A damping preconditioner for time-harmonic wave equations in fluid and elastic material

Authors:
Tuomas Airaksinen;Anssi Pennanen;Jari Toivanen
Affiliations:
Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), FI-40014, Finland;Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), FI-40014, Finland;Institute for Computational and Mathematical Engineering, Building 500, Stanford University, Stanford, CA 94305, USA
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

A physical damping is considered as a preconditioning technique for acoustic and elastic wave scattering. The earlier preconditioners for the Helmholtz equation are generalized for elastic materials and three-dimensional domains. An algebraic multigrid method is used in approximating the inverse of damped operators. Several numerical experiments demonstrate the behavior of the method in complicated two-dimensional and three-dimensional domains.