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Numerical Solution of Nonlinear Exterior Wave Problems Using Local Absorbing Boundary Conditions

Igor Patlashenko1, Dan Givoli2

Hummingbird Communications, Toronto, Canada
Department of Aerospace Engineering, Technion, Israel

Computer Modeling in Engineering & Sciences 2000, 1(2), 61-70. https://doi.org/10.3970/cmes.2000.001.221

Abstract

The method of Absorbing Boundary Conditions (ABCs) is considered for the numerical solution of a class of nonlinear exterior wave scattering problems. Recently, a scheme based on the exact nonlocal Dirichlet-to-Neumann (DtN) ABC has been proposed for such problems. Although this method is very accurate, it is also highly expensive computationally. In this paper, the nonlocal ABC is replaced by a low-order local ABC, which is obtained by localizing the DtN condition in a certain "optimal'' way. The performance of the new local scheme is compared to that of the nonlocal scheme via numerical experiments in two dimensions.

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APA Style
Patlashenko, I., Givoli, D. (2000). Numerical solution of nonlinear exterior wave problems using local absorbing boundary conditions. Computer Modeling in Engineering & Sciences, 1(2), 61-70. https://doi.org/10.3970/cmes.2000.001.221
Vancouver Style
Patlashenko I, Givoli D. Numerical solution of nonlinear exterior wave problems using local absorbing boundary conditions. Comput Model Eng Sci. 2000;1(2):61-70 https://doi.org/10.3970/cmes.2000.001.221
IEEE Style
I. Patlashenko and D. Givoli, "Numerical Solution of Nonlinear Exterior Wave Problems Using Local Absorbing Boundary Conditions," Comput. Model. Eng. Sci., vol. 1, no. 2, pp. 61-70. 2000. https://doi.org/10.3970/cmes.2000.001.221



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