Discontinuous Galerkin Method Analysis and Applications to Compressible Flow

The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to t...

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Bibliographic Details
Main Authors: Dolejší, Vít, Feistauer, Miloslav (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2015, 2015
Edition:1st ed. 2015
Series:Springer Series in Computational Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Dolejší, Vít 
245 0 0 |a Discontinuous Galerkin Method  |h Elektronische Ressource  |b Analysis and Applications to Compressible Flow  |c by Vít Dolejší, Miloslav Feistauer 
250 |a 1st ed. 2015 
260 |a Cham  |b Springer International Publishing  |c 2015, 2015 
300 |a XIV, 572 p. 87 illus., 4 illus. in color  |b online resource 
505 0 |a Introduction -- Part I: Analysis of the discontinuous Galerkin method -- DGM for elliptic problems -- Methods based on a mixed formulation -- DGM for convection-diffusion problems -- Space-time discretization by multi-step methods -- Space-time discontinuous Galerkin method  -- Generalization of the DGM -- Part II:  Applications of the discontinuous Galerkin method -- Inviscid compressible flow -- Viscous compressible flow -- Fluid-structure interaction -- References -- Index.   
653 |a Numerical Analysis 
653 |a Mathematics / Data processing 
653 |a Computational Science and Engineering 
653 |a Mathematical Modeling and Industrial Mathematics 
653 |a Numerical analysis 
653 |a Applications of Mathematics 
653 |a Mathematics 
653 |a Mathematical models 
700 1 |a Feistauer, Miloslav  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Springer Series in Computational Mathematics 
028 5 0 |a 10.1007/978-3-319-19267-3 
856 4 0 |u https://doi.org/10.1007/978-3-319-19267-3?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 518 
520 |a The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the book’s uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow