Exact integration for singular Zienkiewicz and Guzmán–Neilan finite elements with implementation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-04-28 DOI:10.1016/j.camwa.2025.04.019

Lars Diening , Johannes Storn , Tabea Tscherpel

引用次数: 0

Abstract

We develop a recursive integration formula for a class of rational polynomials in 2D. Based on this, we present implementations of finite elements that have rational basis functions. Specifically, we provide simple MATLAB implementations of the singular Zienkiewicz and the lowest-order Guzmán–Neilan finite element in 2D.

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奇异Zienkiewicz和Guzmán-Neilan有限元的精确积分及其实现

给出了二维空间中一类有理多项式的递推积分公式。在此基础上，提出了具有有理基函数的有限元实现。具体来说，我们提供了二维奇异Zienkiewicz和最低阶Guzmán-Neilan有限元的简单MATLAB实现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).