Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter November 15, 2010

Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems

  • G. Kanschat and R. Rannacher

Abstract

A local a priori and a posteriori analysis is developed for the Galerkin method with discontinuous finite elements for solving stationary diffusion problems. The main results are an optimalorder estimate for the point-wise error and a corresponding a posteriori error bound. The proofs are based on weighted L2-norm error estimates for discrete Green functions as already known for the ‘continuous’ finite element method.

Received: 2002-08-22
Published Online: 2010-11-15
Published in Print: 2002-December

© VSP 2002

Downloaded on 29.3.2024 from https://www.degruyter.com/document/doi/10.1515/JNMA.2002.249/html
Scroll to top button