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Discontinuous Galerkin methodanalysi...

Dolejsi, Vit.

Discontinuous Galerkin methodanalysis and applications to compressible flow /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Discontinuous Galerkin methodby Vit Dolejsi, Miloslav Feistauer.
其他題名:	analysis and applications to compressible flow /
作者:	Dolejsi, Vit.
其他作者:	Feistauer, Miloslav.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xiv, 572 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Galerkin methods.
電子資源:	http://dx.doi.org/10.1007/978-3-319-19267-3
ISBN:	9783319192673 (electronic bk.)

Discontinuous Galerkin methodanalysis and applications to compressible flow /
Dolejsi, Vit.

Discontinuous Galerkin methodanalysis and applications to compressible flow /[electronic resource] :by Vit Dolejsi, Miloslav Feistauer. - Cham :Springer International Publishing :2015. - xiv, 572 p. :ill., digital ;24 cm. - Springer series in computational mathematics,v.480179-3632 ;. - Springer series in computational mathematics ;42..

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.

ISBN: 9783319192673 (electronic bk.)

Standard No.: 10.1007/978-3-319-19267-3doiSubjects--Topical Terms:

224222
Galerkin methods.

LC Class. No.: QA372

Dewey Class. No.: 518.63

Discontinuous Galerkin methodanalysis and applications to compressible flow /
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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.
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.
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