Abstract
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 (BEM-FEM) 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.
Original language | English (US) |
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Pages (from-to) | 237-265 |
Number of pages | 29 |
Journal | IMA Journal of Numerical Analysis |
Volume | 37 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2017 |
Externally published | Yes |
Keywords
- convolution quadrature
- coupling BEM-FEM
- linear elasticity
- scattering
- time-domain boundary integral equations
ASJC Scopus subject areas
- General Mathematics
- Computational Mathematics
- Applied Mathematics