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

01/09/2020

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by   Todd Dupont, et al.

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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.