Numerical accuracy of a Padé‐type non‐reflecting boundary condition for the finite element solution of acoustic scattering problems at high‐frequency
Numerical accuracy of a Padé‐type non‐reflecting boundary condition for the finite element solution of acoustic scattering problems at high‐frequency
复制标题
高频声散射问题有限元求解Padé型非反射边界条件的数值精度
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
A. Soulaïmani
中科院分区：
文献类型：
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作者：
R. Kechroud;X. Antoine;A. Soulaïmani
本文利用一种新的高阶渐近pad<s:1>型人工边界条件，研究了二维高频声散射问题的数值解。在任意凸形边界的伽辽金最小二乘（迭代）有限元求解器中，pad<s:1>型条件很容易实现。对不同模型问题和潜艇形散射体散射问题的精度进行了研究。因此，可以考虑相对较小的计算域，根据散射体的形状进行优化，同时对高频进行精确计算。版权所有©2005 John Wiley & Sons， Ltd
The present text deals with the numerical solution of two‐dimensional high‐frequency acoustic scattering problems using a new high‐order and asymptotic Padé‐type artificial boundary condition. The Padé‐type condition is easy‐to‐implement in a Galerkin least‐squares (iterative) finite element solver for arbitrarily convex‐shaped boundaries. The method accuracy is investigated for different model problems and for the scattering problem by a submarine‐shaped scatterer. As a result, relatively small computational domains, optimized according to the shape of the scatterer, can be considered while yielding accurate computations for high‐frequencies. Copyright © 2005 John Wiley & Sons, Ltd.