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arXiv · 2407.06158

Local error estimates and post processing for the Galerkin boundary element method on polygons

Thomas Hartmann·Ernst P. Stephan
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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.

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Thomas Hartmann, Ernst P. Stephan. 2024-07-08. Local error estimates and post processing for the Galerkin boundary element method on polygons. https://arxiv.org/abs/2407.06158

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