Boundary and coupled boundary-finite element methods for transient wave-structure interaction

被引：23
|
作者：
Hsiao, George C. [1 ]
Sanchez-Vizuet, Tonatiuh [1 ]
Sayas, Francisco-Javier [1 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2017年 / 37卷 / 01期
基金：
美国国家科学基金会;
关键词：
time-domain boundary integral equations; convolution quadrature; scattering; linear elasticity; coupling BEM-FEM; FLUID-SOLID INTERACTION; TIME BIE METHOD; CONVOLUTION QUADRATURE; ACOUSTIC SCATTERING; INTEGRAL-EQUATIONS; CALDERON CALCULUS; ALGORITHMS; MULTISTEP; EXTERIOR; BEM;
D O I：
10.1093/imanum/drw009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose time-domain boundary integral and coupled boundary integral and variational formulations for acoustic scattering by linearly elastic obstacles. Well-posedness along with stability and error bounds with explicit time dependence are established. Full discretization is achieved coupling boundary and finite elements; convolution quadrature (CQ) is used for time evolution in the pure boundary integral equation formulation and combined with time stepping in the coupled boundary-finite element method (BEMFEM) scenario. Second-order convergence in time is proved for BDF2-CQ and numerical experiments are provided for both BDF2 and trapezoidal rule CQ showing second-order behaviour for the latter as well.
引用
收藏
页码：237 / 265
页数：29
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