Mathematical Aspects of Discontinuous Galerkin Methods / by Daniele Antonio Di Pietro, Alexandre Ern

By:

Di Pietro, Daniele Antonio [aut]

Contributor(s):

Ern, Alexandre, 1967- [oth]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mathématiques et Applications ; 69 | SpringerLink BücherPublisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2012Description: Online-Ressource (XVII, 384p, digital)ISBN:

9783642229800

Subject(s):

Additional physical formats: 9783642229794 | Buchausg. u.d.T.: Mathematical aspects of discontinuous Galerkin methods. Berlin : Springer, 2012. XVII, 384 SeitenDDC classification:

518.63
518.63 518/.63
518

MSC: MSC: *65N30 | 65M60 | 76M10 | 65-02 | 76R50 | 76M12 | 76D05 | 35Q30 | 65N12 | 65M12 | 65N50 | 65M50RVK: RVK: SK 920LOC classification:

QA297-299.4
QA372 .D57 2012

DOI: DOI: 10.1007/978-3-642-22980-0Online resources:

Contents:

Summary: Basic concepts -- Steady advection-reaction -- Unsteady first-order PDEs -- PDEs with diffusion -- Additional topics on pure diffusion -- Incompressible flows -- Friedhrichs' Systems -- Implementation.Summary: 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.PPN: PPN: 1651096163Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA

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