency case is investigated by introducing and analyzing the multi-frequency DSM (MDSM) and the multi-frequency DSMA (MDSMA).Finally, our approach is extended to 3D inverse electromagnetic scattering problems for which the choice of the polarization of the test dipole is a key parameter. Thanks to our analytical analysis it can be made based on the polarization of the incident field
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Books on the topic "Inverse method"

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André, Étienne, and Romain Soulat. The Inverse Method. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.

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The method of approximate inverse: Theory and applications. Berlin: Springer, 2007.

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Chu, Peter C. P-Vector Inverse Method. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-33386-9.

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Korepin, V. E. Quantum inverse scattering method and correlation functions. Cambridge [England]: Cambridge University Press, 1993.

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Solitons in multidimensions: Inverse spectral transform method. Singapore: World Scientific, 1993.

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Dimri, Vijay. Deconvolution and inverse theory: Application to geophysicalproblems. London: Elsevier, 1992.

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Schuster, Thomas. The Method of Approximate Inverse: Theory and Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-71227-5.

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1943-, Colton David L., and Monk Peter 1956-, eds. The linear sampling method in inverse electromagnetic scattering. Philadelphia: Society for Industrial and Applied Mathematics, 2011.

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Deconvolution and inverse theory: Application to geophysical problems. Amsterdam: Elsevier, 1992.

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Yurko, V. A. Method of spectral mappings in the inverse problem theory. Utrecht: VSP, 2002.

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Book chapters on the topic "Inverse method"

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Enns, Richard H., and George C. McGuire. "Inverse Scattering Method." In Nonlinear Physics with Mathematica for Scientists and Engineers, 491–510. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-0211-0_12.

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Enns, Richard H., and George McGuire. "Inverse Scattering Method." In Nonlinear Physics with Maple for Scientists and Engineers, 345–62. Boston, MA: Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4684-0032-8_11.

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Enns, Richard H., and George C. McGuire. "Inverse Scattering Method." In Nonlinear Physics with Maple for Scientists and Engineers, 473–92. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1322-2_12.

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André, Étienne, and Romain Soulat. "Parametric Timed Automata." In The Inverse Method, 1–22. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.ch1.

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André, Étienne, and Romain Soulat. "The Inverse Method for Parametric Timed Automata." In The Inverse Method, 23–54. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.ch2.

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André, Étienne, and Romain Soulat. "The Inverse Method in Practice: Application to Case Studies." In The Inverse Method, 55–80. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.ch3.

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André, Étienne, and Romain Soulat. "Behavioral Cartography of Timed Automata." In The Inverse Method, 81–102. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.ch4.

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André, Étienne, and Romain Soulat. "Parameter Synthesis for Hybrid Automata." In The Inverse Method, 103–20. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.ch5.

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André, Étienne, and Romain Soulat. "Application to the Robustness Analysis of Scheduling Problems." In The Inverse Method, 121–32. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.ch6.

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André, Étienne, and Romain Soulat. "Conclusion and Perspectives." In The Inverse Method, 133–36. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118569351.ch7.

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Conference papers on the topic "Inverse method"

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Hock, Ondrej, Peter Drgona, Viliam Jaros, and Rastislav Havrila. "Transposition method for inverse kinematics." In 2016 ELEKTRO. IEEE, 2016. http://dx.doi.org/10.1109/elektro.2016.7512055.

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Suleiman, Wael, Fumio Kanehiro, and Eiichi Yoshida. "Infeasibility-free inverse kinematics method." In 2015 IEEE/SICE International Symposium on System Integration (SII). IEEE, 2015. http://dx.doi.org/10.1109/sii.2015.7404996.

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Komis, Ioannis, Apostolos Brimis, Dimitrios G. Papazoglou, and Konstantinos G. Makris. "Inverse method for superoscillatory focusing." In Frontiers in Optics. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/fio.2022.jw5b.20.

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We provide an inverse method for constructing a superoscillatory optical mask for subwavelength focusing. Our approach is based on superoscillatory superpositions of paraxial Laguerre-Gaussian (LG) beams, by imposing subwavelength features.
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Morishita, E. "Inverse Schwartz–Christoffel panel method." In AFM 2016. Southampton UK: WIT Press, 2016. http://dx.doi.org/10.2495/afm160151.

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Phillipsen, Bent. "A Simple Inverse Cascade Design Method." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-68575.

