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

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