ACA accelerated high order BEM for Maxwell problems
ACA accelerated high order BEM for Maxwell problems
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DOI：
10.1007/s00466-012-0731-9
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发表时间：
2013-04
影响因子：
4.1
通讯作者：
S. Rjasanow;L. Weggler
中科院分区：
文献类型：
--
作者：
S. Rjasanow;L. Weggler
讨论了求解麦克斯韦方程组的高阶边界元方法。由于试验和测试空间中的基的分层构造，所得到的系统的矩阵具有特征子矩阵结构。自适应交叉逼近成功地适应和应用于子矩阵和几乎线性的复杂度和内存要求实现。最后用GMRES迭代法求解。数值例子。
The high order Boundary Element Methods for the system of Maxwell equations are discussed. Due to hierarchical construction of the bases in trial and test spaces, the matrix of the resulting system has a characteristic sub-matrix structure. The Adaptive Cross Approximation is successfully adapted and applied to the sub-matrices and almost linear complexity and memory requirements are achieved. The final system is solved by the iterative method GMRES. Numerical examples are presented.