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

Autor:	Dupont, Todd, Guzman, Johnny, Scott, Ridgway
Rok vydání:	2020
Předmět:	Mathematics - Numerical Analysis 65N30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.03082 Zobrazit plný text záznamu View this record from Arxiv