Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems

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2011-08-13
Gürel, Levent
Ergül, Özgür Salih
Fast and accurate solutions of extremely large electromagnetics problems are considered. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to the recent developments in parallel algorithms and high-performance computers, these problems can easily be solved with unprecedented levels of accuracy and detail. For example, using a parallel implementation of the multilevel fast multipole algorithm (MLFMA), we are able to solve electromagnetics problems discretized with hundreds of millions of unknowns. Unfortunately, as the problem size grows, it becomes difficult to assess the accuracy and efficiency of the solutions, especially for the comparison of different implementations. This paper presents our efforts on the solution of extremely large electromagnetics problems with the emphasis on the accuracy and efficiency. We present a list of benchmark problems, which can be used

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Citation Formats
L. Gürel and Ö. S. Ergül, “Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems,” 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42933.