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A parallel factorization of a sparse multilevel representation of the EFIE impedance matrix is discussed. A nonblocking asynchronous communication protocol is used to transfer data between processors. Numerical examples demonstrate the performance and accuracy of the factorization on a distributed memory parallel cluster.
Multilevel fast multipole algorithm (MLFMA) has been widely used to expedite the iterative solution of the linear systems that arise from discretizing integral equations for electromagnetic applications. However, the slow convergence rate, or non-convergence, of the iterative solver must be improved by either changing the underlying formulation or by using a good preconditioner. In this paper, we...
Local-global solution (LOGOS) modes provide a computationally efficient framework for developing fast, direct solution methods for electromagnetic simulations. LOGOS modes provide a single basis for which both electromagnetic operators and their inverses are sparse with a controllable accuracy. For fixed-frequency modeling with h-refinement, efficient application of this observation is shown to provide...
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