| Titre : |
Mathematical Aspects of Discontinuous Galerkin Methods |
| Type de document : |
texte imprimé |
| Auteurs : |
Daniele Antonio Di Pietro, Auteur ; Alexandre Ern (1967-....), Auteur |
| Editeur : |
Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag |
| Année de publication : |
cop. 2012 |
| Collection : |
Mathématiques et applications (Paris), ISSN 1154-483X num. 69 |
| Importance : |
1 vol. (xvii, 384 p.) |
| Présentation : |
ill. |
| Format : |
23 cm |
| ISBN/ISSN/EAN : |
978-3-642-22979-4 |
| Note générale : |
La couv. porte en plus : "SMAI". - Sommaire : Pt. 1. Scalar first-order PDEs -- Pt. 2. Scalar second-order PDEs -- Pt. 3. Systems. - ISBN :
978-3-642-22979-4 (br.) . - PPN 156908123
|
| Langues : |
Anglais (eng) |
| Tags : |
Galerkine, Méthodes de Fonctions discontinues Mathématiques de l'ingénieur Galerkin methods Discontinuous functions Engineering mathematics |
| Index. décimale : |
518.63 Solutions numériques des équations différentielles ordinaires |
| Résumé : |
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed. |
| Note de contenu : |
Bibliogr. p. 355-373. Index. |
Mathematical Aspects of Discontinuous Galerkin Methods [texte imprimé] / Daniele Antonio Di Pietro, Auteur ; Alexandre Ern (1967-....), Auteur . - Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag, cop. 2012 . - 1 vol. (xvii, 384 p.) : ill. ; 23 cm. - ( Mathématiques et applications (Paris), ISSN 1154-483X; 69) . ISBN : 978-3-642-22979-4 La couv. porte en plus : "SMAI". - Sommaire : Pt. 1. Scalar first-order PDEs -- Pt. 2. Scalar second-order PDEs -- Pt. 3. Systems. - ISBN :
978-3-642-22979-4 (br.) . - PPN 156908123
Langues : Anglais ( eng)
| Tags : |
Galerkine, Méthodes de Fonctions discontinues Mathématiques de l'ingénieur Galerkin methods Discontinuous functions Engineering mathematics |
| Index. décimale : |
518.63 Solutions numériques des équations différentielles ordinaires |
| Résumé : |
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed. |
| Note de contenu : |
Bibliogr. p. 355-373. Index. |
|
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