Regularization and finite element approximation of the wave equation with Dirichlet boundary data

Abstract

A numerical method for solving the wave equation with nonhomogenuous, nonsmooth Dirichlet boundary condition is proposed. Convergence of the method is proved and some erràr estimates are derived [L-S-2]. The method is based on the regularization technique [L-1], [L-S-l] of the wave equation with Dirichlet bounàary data. Several numerical results are provided in two dimensional case.