Druck auf Anfrage Neuware - Printed after ordering - Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages. This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable element-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.

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Bibliographic Details

Title: hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
Publisher: Springer, Berlin, Springer
Publication Date: 2017
Language: English
ISBN 10: 3319676717
ISBN 13: 9783319676715
Binding: Taschenbuch
Condition: Neu
Dimensions: 234 millimeters width by 156 millimeters height by 9 millimeters depth
Weight: 240 grams

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Synopsis

Self-contained introduction to discontinuous Galerkin methods

Extensive discussion on computer implementation of the methods presented

Cutting edge extensions of the very popular discontinuous Galerkin methods, explained in detail

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