Energetic BEM-FEM coupling for the numerical solution of the damped wave equation

Abstract

Starting from a recently developed energetic space-time weak formulation for the coupling of boundary integral equations and hyperbolic partial differential equations related to wave propagation problems [1, 2, 3], we consider here an extension for the damped wave equation in layered media. A coupling algorithm is presented, which allows a flexible use of FEM and BEM as local discretization techniques. Stability and convergence have been proved by energy arguments. These properties are crucial in guaranteeing accurate solutions for simulations on large time intervals.