时域声-弹性散射的对称边界积分格式
数值分析
2025-08-19 v4 数值分析
偏微分方程分析
计算物理
摘要
分析了用于时域声-弹性散射的对称边界积分格式。通过直接积分表示法表示声场的散射场和弹性场的激励场， resulting in a coupled system of interior/exterior integral equations that is symmetrized through the introduction of an auxiliary mortar variable. 通过进入拉普拉斯域对每个系统及其Galerkin离散进行分析，这允许使用卷积 quadrature进行时间离散。由于声学和弹性Calderón积分计算的算子彼此独立， formulation is well suited for non-intrusive numerical implementations (i.e. existing codes for acoustic and elastic problems can be used without any modification).
引用
@article{arxiv.2502.04767,
title = {A symmetric boundary integral formulation for time-domain acoustic-elastic scattering},
author = {Tonatiuh Sánchez-Vizuet},
journal= {arXiv preprint arXiv:2502.04767},
year = {2025}
}
备注
Dedicated to Prof. George C. Hsiao, esteemed collaborator and mentor on the occasion of his 90th birthday