Title :
GMRES Solution of FEM-BEM Global Systems for Electrostatic Problems Without Voltaged Conductors
Author :
Aiello, Giovanni ; Alfonzetti, S. ; Borzi, Giuseppe ; Dilettoso, Emanuele ; Salerno, Nunzio
Author_Institution :
Dipt. di Ing. Elettr., Elettron. e Inf., Univ. di Catania, Catania, Italy
Abstract :
This paper extends an iterative method to efficiently solve the global algebraic system of equations obtained by applying the hybrid FEM-BEM method to cases in which the field is due to charge distributions only, that is, when conductors with assigned potential (Dirichlet conditions) are not present. In the proposed approach, a conjugate gradient solver is used to solve the singular FEM equations, whereas the BEM equations are modified by means of the Gauss law.
Keywords :
algebra; boundary-elements methods; conjugate gradient methods; electrostatics; finite element analysis; BEM equations; FEM-BEM global systems; GMRES solution; Gauss law; charge distribution; conjugate gradient solver; electrostatic problem; generalized minimal residual solver; global algebraic system; hybrid FEM-BEM method; iterative method; singular FEM equations; Electrostatics; finite element methods; integral equations;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2013.2242053
