Galerkin finite element methods for parabolic problems
This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multist...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | 2nd ed. |
| Serier: | Springer Series in Computational Mathematics
25 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Description d'après consultation du 28 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Galerkin finite element methods for parabolic problems, Vidar Thomée, 2nd edition, 2006, Berlin, Springer, 1 vol. (XII-370 p.), Springer series in computational mathematics, 3-540-33121-2 • Galerkin Finite Element Methods for Parabolic Problems, Texte imprimé, 9783540822028 • Galerkin finite element methods for parabolic problems, Vidar Thomée, 2nd edition, 2006, Berlin, Springer, 1 vol. (XII-370 p.), Springer series in computational mathematics, 3-540-33121-2 • Galerkin finite element methods for parabolic problems, Vidar Thomée, 2nd edition, 2006, Berlin, Springer, 1 vol. (XII-370 p.), Springer series in computational mathematics, 3-540-33121-2 |
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| 100 | 1 | |a Thomée, Vidar, |d 1933- | |
| 245 | 1 | 0 | |a Galerkin finite element methods for parabolic problems |c Vidar Thomée. |
| 250 | |a 2nd ed. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Series in Computational Mathematics |v 25 |x 2198-3712 | |
| 500 | |a Description d'après consultation du 28 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [355]-368. Index | ||
| 505 | 1 | |a The Standard Galerkin Method Methods Based on More General Approximations of the Elliptic Problem Nonsmooth Data Error Estimates More General Parabolic Equations Negative Norm Estimates and Superconvergence Maximum-Norm Estimates and Analytic Semigroups Single Step Fully Discrete Schemes for the Homogeneous Equation Single Step Fully Discrete Schemes for the Inhomogeneous Equation Single Step Methods and Rational Approximations of Semigroups Multistep Backward Difference Methods Incomplete Iterative Solution of the Algebraic Systems at the Time Levels The Discontinuous Galerkin Time Stepping Method A Nonlinear Problem Semilinear Parabolic Equations The Method of Lumped Masses The H1 and H?1 Methods A Mixed Method A Singular Problem Problems in Polygonal Domains Time Discretization by Laplace Transformation and Quadrature | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis. The second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature | ||
| 650 | |a Éléments finis, Méthode des | ||
| 650 | |a Méthodes de Galerkine | ||
| 650 | |a Équations différentielles paraboliques |x Solutions numériques | ||
| 776 | 0 | |0 113142897 |t Galerkin finite element methods for parabolic problems |f Vidar Thomée |e 2nd edition |d 2006 |c Berlin |n Springer |p 1 vol. (XII-370 p.) |s Springer series in computational mathematics |z 3-540-33121-2 | |
| 776 | 0 | |t Galerkin Finite Element Methods for Parabolic Problems |b Texte imprimé |z 9783540822028 | |
| 776 | 0 | |0 113142897 |t Galerkin finite element methods for parabolic problems |f Vidar Thomée |e 2nd edition |d 2006 |c Berlin |n Springer |p 1 vol. (XII-370 p.) |s Springer series in computational mathematics |z 3-540-33121-2 | |
| 776 | 0 | |0 113142897 |t Galerkin finite element methods for parabolic problems |f Vidar Thomée |e 2nd edition |d 2006 |c Berlin |n Springer |p 1 vol. (XII-370 p.) |s Springer series in computational mathematics |z 3-540-33121-2 | |
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