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An efficient solution for volume integral equation based on meshfree scheme is proposed. The volume current is represented by a set of shape functions in the method of moments (MoM), where the shape functions are constructed on some distributed nodes without explicitly requiring continuity conditions, so that the basis function in this letter is not reliant on the tessellation and can be used with...
Based on high order hierarchical vector function, the finite-element time-domain (FETD) method combined with tearing and interconnecting (TI) algorithm is presented. This method is efficient for time domain analysis of substrate integrated waveguide (SIW) structures, since the SIW structures have a lot of fine via holes. By means of the high order hierarchical vector function, the accuracy and ability...
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...
In this paper, a new method called fast directional multilevel algorithm is preconditioned by an efficient Calderon multiplicative preconditioner (CMP) for three-dimensional (3-D) electromagnetic problems. The new algorithm does not require the implementation of multipole expansions of the Green's function but based only on kernel evaluations. Combined with the Caldron identities of the CMP, the new...
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