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

Airaksinen T; Pennanen A; Toivanen J

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

机译：流体和弹性材料中用于时间谐波方程的阻尼预处理器

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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. (c) 2008 Elsevier Inc. All rights reserved.

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《Journal of Computational Physics》 |2009年第5期|共14页
作者
Airaksinen T; Pennanen A; Toivanen J;
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正文语种 eng
中图分类应用物理学;
关键词
Helmholtz equation; Navier equation; Algebraic multigrid method; GMRES; Preconditioning; Finite element method; DOMAIN DECOMPOSITION METHOD; NONSYMMETRIC LINEAR-SYSTEMS; HELMHOLTZ-EQUATION; ACOUSTIC SCATTERING; ITERATIVE SOLUTION; SHIFTED-LAPLACIAN; LAYERED MEDIA; SOLVER; CONTROLLABILITY; PROPAGATION;

机译：Helmholtz方程;Navier方程;代数多重网格法;GMRES;预处理;有限元法;域分解法;非对称线性系统;Helhmoltz方程;声散射;迭代解;Shipped-Laplacian;分层介质;求解器;控制;

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1. A damping preconditioner for time-harmonic wave equations in fluid and elastic material [J] . Airaksinen T, Pennanen A, Toivanen J Journal of Computational Physics . 2009,第5期

机译：流体和弹性材料中用于时间谐波方程的阻尼预处理器
2. Multigrid-based 'shifted-Laplacian' preconditioning for the time-harmonic elastic wave equation [J] . Rizzuti G., Mulder W. A. Journal of Computational Physics . 2016,第Null期

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3. Dynamic stress intensity factors of two 3D rectangular permeable cracks in a transversely isotropic piezoelectric material under a time-harmonic elastic P-wave [J] . Liu Hai-Tao, Zhou Zhen-Gong International Journal for Numerical Methods in Engineering . 2016,第1期

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5. APPLICATION OF MIXTURE THEORY TO FLUIDIZED BEDS (CONSTITUTIVE EQUATIONS, GRANULAR MATERIALS, FRAME-INDIFFERENCE, LINEARLY VISCOUS FLUID) [D] . MASSOUDI, MEHRDAD 1986

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7. A damping preconditioner for time-harmonic wave equations in fluid and elastic material [O] . Airaksinen, Tuomas, Pennanen, Anssi, Toivanen, Jari 2011

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8. Fundamental Theory of Elastic Wave Scattering by Defects in Elastic Materials: Integral Equation Methods for Application to Ultrasonic Flaw Detection [R] . Gubernatis, J. E., Domany, E., Krumhansl, J. A., 1976

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

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