在边界元法中加快矩阵组装的新策略

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2024-10-10 DOI:10.1016/j.camwa.2024.10.001

Lucas Silveira Campos, Carlos Friedrich Loeffler

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引用次数: 0

摘要

本研究介绍了一种新的建模方法，它能更高效地构建由边界元法离散积分方程产生的矩阵系统。该方法采用了直接插值技术中使用的矩阵结构，在保持精确结果的同时提高了计算效率，并确保了网格细化过程中的收敛性。为了证明这种新型数值技术的有效性，我们将其用于解决由拉普拉斯方程控制的二维问题。

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A new strategy for a faster matrix assembly in the boundary element method

This study introduces a new modelling approach that leads to a more efficient process for constructing the matrix system arising from the discretization of integral equations by the boundary element method. This method uses the matrix structure employed in the direct interpolation technique, yielding computational efficiency while maintaining precise outcomes and ensuring convergence as the mesh is refined. To demonstrate the effectiveness of this novel numerical technique, it is applied to solve two-dimensional problems governed by the Laplace equation.

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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).