hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

The Resource hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
Label
hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
Statement of responsibility
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston
Creator
Contributor
Author
Subject
Language
eng
Summary
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.  .--
Member of
Assigning source
Provided by publisher
Cataloging source
EBLCP
Dewey number
518/.63
Index
no index present
LC call number
QA372
Literary form
non fiction
Nature of contents
dictionaries
Series statement
SpringerBriefs in Mathematics
Structured data from the Bibframe namespace is licensed under the Creative Commons Attribution 4.0 International License by University of Liverpool. Additional terms may apply to data associated with third party namespaces.
Processing Feedback ...