Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated
Numerical Analysis
2020-01-10 v1 Numerical Analysis
Abstract
We study two techniques for correcting the geometrical error associated with domain approximation by a polygon. The first was introduced some time ago \cite{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.
Cite
@article{arxiv.2001.03082,
title = {Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated},
author = {Todd Dupont and Johnny Guzman and Ridgway Scott},
journal= {arXiv preprint arXiv:2001.03082},
year = {2020}
}
Comments
15 pages