Auswahl der wissenschaftlichen Literatur zum Thema „Analyse numérique des équations aux dérivées partielles“
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Zeitschriftenartikel zum Thema "Analyse numérique des équations aux dérivées partielles"
Radjeai, Samia, Abdelkrim Keraghel und Djamel Benterki. „Application des méthodes d'optimisation pour la résolution du problème d'inégalités variationnelles“. Journal of Numerical Analysis and Approximation Theory 36, Nr. 1 (01.02.2007): 97–106. http://dx.doi.org/10.33993/jnaat361-859.
Der volle Inhalt der QuelleZella, L., A. Kettab und G. Chasseriaux. „Modélisation des réseaux de microirrigation“. Revue des sciences de l'eau 17, Nr. 1 (12.04.2005): 49–68. http://dx.doi.org/10.7202/705522ar.
Der volle Inhalt der QuelleMnasri, Aida, und Ezzeddine Hadj Taieb. „Simulation numérique par éléments finis des écoulements transitoires à surface libre“. La Houille Blanche, Nr. 5-6 (Dezember 2019): 81–92. http://dx.doi.org/10.1051/lhb/2019032.
Der volle Inhalt der QuelleDissertationen zum Thema "Analyse numérique des équations aux dérivées partielles"
Merlet, Benoît. „Sur quelques équations aux dérivées partielles et leur analyse numérique“. Paris 11, 2004. http://www.theses.fr/2004PA112162.
Der volle Inhalt der QuelleIn this thesis, four Partial Differential Equations of different nature are studied, numerically or/and theoretically. The first part deals with non-conservative hyperbolic systems in one space dimension. In the case of non-conservative hyperbolic systems, several definitions of shock waves exist in the literature, in this paper, we propose and study a new, very simple one in the case of genuinely non-linear fields. The second part is concerned with the Harmonic Map flow. We build solutions to the harmonic map flow from the unit disk into the unit sphere which have constant degree, in a co-rotational symmetric frame. First we prove the existence of such solutions, using a time semi-discrete scheme then we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularities. The third part deals with the initial-and-boundary value problem for the Kadomtse-Petviashvili II equation posed on a strip with a Dirichlet left boundary condition and two kinds of conditions on the right boundary. Moreover we treat the case of the half plane and we show a result of convergence. In the last part, we investigate by numerical means a conjecture proposed by Guy David about the existence of a new Global Minimizer for the Mumford-Shah Functional in R^3. We are led to study a spectral problem for the Laplace operator with Neumann boundary conditions on a two dimensional subdomain of the sphere S^2 with reentrant corners. In particular, we have to compute the first eigenvector of this operator and accurate approximations of the singular coefficients of this eigenvector at each corner. For that we use the Singular Complement Method
Ponenti, Pierre-Jean. „Algorithmes en ondelettes pour la résolution d'équations aux dérivées partielles“. Aix-Marseille 1, 1994. http://www.theses.fr/1994AIX11082.
Der volle Inhalt der QuelleLeboucher, Guillaume. „Méthodes de moyennisation stroboscopique appliquées aux équations aux dérivées partielles hautement oscillantes“. Thesis, Rennes 1, 2015. http://www.theses.fr/2015REN1S121/document.
Der volle Inhalt der QuelleThis thesis presents some original work in the field of high order averaging procedure. In particular, we are interested in stroboscopic and quasi-stroboscopic averaging procedure in abstract Banach or Hilbert spaces. This procedures is applied to concrete examples: some highly oscillatory evolution equations. More precisely, we first show a theorem of stroboscopic averaging in a Banach space where we obtain exponential error estimates. This theorem is then applied on two semi-linear and highly oscillatory wave equations. We also put in evidence that the {\it Stroboscopic Averaging Method} works fine with a semi-linear wave equation with Dirichlet conditions. Finally, the averaging procedure puts in evidence, numerically, an interesting dynamics regarding the semi-linear wave equation with Dirichlet conditions. In a second part, we present a quasi-stroboscopic averaging theorem in a Hilbert space with exponential error estimates. This theorem is applied on a semi-linear Schrödinger equation. This equation has first, to be project in a finite dimensional space in order to fit in the hypotheses of the theorem. We then write a quasi-stroboscopic averaging theorem for a semi-linear Schrödinger equation with polynomial error estimates
Duminil, Sébastien. „Extrapolation vectorielle et applications aux équations aux dérivées partielles“. Phd thesis, Université du Littoral Côte d'Opale, 2012. http://tel.archives-ouvertes.fr/tel-00790115.
