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Discontinuous Galerkin method : analysis and applications to compressible flow / by Vít Dolejší, Miloslav Feistauer.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Dolejší, Vít, Author.
- Feistauer, M. (Miloslav), Author.
- Series:
- Springer Series in Computational Mathematics, 0179-3632 ; 48
- Language:
- English
- Subjects (All):
- Numerical analysis.
- Computer science--Mathematics.
- Computer science.
- Mathematical models.
- Applied mathematics.
- Engineering mathematics.
- Numerical Analysis.
- Computational Science and Engineering.
- Mathematical Modeling and Industrial Mathematics.
- Applications of Mathematics.
- Local Subjects:
- Numerical Analysis.
- Computational Science and Engineering.
- Mathematical Modeling and Industrial Mathematics.
- Applications of Mathematics.
- Physical Description:
- 1 online resource (575 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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. .
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 3-319-19267-1
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