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This paper proposes a multigrid preconditioner for integral equation fast analysis of electromagnetic scattering problems. The multigrid model is constructed by recursively dividing every triangular element on the coarse level into 4 small ones. The Rao–Wilton–Glisson (RWG) basis functions defined on the coarse level are expressed with linear combinations of those on the fine level, and the expansion...
A spectral multiresolution (MR) preconditioner combined with Sparse-Matrix/Canonical Grid Method (SMCG) is developed for fast analysis of microstrip circuits structures. The SMCG is used to speed up the matrix-vector product operations. The spectral MR preconditioner combined with a diagonal preconditioning is employed to achieve the fast convergence rate by augmenting to the generalized minimal residual...
In this paper, an improved SAI preconditioner is proposed to efficiently solve the EFIE system based on a new set of higher order hierarchical basis functions, which is accelerated by MLFMM. Numerical experiments with a few electromagnetic scattering problems for open structures are given to show the validity and efficiency of the proposed SAI preconditioner.
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