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 language | English |
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Pages (from-to) | 757-773 |
Number of pages | 17 |
Journal | Computational Methods in Applied Mathematics |
Volume | 22 |
Issue number | 4 |
Early online date | 26 Mar 2022 |
DOIs | |
Publication status | Published - 1 Oct 2022 |
Keywords
- BEM-FEM Coupling
- Transient Wave Equation
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics