Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation

Lehel Banjai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
31 Downloads (Pure)

Abstract

Acoustic scattering of waves by bounded inhomogeneities in an unbounded homogeneous domain is considered. A symmetric coupled system of time-domain boundary integral equations and the second order formulation of the wave equation is described. A fully discrete system consists of spatial discretization by boundary and finite element methods (BEM/FEM), leapfrog time-stepping in the interior, and convolution quadrature for the boundary integral equations. Convolution quadrature is based on BDF2, trapezoidal rule, or a newly introduced truncated trapezoidal rule that has some favourable properties for both the implementation and quality of approximate solution. We give a stability and convergence analysis under a CFL condition of the fully discrete system. The theoretical results are illustrated by numerical experiments in two dimensions.

Original languageEnglish
Pages (from-to)757-773
Number of pages17
JournalComputational Methods in Applied Mathematics
Volume22
Issue number4
Early online date26 Mar 2022
DOIs
Publication statusPublished - 1 Oct 2022

Keywords

  • BEM-FEM Coupling
  • Transient Wave Equation

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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