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

I. Lasiecka, J. Sokołowski, P. Neittaanmäki
1990 Banach Center Publications  
A numerical method for solving the wave equation with nonhomogenuous, nonsmooth Dirichlet boundary condition is proposed. Convergence of the method is proved and some error estimates are derived [L-S-2]. The method is based on the regularization technique [L-1], [L-S-1] of the wave equation with Dirichlet boundary data. Several numerical results are provided in two dimensional case.
doi:10.4064/-24-1-329-354 fatcat:7rjqf7qhmjc3pgycx4cq5e3n5a