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

A damping preconditioner for time-harmonic wave equations in fluid and elastic material
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流体和弹性材料中时谐波动方程的阻尼预调节器

DOI:
10.1016/j.jcp.2008.10.036
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发表时间:
2009
期刊:
J. Comput. Phys.
影响因子:
--
通讯作者:
J. Toivanen
J. Toivanen
中科院分区:
--
文献类型:
--
作者:
Tuomas Airaksinen;A. Pennanen;J. Toivanen

文献摘要

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物理阻尼被认为是声波和弹性波散射的一种预条件技术。将早期Helmholtz方程的预条件推广到弹性材料和三维域。用代数多重网格法逼近阻尼型算子的逆。几个数值实验证明了该方法在复杂的二维和三维域中的行为。
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.