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Fast electromagnetic simulation algorithm based on hierarchical and curvilinear finite elements
Author(s) -
Ping X. W.,
Zhou X. Y.,
Yu W. M.,
Cui T. J.
Publication year - 2011
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.25714
Subject(s) - curvilinear coordinates , finite element method , cholesky decomposition , solver , algorithm , computer science , computational electromagnetics , microwave , mathematics , computational science , mathematical optimization , engineering , electromagnetic field , geometry , physics , structural engineering , telecommunications , eigenvalues and eigenvectors , quantum mechanics
In this article, hierarchical finite element method (FEM) based on curvilinear elements is used to study three‐dimensional (3D) electromagnetic problems. The incomplete Cholesky preconditioned loose generalized minimal residual solver (LGMRES) based on decomposition algorithm (DA) is applied to solve the FEM equations. The efficiency of the proposed approach is studied on several numerical problems. Numerical results demonstrate that the DA‐based LGMRES is especially effective when the hierarchical FEM is used to solve 3D electromagnetic problems. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:324–331, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.25714