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2012-04-12

Convergence Properties of a Diakoptics Method for Electromagnetic Scattering from 3-D Complex Structures

By Vito Lancellotti and Antonius G. Tijhuis
Progress In Electromagnetics Research M, Vol. 24, 127-140, 2012
doi:10.2528/PIERM12030805

Abstract

Linear embedding via Green's operators (LEGO) is a diakoptics method that employs electromagnetic ``bricks'' to formulate problems of wave scattering from complex structures (e.g., penetrable bodies with inclusions). In its latest version the LEGO integral equations are solved through the Method of Moments combined with adaptive generation of Arnoldi basis functions (ABF) to compress the resulting algebraic system. In this paper we review and discuss the convergence properties of the numerical solution in relation to the number of ABFs. Besides, we address the issue of setting the threshold for stopping the generation of ABFs in conjunction with the adaptive Arnoldi algorithm.

Citation


Vito Lancellotti and Antonius G. Tijhuis, "Convergence Properties of a Diakoptics Method for Electromagnetic Scattering from 3-D Complex Structures," Progress In Electromagnetics Research M, Vol. 24, 127-140, 2012.
doi:10.2528/PIERM12030805
http://www.jpier.org/PIERM/pier.php?paper=12030805

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