论文标题

当边界是多边形近似时,获得高阶盖金精度

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

论文作者

Dupont, Todd, Guzman, Johnny, Scott, Ridgway

论文摘要

我们研究了两种技术,用于纠正多边形与域近似相关的几何误差。第一个是在一段时间前引入的\ cite {Bramble1972Procottion},并导致用于Poisson方程的非对称配方。我们引入了一种新技术,该技术产生了对称配方并具有相似的性能。我们在简单的测试问题上比较了这两种方法。

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.

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