Discontinuous Galerkin Method [electronic resource] : Analysis and Applications to Compressible Flow / by Vít Dolejší, Miloslav Feistauer.

By: Dolejší, Vít [author.]
Contributor(s): Feistauer, Miloslav [author.] | SpringerLink (Online service)
Material type: TextTextSeries: Springer Series in Computational Mathematics: 48Publisher: Cham : Springer International Publishing : Imprint: Springer, 2015Description: XIV, 572 p. 87 illus., 4 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319192673Subject(s): Mathematics | Applied mathematics | Engineering mathematics | Computer mathematics | Numerical analysis | Mathematical models | Mathematics | Numerical Analysis | Computational Science and Engineering | Mathematical Modeling and Industrial Mathematics | Applications of MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 518 LOC classification: QA297-299.4Online resources: Click here to access online
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.  .
In: Springer eBooksSummary: 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.
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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.  .

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.

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