A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions

Abstract

Wave equations with interface jump conditions have wide applications in engineering and science, for example in acoustics, elastodynamics, seismology, and electromagnetics. In this paper, an efficient non-traditional finite element method with non-body-fitted grids is proposed to solve variable coefficient wave equations with interface jump conditions. Numerical experiments show that this method is approximately second order accurate both in the $L^∞$ norm and $L^2$ norm for piecewise smooth solutions.