Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9667172 | Computer Methods in Applied Mechanics and Engineering | 2005 | 12 Pages |
Abstract
In this paper we develop the a posteriori error estimation of mixed discontinuous Galerkin finite element approximations of the Maxwell operator. In particular, by employing suitable Helmholtz decompositions of the error, together with the conservation properties of the underlying method, computable upper bounds on the error, measured in terms of a natural (mesh-dependent) energy norm, are derived. Numerical experiments testing the performance of our a posteriori error bounds for problems with both smooth and singular analytical solutions are presented.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Paul Houston, Ilaria Perugia, Dominik Schötzau,