Abstract
This chapter concerns in basic aspects of the discontinuous Galerkin method (DGM), which will be treated in an example of a simple problem for the Poisson equation with mixed Dirichlet–Neumann boundary conditions. We introduce the discretization of this problem with the aid of several variants of the DGM. Further, we prove the existence of the approximate solution and derive error estimates. Finally, several numerical examples are presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Dolejší, V., Feistauer, M. (2015). DGM for Elliptic Problems. In: Discontinuous Galerkin Method. Springer Series in Computational Mathematics, vol 48. Springer, Cham. https://doi.org/10.1007/978-3-319-19267-3_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-19267-3_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19266-6
Online ISBN: 978-3-319-19267-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)