A new ADI-IIM scheme for solving two-dimensional wave equation with discontinuous coefficients

被引：0

作者：

Liu, Ruitao ^{[1
]}

Li, Wanshan ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 11期

基金：

中国国家自然科学基金;

关键词：

alternating direction implicit method; immersed interface method; discontinuous coefficients; second-order accuracy; unconditional stability; IMMERSED INTERFACE METHOD; FINITE-ELEMENT-METHOD; HEAT-EQUATION; FORMULATION; BOUNDARY;

D O I：

10.3934/math.20241503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new alternating direction implicit immersed interface method (ADI-IIM) scheme was developed to solve the two-dimensional wave equation with discontinuous coefficients and sources. The alternating direction implicit (ADI) method was equipped with the immersed interface method (IIM) to recover the accuracy as well as maintaining the stability. Numerical experiments were carried out to verify the unconditional stability and the second-order accuracy both in time and space of the proposed scheme.

引用

页码：31180 / 31197

页数：18

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