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A damping preconditioner for time-harmonic wave equations in fluid and elastic material |
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| Authors: | Tuomas Airaksinen Anssi Pennanen Jari Toivanen |
| Institution: | 1. Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), FI-40014, Finland;2. Institute for Computational and Mathematical Engineering, Building 500, Stanford University, Stanford, CA 94305, USA |
| 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. |
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