A domain decomposition method for the vector wave equation
A domain decomposition method for the vector wave equation
复制标题
DOI：
10.1109/8.855483
复制
发表时间：
2000-05
影响因子：
5.7
通讯作者：
B. Stupfel;M. Mognot
中科院分区：
文献类型：
--
作者：
B. Stupfel;M. Mognot
提出了一种非重叠区域分解法（DDM），用于求解三维非均匀体电磁散射问题的有限元解。计算域被划分成同心子域的共形矢量传输条件的接口上规定的，可以实现在非均匀部分。当在终止FE网格的外边界上利用共形矢量吸收边界条件（ABC）时，采用标准的基于边缘的FE公式，数值实现DDM。然后，数值实验上进行了一个球和一个锥球，强调这种技术的优势，在内存存储和计算时间，特别是当未知数的总数是非常大的。同时，这些数值试验也是对ABC算法性能的一次严格检验。
A nonoverlapping domain decomposition method (DDM) is presented for the finite-element (FE) solution of electromagnetic scattering problems by inhomogeneous three-dimensional (3-D) bodies. The computational domain is partitioned into concentric subdomains on the interfaces of which conformal vector transmission conditions are prescribed and that can be implemented in the inhomogeneous part. The DDM is numerically implemented when a conformal vector absorbing boundary condition (ABC) is utilized on the outer boundary terminating the FE mesh, while employing the standard edge-based FE formulation. Then, numerical experiments are performed on a sphere and a cone sphere that emphasize the advantages of this technique in terms of memory storage and computing times, especially when the total number of unknowns is very large. Also, these numerical experiments serve as a severe test for the performances of the ABC.