Affiliation:
1. School of Mathematical & Computer Sciences , Maxwell Institute for Mathematical Sciences , Heriot-Watt University , Edinburgh EH14 4AS , United Kingdom
Abstract
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.
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Cited by
4 articles.
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