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Mathematical Aspects of Discontinuous Galerkin Methods
This book introduces the basic ideas for building discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. It is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wid...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Mathématiques et Applications,
69 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-22980-0 | ||
| 003 | DE-He213 | ||
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| 008 | 111102s2012 gw | s |||| 0|eng d | ||
| 020 | |a 9783642229800 |9 978-3-642-22980-0 | ||
| 024 | 7 | |a 10.1007/978-3-642-22980-0 |2 doi | |
| 050 | 4 | |a QA297-299.4 | |
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| 082 | 0 | 4 | |a 518 |2 23 |
| 100 | 1 | |a Di Pietro, Daniele Antonio. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mathematical Aspects of Discontinuous Galerkin Methods |h [electronic resource] / |c by Daniele Antonio Di Pietro, Alexandre Ern. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2012. | |
| 300 | |a XVII, 384 p. 34 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Mathématiques et Applications, |x 2198-3275 ; |v 69 | |
| 505 | 0 | |a Basic concepts -- Steady advection-reaction -- Unsteady first-order PDEs -- PDEs with diffusion -- Additional topics on pure diffusion -- Incompressible flows -- Friedhrichs' Systems -- Implementation. | |
| 520 | |a This book introduces the basic ideas for building discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. It 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 utilized 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. | ||
| 650 | 0 | |a Numerical analysis. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 1 | 4 | |a Numerical Analysis. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 700 | 1 | |a Ern, Alexandre. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642229817 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642229794 |
| 830 | 0 | |a Mathématiques et Applications, |x 2198-3275 ; |v 69 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-22980-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||