Der volle Inhalt der QuelleMonthe, Luc Arthur. „Etude des équations aux dérivées partielles hyperboliques application aux équations de Saint-Venant“. Rouen, 1997. http://www.theses.fr/1997ROUES074.
Der volle Inhalt der QuelleAghili, Joubine. „Résolution numérique d'équations aux dérivées partielles à coefficients variables“. Thesis, Montpellier, 2016. http://www.theses.fr/2016MONTT250/document.
Der volle Inhalt der QuelleThis Ph.D. thesis deals with different aspects of the numerical resolution of Partial Differential Equations.The first chapter focuses on the Mixed High-Order method (MHO). It is a last generation mixed scheme capable of arbitrary order approximations on general meshes. The main result of this chapter is the equivalence between the MHO method and a Hybrid High-Order (HHO) primal method.In the second chapter, we apply the MHO/HHO method to problems in fluid mechanics. We first address the Stokes problem, for which a novel inf-sup stable, arbitrary-order discretization on general meshes is obtained. Optimal error estimates in both energy- and L2-norms are proved. Next, an extension to the Oseen problem is considered, for which we prove an error estimate in the energy norm where the dependence on the local Péclet number is explicitly tracked.In the third chapter, we analyse a hp version of the HHO method applied to the Darcy problem. The resulting scheme enables the use of general meshes, as well as varying polynomial orders on each face.The dependence with respect to the local anisotropy of the diffusion coefficient is explicitly tracked in both the energy- and L2-norms error estimates.In the fourth and last chapter, we address a perspective topic linked to model order reduction of diffusion problems with a parametric dependence. Our goal is in this case to understand the impact of the choice of the variational formulation (primal or mixed) used for the projection on the reduced space on the quality of the reduced model
Siaud, Bernard. „Etude de la résolution des équations aux dérivées partielles en 3D sur des machines parallèles“. Ecully, Ecole centrale de Lyon, 1995. http://www.theses.fr/1995ECDL0019.
Der volle Inhalt der QuelleA comparative study of different parallel computers have been realised from a algorithm solving a system of partial derivative equations (PDE). This work permitted to a evaluate the influence of parallelism on the time of calculation and the time of communication interprocessor. On this basis, we could define more precisely the shedule of conditions of the computer HA3D for intended to solve PDE's. Simple algorithms have been developped to improve convergence of Gauss-Seidel method (to decrease the number of calcultations) : approximation by big mailing, variation of coefficient of subrelaxation (VCS). The first method consist of initialisation of variable values (physical size to establish) by a calcul on more rough mailings of the studied domain discretized by methods of volums or differences finit. The VCS method is used a the time of updating of coefficients to take variable dependency into account
TUOMELA, JUKKA. „Analyse de certains problèmes liés a la résolution numérique des équations aux dérivées partielles hyperboliques linéaires“. Paris 7, 1992. http://www.theses.fr/1992PA077200.
Der volle Inhalt der QuelleTlili, Abderaouf. „Analyse de quelques méthodes numériques pour des problèmes d'évolution“. Lyon 1, 1994. http://www.theses.fr/1994LYO10293.
Der volle Inhalt der QuelleMartel, Sofiane. „Theoretical and numerical analysis of invariant measures of viscous stochastic scalar conservation laws“. Thesis, Paris Est, 2019. http://www.theses.fr/2019PESC1040.
Der volle Inhalt der QuelleThis devoted to the theoretical and numerical analysis of a certain class of stochastic partial differential equations (SPDEs), namely scalar conservation laws with viscosity and with a stochastic forcing which is an additive white noise in time. A particular case of interest is the stochastic Burgers equation, which is motivated by turbulence theory. We focus on the long time behaviour of the solutions of these equations through a study of the invariant measures. The theoretical part of the thesis constitutes the second chapter. In this chapter, we prove the existence and uniqueness of a solution in a strong sense. To this end, estimates on Sobolev norms up to the second order are established. In the second part of Chapter~2, we show that the solution of the SPDE admits a unique invariant measure. In the third chapter, we aim to approximate numerically this invariant measure. For this purpose, we introduce a numerical scheme whose spatial discretisation is of the finite volume type and whose temporal discretisation is a split-step backward Euler method. It is shown that this kind of scheme preserves some fundamental properties of the SPDE such as energy dissipation and L^1-contraction. Those properties ensure the existence and uniqueness of an invariant measure for the numerical scheme. Thanks to a few regularity estimates, we show that this discrete invariant measure converges, as the space and time steps tend to zero, towards the unique invariant measure for the SPDE in the sense of the second order Wasserstein distance. Finally, numerical experiments are performed on the Burgers equation in order to illustrate this convergence as well as some small-scale properties related to turbulence
Bücher zum Thema "Analyse numérique des équations aux dérivées partielles"
Brandt, Achi. Multigrid techniques: 1984 guide with applications to fluid dynamics. Philadelphia: Society for Industrial and Applied Mathematics, 2011.
