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Hierarchical parallelization of the multilevel fast multipole algorithm (MLFMA)
Due to its O(N log N) complexity, the multilevel fast multipole algorithm (MLFMA) is one of the most prized algorithms of computational electromagnetics and certain other disciplines. Various implementations of this algorithm ...
Solution of low-frequency electromagnetics problems using hierarchical matrices
Fast and accurate solutions of low-frequency electromagnetics problems are obtained with an iterative solver based on hierarchical matrices. Iterative solvers require matrix-vector multiplications (MVMs). The results show ...
Reducing MLFMA memory with out-of-core implementation and data-structure parallelization
We present two memory-reduction methods for the parallel multilevel fast multipole algorithm (MLFMA). The first method implements out-of-core techniques and the second method parallelizes the pre-processing data structures. ...