A damping preconditioner for time-harmonic wave equations in fluid and elastic material
Airaksinen, T., Pennanen, A. & Toivanen, J. (2009). A damping preconditioner for time-harmonic wave equations in fluid and elastic material. Journal of Computational Physics, 228 (5), 1466-1479. doi:10.1016/j.jcp.2008.10.036
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.