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A fast direct finite element solver for large-scale 3-D electromagnetic analysis

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2 Author(s)
Bangda Zhou ; Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA ; Dan Jiao

A fast direct solver is developed for the vector finite element based analysis of general 3-D electromagnetic problems. In this solver, we fully take advantage of the sparsity in the original matrix of size N and the reduced fill-ins due to nested dissection ordering. We also organize the overall factorization into a sequence of partial factorizations of dense smaller matrices by the multifrontal algorithm. We then accelerate the computation of all the intermediate dense matrices by ℌ-matrix based fast arithmetic. The computational complexity of the proposed solver is theoretically analyzed and shown to be O(N) in both time and storage for problems with a relatively small electric size. The solver's controlled accuracy is also proved. Numerical experiments demonstrate that the proposed solver outperforms both the state-of-the-art multifrontal solver and the ℌ-based direct solver for 3-D electromagnetic analysis.

Published in:

Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE

Date of Conference:

8-14 July 2012