Den vollen Inhalt der Quelle findenAmes, William F. Numerical methods for partial differential equations. 3. Aufl. Boston: Academic Press, 1992.
Den vollen Inhalt der Quelle findenDouchet, Jacques. Analyse: Recueil d'exercices et aide-mémoire. Lausanne: Presses polytechniques et universitaires romandes, 2004.
Den vollen Inhalt der Quelle findenG, Kaper H., und Garbey Marc 1955-, Hrsg. Asymptotic analysis and the numerical solution of partial differential equations. New York: M. Dekker, 1991.
Den vollen Inhalt der Quelle findenKochubei, Anatoly N. Pseudo-differential equations and stochastics over non-Archimedean fields. New York: Marcel Dekker, 2001.
Den vollen Inhalt der Quelle findenPoli͡anin, A. D. Handbook of first order partial differential equations. London: Taylor & Francis, 2002.
Den vollen Inhalt der Quelle findenLucquin, Brigitte. Introduction to scientific computing. Chichester: Wiley, 1998.
Den vollen Inhalt der Quelle findenTanabe, Hiroki. Functional analytic methods for partial differential equations. New York: Marcel Dekker, 1997.
Den vollen Inhalt der Quelle findenNATO Advanced Study Institute on Dynamics of Infinite Dimensional Systems (1986 Lisbon, Portugal). Dynamics of infinite dimensional systems. Berlin: Springer-Verlag, 1987.
Den vollen Inhalt der Quelle findenDresner, Lawrence. Applications of Lie's theory of ordinary and partial differential equations. Bristol: Institute of Physics Pub., 1999.
Den vollen Inhalt der Quelle findenBuchteile zum Thema "Analyse numérique des équations aux dérivées partielles"
Bony, Jean-Michel. „Analyse microlocale des équations aux dérivées partielles non linéaires“. In Microlocal Analysis and Applications, 1–45. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0085121.
Der volle Inhalt der Quelle„Première partie Introduction et méthodes d’analyse“. In Analyse quantitative des schémas numériques pour les équations aux dérivées partielles, 1–60. EDP Sciences, 2024. http://dx.doi.org/10.1051/978-2-7598-2761-9.c001.
Der volle Inhalt der Quelle„Table des figures“. In Analyse quantitative des schémas numériques pour les équations aux dérivées partielles, 235–38. EDP Sciences, 2024. http://dx.doi.org/10.1051/978-2-7598-2761-9.c004.
Der volle Inhalt der Quelle„Index“. In Analyse quantitative des schémas numériques pour les équations aux dérivées partielles, 239–40. EDP Sciences, 2024. http://dx.doi.org/10.1051/978-2-7598-2761-9.c005.
Der volle Inhalt der Quelle„Troisième partie Appendice“. In Analyse quantitative des schémas numériques pour les équations aux dérivées partielles, 195–234. EDP Sciences, 2024. http://dx.doi.org/10.1051/978-2-7598-2761-9.c003.
Der volle Inhalt der Quelle„Table des matières“. In Analyse quantitative des schémas numériques pour les équations aux dérivées partielles, iii—viii. EDP Sciences, 2024. http://dx.doi.org/10.1051/978-2-7598-2761-9.toc.
Der volle Inhalt der Quelle„Frontmatter“. In Analyse quantitative des schémas numériques pour les équations aux dérivées partielles, i—ii. EDP Sciences, 2024. http://dx.doi.org/10.1051/978-2-7598-2761-9.fm.
Der volle Inhalt der Quelle„Deuxième partie Applications“. In Analyse quantitative des schémas numériques pour les équations aux dérivées partielles, 61–194. EDP Sciences, 2024. http://dx.doi.org/10.1051/978-2-7598-2761-9.c002.
Der volle Inhalt der Quelle„VII Équations aux dérivées partielles“. In Analyse complexe et équations différentielles, 163–96. EDP Sciences, 2020. http://dx.doi.org/10.1051/978-2-7598-1222-6-008.
Der volle Inhalt der Quelle„VIII Équations aux dérivées partielles“. In Analyse complexe et équations différentielles, 207–24. EDP Sciences, 2020. http://dx.doi.org/10.1051/978-2-7598-1223-3-009.
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