A posteriori error estimates for a coupled wave system with a local damping
Journal article, 2011

We study a finite element method applied to a system of coupled wave equations in a bounded smooth domain in Rd, d = 1, 2, 3, associated with a locally distributed damping function. We start with a spatially continuous finite element formulation allowing jump discontinuities in time. This approach yields, L2(L2) and L∞(L2), a posteriori error estimates in terms of weighted residuals of the system. The proof of the a posteriori error estimates is based on the strong stability estimates for the corresponding adjoint equations. Optimal convergence rates are derived upon the maximal available regularity of the exact solution and justified through numerical examples.

local damping

a posteriori error analysis

Wave equation

Finite elements

Author

Mohammad Asadzadeh

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Davood Rostamy

Fatemeh Zabihi

Journal of Mathematical Sciences

1072-3374 (ISSN)

Vol. 174 3 21-

Subject Categories

Computational Mathematics

Roots

Basic sciences

More information

Created

10/8/2017