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Discontinuous Galerkin Method: Analysis and Applications to Compressible Flow: Springer Series in Computational Mathematics, cartea 48

Autor Vít Dolejší, Miloslav Feistauer
en Limba Engleză Hardback – 27 iul 2015
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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Specificații

ISBN-13: 9783319192666
ISBN-10: 3319192663
Pagini: 550
Ilustrații: XIV, 572 p. 87 illus., 4 illus. in color.
Dimensiuni: 155 x 235 x 40 mm
Greutate: 0.99 kg
Ediția:1st ed. 2015
Editura: Springer International Publishing
Colecția Springer
Seria Springer Series in Computational Mathematics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.
 

Textul de pe ultima copertă

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.

Caracteristici

Link between mathematical theory and practical solution of complicated systems of partial differential equations Excellent treatment of modern techniques for the solution of partial differential equations Survey of most recent discontinuous Galerkin schemes for the solution of compressible flow Includes supplementary material: sn.pub/extras