An implementation detail about the scaling of monomial bases in polytopal finite element methods

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-08-22 DOI:10.1016/j.aml.2024.109281

引用次数: 0

Abstract

The usual definition of scaled monomials found in polytopal finite elements literature leads to elemental matrices with an unnecessarily high condition number. A trivial but apparently overlooked rescaling significantly improves the situation. The extent of the improvement is demonstrated numerically.

查看原文本刊更多论文

多项式有限元方法中单项式基缩放的实施细节

在多拓扑有限元文献中，缩放单项式的通常定义会导致元素矩阵的条件数过高。一个微不足道但显然被忽视的重新缩放可以明显改善这种情况。我们用数值证明了这种改善的程度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.