Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated

01/09/2020

∙

by   Todd Dupont, et al.

∙

Brown University

∙

The University of Chicago

∙

0

∙

share

We study two techniques for correcting the geometrical error associated with domain approximation by a polygon. The first was introduced some time ago <cit.> and leads to a nonsymmetric formulation for Poisson's equation. We introduce a new technique that yields a symmetric formulation and has similar performance. We compare both methods on a simple test problem.