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Abstract:
The design of profile sections is a key task in the axial turbomachinery design process. Both direct and inverse methods are in use for this purpose. Though it is relatively easy to fulfill mechanical and geometrical constraints with a direct method, where the complete geometry is specified, it can be difficult to obtain the desired distribution of velocity along the profile with this method. On the other hand, it can be difficult to get an acceptable geometry with an inverse method, where the velocity is prescribed and the geometry calculated. A simple inverse cascade design method, which combines the advantages of both the direct and the traditional inverse design method, is described. The theory behind this method directly shows how the prescribed loading distribution and the cascade design data, such as flow angles and blade thickness, influence the cascade geometry. Various practical aspects of the turbomachinery cascade design task and their relation to the described method are shown. The usefulness of the method is demonstrated through the recovery of the geometry of various cascades published in the literature. The method is valid for subsonic and shock free transonic turbine and compressor cascade design, but good results can also be obtained for turbine cascades with weak shocks, i.e. when shocks are not the dominating feature of the design.
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Aboud, S. J. "Baghdad method for calculating multiplicative inverse." In International Conference on Information Technology: Coding and Computing, 2004. Proceedings. ITCC 2004. IEEE, 2004. http://dx.doi.org/10.1109/itcc.2004.1286759.

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Myrontsov, M. L. "Electrometry effective inverse problem solving method." In Geoinformatics: Theoretical and Applied Aspects 2020. European Association of Geoscientists & Engineers, 2020. http://dx.doi.org/10.3997/2214-4609.2020geo090.

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Warrington, Don C., and James C. Newman. "Inverse Method for Pile Dynamics Using a Polytope Method." In IFCEE 2018. Reston, VA: American Society of Civil Engineers, 2018. http://dx.doi.org/10.1061/9780784481578.002.

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GIZA, Z., S. F. FILIPOWICZ, and J. SIKORA. "SIMULATED ANNEALING METHOD IN ELECTRICAL IMPEDANCE TOMOGRAPHY." In Proceedings of the International Conference on Inverse Problems. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704924_0031.

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Lee, W. S., and S. K. Lee. "The heat release rate of the fire predicted by sequential inverse method." In BOUNDARY ELEMENT METHOD 2006. Southampton, UK: WIT Press, 2006. http://dx.doi.org/10.2495/be06016.

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Reports on the topic "Inverse method"

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Isakov, Victor, Shingyu Leung, and Jianliang Qian. A Fast Local Level Set Method for Inverse Gravimetry. Cogeo@oeaw-giscience, September 2011. http://dx.doi.org/10.5242/iamg.2011.0066.

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Kovalenkov, A. N., S. M. Semchenkov, and M. S. Makarov. Spatial inverse filtering method based on a controlled structure filter. OFERNIO, November 2020. http://dx.doi.org/10.12731/ofernio.2020.24671.

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Hughett, P. An optimal constrained linear inverse method for magnetic source imaging. Office of Scientific and Technical Information (OSTI), September 1993. http://dx.doi.org/10.2172/10192344.

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Hull, Andrew J., and David A. Hurdis. An Inverse Method for Measuring the Flexural Wave Properties of a Beam. Fort Belvoir, VA: Defense Technical Information Center, November 2001. http://dx.doi.org/10.21236/ada401029.

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Hartland, Tucker, Cosmin Petra, Noemi Petra, and Jingyi Wang. Bound Constrained Partial DifferentialEquation Inverse Problem Solution by theSemi-Smooth Newton Method. Office of Scientific and Technical Information (OSTI), February 2021. http://dx.doi.org/10.2172/1765792.

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Hull, Andrew J. An Inverse Method to Measure the Axial Modulus of Composite Materials Under Tension. Fort Belvoir, VA: Defense Technical Information Center, January 1995. http://dx.doi.org/10.21236/ada293042.

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Eckert-Gallup, Aubrey Celia, Cedric Jean-Marie Sallaberry, Ann Renee Dallman, and Vincent Sinclair Neary. Modified Inverse First Order Reliability Method (I-FORM) for Predicting Extreme Sea States. Office of Scientific and Technical Information (OSTI), September 2014. http://dx.doi.org/10.2172/1157595.

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Chaconas, Karen. Range from triangulation using an inverse perspective method to determine relative camera pose. Gaithersburg, MD: National Institute of Standards and Technology, 1990. http://dx.doi.org/10.6028/nist.ir.4385.

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Thomas, Dennis, Zachary Weems, Richard Overstreet, and Benjamin Wilson. Inverse Reinforcement Learning based Bayesian Goal Inference Method for Early Nuclear Proliferation Detection. Office of Scientific and Technical Information (OSTI), October 2023. http://dx.doi.org/10.2172/2203121.

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Bledsoe, Keith C. Implement Method for Automated Testing of Markov Chain Convergence into INVERSE for ORNL12-RS-108J: Advanced Multi-Dimensional Forward and Inverse Modeling. Office of Scientific and Technical Information (OSTI), April 2015. http://dx.doi.org/10.2172/1234327.

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