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

by   Todd Dupont, et al.
Brown University
The University of Chicago

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.


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