TY  - EJOU
AU  - Patlashenko, Igor 
AU  - Givoli, Dan 

TI  - Numerical Solution of Nonlinear Exterior Wave Problems Using Local Absorbing Boundary Conditions
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2000
VL  - 1
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - Exterior problems
KW  -  Absorbing boundary condition
KW  -  Unbounded domain
KW  -  Dirichlet-to-Neumann (DtN)
KW  -  Finite elements

DO  - 10.3970/cmes.2000.001.221