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Broadband and Sparse Finite-Element Formulation Free of Low-Frequency Breakdown

机译:无低频故障的宽带和稀疏有限元公式

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in an arbitrary mesh. Both of Co and C h are found to be sparse. For problems involving loss, we further decompose Co into two subspaces, each of which is also analytically identified. One subspace is the nullspace of the transformed submatrix characterizing the loss, and the other is its complementary space. The FE system matrix transformed onto the new space is free of low-frequency breakdown for both lossless and general lossy problems, where dielectrics and conductors can be lossy and arbitrarily inhomogeneous. Furthermore, the new FE system of equations is sparse, and well-conditioned, thus facilitating efficient computation. Numerical results have validated the proposed formulation.
机译:在任意网格中。发现Co和C h都稀疏。对于涉及损失的问题,我们将Co进一步分解为两个子空间,每个子空间也可以通过分析确定。一个子空间是变换后的子矩阵表征损失的零空间,另一个子空间是其互补空间。转换到新空间中的有限元系统矩阵不会因无损和一般有损问题而发生低频击穿,在这些问题中,电介质和导体可能有损且任意不均匀。此外,新的有限元方程组稀疏且条件良好,从而有助于高效计算。数值结果验证了所提出的公式。

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