Local error estimates and post processing for the Galerkin boundary element method on polygons
Numerical Analysis
2024-07-09 v1 Numerical Analysis
Analysis of PDEs
Abstract
In this paper we give local error estimates in Sobolev norms for the Galerkin method applied to strongly elliptic pseudodifferential equations on a polygon. By using the K-operator, an operator which averages the values of the Galerkin solution, we construct improved approximations.
Keywords
Cite
@article{arxiv.2407.06158,
title = {Local error estimates and post processing for the Galerkin boundary element method on polygons},
author = {Thomas Hartmann and Ernst P. Stephan},
journal= {arXiv preprint arXiv:2407.06158},
year = {2024}
}
Comments
Dedicated to Prof. George C. Hsiao on the occasion of his 90th birthday