原始混合有限元的MATLAB矢量化实现

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2024-12-30 DOI:10.1016/j.camwa.2024.12.017

Harish Nagula Mallesham, Kamana Porwal, Jan Valdman, Sanjib Kumar Acharya

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引用次数: 0

摘要

本文给出了二维空间中具有混合边界条件的线性二阶椭圆型和抛物型问题的最低阶原始混合有限元方法的MATLAB实现。对于抛物型问题的完全离散解，我们采用了后向欧拉格式和Crank-Nicolson有限差分格式。所有的代码都是完全矢量化的，使用矩阵数组操作。通过数值实验验证了该软件的性能。

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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Vectorized implementation of primal hybrid FEM in MATLAB

We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundary conditions in two spatial dimensions. We employ backward Euler and the Crank-Nicolson finite difference scheme for the complete discrete setup of the parabolic problem. All the codes presented are fully vectorized using matrix-wise array operations. Numerical experiments are conducted to show the performance of the software.

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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).