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2014 | OriginalPaper | Chapter

A Quick Tutorial on DG Methods for Elliptic Problems

Authors : F. Brezzi, L. D. Marini

Published in: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

Publisher: Springer International Publishing

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Abstract

In this paper we recall a few basic definitions and results concerning the use of DG methods for elliptic problems. As examples we consider the Poisson problem and the linear elasticity problem. A hint on the nearly incompressible case is given, just to show one of the possible advantages of DG methods over continuous ones. At the end of the paper we recall some physical principles for linear elasticity problems, just to open the door towards possible new developments.

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next chapter Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments
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Metadata
Title
A Quick Tutorial on DG Methods for Elliptic Problems
Authors
F. Brezzi
L. D. Marini
Copyright Year
2014
Book
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

Print ISBN: 978-3-319-01817-1

Electronic ISBN: 978-3-319-01818-8

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-01818-8_1

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