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In this work, we present an efficient parallel implementation of the fast multipole method (FMM) combined with the fast Fourier transform (FFT). The good scaling propensity of the FMM-FFT, combined with a careful parallelization strategy, has shown to be very effective when using large parallel high performance supercomputers. A challenging problem with more than 0.5 billion unknowns has been solved...
The novel singularity cancellation technique proposed by Khayat and Wilton has been adapted for computing the potential integrals involving the 3D Green's function and the linearly phased Rao-Wilton-Glisson (LP-RWG) basis functions. The proposed procedure is valid for singularities and "near"-singularities on arbitrarily-shaped triangular meshes, thus extending the reliability of the solutions...
In this work a new matrix compression algorithm to improve the efficiency of the fast multipole method (FMM) is presented. The method is based on the application of the singular value decomposition (SVD) to the plane wave FMM aggregation matrices. These matrices are low-ranked, which is exploited to provide alternative sets of orthonormal singular basis functions. By choosing only the most relevant...
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