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hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
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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
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