A Quick Tutorial on DG Methods for Elliptic Problems

  • F. Brezzi
  • L. D. Marini
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 157)


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.


Discontinuous Galerkin Elliptic problems Linear elasticity 


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© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Istituto Universitario di Studi Superiori (IUSS)PaviaItaly
  2. 2.Department of MathematicsKing Abulaziz UniversityJeddahSaudi Arabia
  3. 3.Dipartimento di MatematicaUniversità di PaviaPaviaItaly

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