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hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
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Catalogue Information
Field name
Details
Dewey Class
518
Title
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes ([EBook]) / by Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston.
Author
Cangiani, Andrea
Added Personal Name
Dong, Zhaonan
author.
Georgoulis, Emmanuil H.
author.
Houston, Paul
author.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details
VIII, 131 p. 32 illus., 1 illus. in color. : online resource.
Series
SpringerBriefs in Mathematics
2191-8198
ISBN
9783319676739
Summary Note
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 elemen t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios. ?.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-67673-9
Links to Related Works
Subject References:
Computational Mathematics and Numerical Analysis
.
Computer mathematics
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Computer Science
.
Mathematics
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Mathematics of Computing
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Physics
.
Theoretical, Mathematical and Computational Physics
.
Authors:
Cangiani, Andrea
.
Dong, Zhaonan
.
Georgoulis, Emmanuil H.
.
Houston, Paul
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Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Mathematics
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Classification:
518
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