Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier Boundary and coupled boundary-finite element methods for transient wave-structure interaction. (English) Zbl 1433.74114 IMA J. Numer. Anal. 37, No. 1, 237-265 (2017). Summary: 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. Cited in 18 Documents MSC: 74S15 Boundary element methods applied to problems in solid mechanics 74S05 Finite element methods applied to problems in solid mechanics 65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 76Q05 Hydro- and aero-acoustics Keywords:time-domain boundary integral equations; convolution quadrature; scattering; linear elasticity; coupling BEM-FEM PDFBibTeX XMLCite \textit{G. C. Hsiao} et al., IMA J. Numer. Anal. 37, No. 1, 237--265 (2017; Zbl 1433.74114) Full Text: DOI arXiv