Discontinuous Galerkin -BEM with quasi-uniform meshes

作者:Heuer Norbert*; Meddahi Salim
来源:Numerische Mathematik, 2013, 125(4): 679-703.
DOI:10.1007/s00211-013-0547-3

摘要

We present and analyze a discontinuous variant of the -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 -version with arbitrary degree and almost quasi-optimal for the -version. Numerical results underline the theory.

  • 出版日期2013-12