Accessible Requires Authentication Published by De Gruyter December 1, 2003

Stability and convergence of mixed discontinuous finite element methods for second-order differential problems

H. Chen and Z. Chen
From the journal

In this paper we develop an abstract theory for stability and convergence of mixed discontinuous finite element methods for second-order partial differential problems. This theory is then applied to various examples, with an emphasis on different combinations of mixed finite element spaces. Elliptic, parabolic, and convection-dominated diffusion problems are considered. The examples include classical mixed finite element methods in the discontinuous setting, local discontinuous Galerkin methods, and their penalized (stablized) versions. For the convection-dominated diffusion problems, a characteristics-based approach is combined with the mixed discontinuous methods.

Published Online: 2003-12-01
Published in Print: 2003-12-01

Copyright 2003, Walter de Gruyter