Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated
Abstract
We study two techniques for correcting the geometrical error associated with domain approximation by a polygon. The first was introduced some time ago bramble1972projection 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.
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