The gradient discretisation method / Jérôme Droniou, Robert Eymard, Thierry Gallouët, ... [et al.]
Type de document : MonographieCollection : Mathématiques et applications, 82Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, 2002Description : 1 vol. (XXIV-497 p.) : ill. en noir et en coul. ; 24 cmISBN: 9783319790411.ISSN: 1154-483X.Bibliographie : Bibliogr. p. 487-493. Index.Sujet MSC : 65-02, Research exposition (monographs, survey articles) pertaining to numerical analysis65M12, Numerical analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M15, Numerical analysis, Error bounds for initial value and initial-boundary value problems involving PDEs
65M60, Numerical analysis, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEsEn-ligne : Zentralblatt | Springer
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries SMA (Browse shelf(Opens below)) | Available | 12532-01 |
Bibliogr. p. 487-493. Index
Publisher’s description: This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray-Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes
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