GEOMETRY BASED PRECONDITIONER FOR RADIATION PROBLEMS INVOLVING WIRE AND SURFACE BASIS FUNCTIONS
Author(s) -
M. G. Araújo,
J. M. Bértolo,
F. Obelleiro,
J.L. Rodríguez,
J. M. Taboada,
L. Landesa
Publication year - 2009
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier09042104
Subject(s) - preconditioner , basis (linear algebra) , surface (topology) , basis function , geometry , materials science , mathematics , mathematical analysis , mathematical optimization , iterative method
An innovative preconditioner has been developed in this work. It signiflcantly improves the convergence of the iterative solvers applied to electromagnetic radiation problems by a renormalization of the matrix equation. The preconditioner balances the disparities in terms of magnitude and units caused by the strong self-coupling of the antennas, the non-uniformity of the meshes and also by the coexistence of wire and surface basis functions. It can be easily integrated into difierent electromagnetic solvers with a negligible impact on the computational cost on account of its simple implementation.
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