Now showing items 1-5 of 5
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. ...
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 ...
Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems
This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent ...
Rigorous solutions of large-scale dielectric problems with the parallel multilevel fast multipole algorithm
We present fast and accurate solutions of large-scale electromagnetics problems involving three-dimensional homogeneous dielectric objects. Problems are formulated rigorously with the electric and magnetic current ...