An Iterative Solution to FEM-BEM Algebraic Systems for Open-Boundary Electrostatic Problems

Author

Aiello, G. ; Alfonzetti, S. ; Dilettoso, E. ; Salerno, N.

Author_Institution

Dipt. di Ingegneria Elettrica, Elettronica e dei Sistemi, Catania Univ.

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1249

Lastpage

1252

Abstract

This paper describes an iterative method to solve efficiently the global algebraic system of equations obtained by applying the hybrid finite element method-boundary element method (FEM-BEM) to the solution of open-boundary electrostatic problems. In the proposed approach, a conjugate gradient (CG) solver is used to solve the FEM equations, whereas the BEM equations are solved by making use of the direct LU solver. To do so, it is convenient to implement the BEM equations in a nonconventional way, by choosing the nodes of the potential as not coinciding with those of its normal derivative

Keywords

boundary-elements methods; electrostatics; finite element analysis; iterative methods; FEM-BEM algebraic systems; boundary element method; conjugate gradient solver; hybrid finite element method; iterative solution; open-boundary electrostatic problems; Character generation; Conductors; Dielectrics; Electromagnetic fields; Electrostatics; Finite element methods; Integral equations; Iterative methods; Poisson equations; Voltage; Boundary element method (BEM); electrostatic field; finite element method (FEM); integral equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.892313

Filename

4137656