Negative norm estimates for fully discrete finite element approximations to the wave equation with nonhomogeneous l² dirichlet boundary data

Authors

L. Bales, Cornell University
I. Lasiecka, University of Virginia

Abstract

This paper treats time and space finite element approximations of the solution to the nonhomogeneous wave equation with L2 boundary terms and smooth right-hand side. For the case of ¿2 boundary data, the rates of convergence in negative norms are derived. In the case of smooth forcing term and zero boundary data, optimal rates of convergence in "positive" norms are provided. © 1995 American Mathematical Society.

Publication Title

Mathematics of Computation

Recommended Citation

Bales, L., & Lasiecka, I. (1995). Negative norm estimates for fully discrete finite element approximations to the wave equation with nonhomogeneous l² dirichlet boundary data. Mathematics of Computation, 64 (209), 89-115. https://doi.org/10.1090/S0025-5718-1995-1262280-9