Numerical solution of scalar wave equation by the modified radial integration boundary element method, Engineering Analysis with Boundary Elements 105, 267-278 (2019)

A radial integration boundary element method is applied to the analysis of two-dimensional scalar wave equation problem. Based on two kinds of fundamental solutions, two types of the integral equation is derived for solution of wave problem. Time domain integrals which are imposed to the solution are implemented using an efficient modified formulation of the radial integration method for concave shapes which was recently introduced in [1]. This boundary only element approach is applied to Newmark and Houbolt time stepping methods. Performance of the implemented formulation is evaluated using several numerical examples.