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In this contribution, we explore the application of the recently proposed nested equivalence source approximation method to the MFIE operator. We find the radial direction of the equivalence source should be removed to obtain better precision. The impedance matrix approximation precision is tested in detail. Error-controllable approximation of the MFIE operator is the key to extend the NESA to homogenous...
A domain decomposition method based on equivalence principle algorithm is used for analyzing and calculating radiation problems of large-scale arrays. The adaptive cross approximation method is introduced to accelerate computing the translate operator, and the repeatability of the array is removed. Numerical results demonstrate that the time consumption and the memory usage are all reduced.
We introduce a kernel-independent wideband nested equivalent source approximation method. The nested equivalent source approximation (NESA), proposed by these authors to solve low frequency problems with linear complexity, is extended here to electrically large multiscale structures. The low frequency algorithm is directly employed at the bottom levels of an Octree clustering; in the high frequency...
Wepresent a new developed rank based method, namely the Wideband Nested Equivalent Source Approximation (WNESA) method for multiscale problems. The low rank approximation of WNESA is constructed after introducing equivalent vector source distributions on properly defined equivalence surfaces enclosing the coupling groups. The equivalent vector sources are determined by an inverse-source process that...
An efficient direct method based on hierarchical matrices (H-matrices) was developed for the solution of large sparse finite element systems. H-matrix technique provides a data-sparse way to approximate the inverse of a finite element matrix which is dense originally. The approximate inverse can be computed and stored in the algebra of hierarchical matrices with almost linear complexity. The accuracy...
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