Discontinuous Galerkin hp-BEM with quasi-uniform meshes
Numerical Analysis
2012-06-28 v1
Abstract
We present and analyze a discontinuous variant of the hp-version of the boundary element Galerkin method with quasi-uniform meshes. The model problem is that of the hypersingular integral operator on an (open or closed) polyhedral surface. We prove a quasi-optimal error estimate and conclude convergence orders which are quasi-optimal for the h-version with arbitrary degree and almost quasi-optimal for the p-version. Numerical results underline the theory.
Keywords
Cite
@article{arxiv.1206.6351,
title = {Discontinuous Galerkin hp-BEM with quasi-uniform meshes},
author = {Norbert Heuer and Salim Meddahi},
journal= {arXiv preprint arXiv:1206.6351},
year = {2012}
}
Comments
25 pages