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Conventional fast multipole algorithm is one of the most widely used integral equation method for its high efficiency. Unfortunately, it always come across a problem named subwavelength breakdown when the finest group size is smaller than 0.2 wavelength. In this article, singular value decomposition method is used to modify the translation operator of fast multipole algorithm. The finest group size...
In this paper, a novel solution to marching-on-in-order (MOO) time-domain integral equations (TDIE) are introduced using order-independent temporal (OIT) basis functions to analyze transient electromagnetic scattering from perfect electrically conducting (PEC) structures. The OIT basis function is based on the Laguerre polynomials and generated via a singular value decomposition (SVD). It can considerably...
The multilevel fast multipole algorithm (MLFMA) is very efficient for solving the three-dimensional problems, but for the small size of the complex objects, the memory usage of the multilevel fast multipole algorithm is very large. To overcome this problem, the matrix decomposition algorithm - singular value decomposition (MDA-SVD) is used to alleviate the pressure of the “strong” interaction portion...
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