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

George C. Hsiao, Tonatiuh Sánchez-Vizuet, Francisco Javier Sayas

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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 languageEnglish (US)
Pages (from-to)237-265
Number of pages29
JournalIMA Journal of Numerical Analysis
Issue number1
StatePublished - Jan 1 2017
Externally publishedYes


  • convolution quadrature
  • coupling BEM-FEM
  • linear elasticity
  • scattering
  • time-domain boundary integral equations

ASJC Scopus subject areas

  • Mathematics(all)
  • Computational Mathematics
  • Applied Mathematics


Dive into the research topics of 'Boundary and coupled boundary-finite element methods for transient wave-structure interaction'. Together they form a unique fingerprint.

Cite this