具有Neumann边界条件的波动方程的自适应时域边界元方法

IF 2.5 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-08-26 DOI:10.1016/j.camwa.2025.08.020

A. Aimi , G. Di Credico , H. Gimperlein , C. Guardasoni

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引用次数: 0

摘要

本文研究了具有诺伊曼边界条件的时域波动方程的自适应网格细化程序，该方程被表述为等效超奇异边界积分方程。基于残差型可靠的后验误差估计，提出了时空边界元法的空间自适应和时间自适应两种版本。数值实验验证了该方法的有效性。

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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Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions

This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary integral equation. Space-adaptive and time-adaptive versions of a space-time boundary element method are presented, based on a reliable a posteriori error estimate of residual type. Numerical experiments illustrate the performance of the proposed approach.

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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).