SpringerBriefs in Mathematics

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

Authors: Cangiani, A., Dong, Z., Georgoulis, E.H., Houston, P.

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  • 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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eBook £39.99
price for United Kingdom (gross)
  • ISBN 978-3-319-67673-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover £49.99
price for United Kingdom (gross)
  • ISBN 978-3-319-67671-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

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.  

Reviews


“This book should be very useful to Ph.D students and researchers who are eager to explore and understand the mathematical analysis of DGFEMs on polytopic meshes for second-order elliptic equations. The presentation is lucid and the book provides an extensive list of references in the area.” (Neela Nataraj, Mathematical Reviews, October, 2018)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook £39.99
price for United Kingdom (gross)
  • ISBN 978-3-319-67673-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover £49.99
price for United Kingdom (gross)
  • ISBN 978-3-319-67671-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-67673-9
DOI
10.1007/978-3-319-67673-9
Softcover ISBN
978-3-319-67671-5
Series ISSN
2191-8198
Edition Number
1
Number of Pages
VIII, 131
Number of Illustrations
31 b/w illustrations, 1 illustrations in colour
Topics