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Preconditioning iterative MLFMA solutions of integral equations
The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solutions of electromagnetics problems with low complexity. Iterative solvers, however, are not robust for three-dimensional complex ...
An efficient parallel implementation of the multilevel fast multipole algorithm for rigorous solutions of large-scale scattering problems
We present the solution of large-scale scattering problems discretized with hundreds of millions of unknowns. The multilevel fast multipole algorithm (MLFMA) is parallelized using the hierarchical partitioning strategy on ...
Advanced partitioning and communication strategies for the efficient parallelization of the multilevel fast multipole algorithm
Large-scale electromagnetics problems can be solved efficiently with the multilevel fast multipole algorithm (MLFMA) , which reduces the complexity of matrix-vector multiplications required by iterative solvers from O(N ...
Solutions of large-scale electromagnetics problems using an iterative inner-outer scheme with ordinary and approximate multilevel fast multipole algorithms
We present an iterative inner-outer scheme for the efficient solution of large-scale electromagnetics problems involving perfectly-conducting objects formulated with surface integral equations. Problems are solved by ...