A posteriori error estimates for a coupled wave system with a local damping

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Finite elements

Wave equation

a posteriori error analysis

local damping

local damping

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)