FEM-BEM iterative solution of electrostatic problems with floating potential conductors

FEM-BEM iterative solution of electrostatic problems with floating potential conductors

Giovanni Aiello
Salvatore Alfonzetti
Nunzio Salerno

Dipartimento di Ingegneria Elettrica, Elettronica e Informatica (DIEEI) Università di Catania Viale A. Doria, 6 , 95125 Catania, Italy

Corresponding Author Email: 
199-214
Page: 
199-214
|
DOI: 
https://doi.org/10.3166/EJEE.18.199-214
Received: 
30 July 2015
|
Accepted: 
1 April 2016
|
Published: 
31 August 2016
| Citation

OPEN ACCESS

Abstract: 

This paper describes two iterative procedures to solve efficiently the global algebraic systems of equations obtained by applying the hybrid FEM-BEM method to the solution of open-boundary electrostatic problems in the presence of floating potential conductors. In both methods, non-standard boundary elements are used. In the first procedure the conjugate gradient solver is used to solve the FEM equations, whereas the BEM equations are solved by the direct LU solver. In the second method, the GMRES solver is applied to a reduced system virtually available, in which the unknowns are the values of the normal derivatives of the electric potential on the truncation boundary. The proposed methods are also applicable to other kind of electromagnetic problems such as magnetostatic and static current density problems.

Keywords: 

finite element method, Boundary element method, hybrid methods, iterative solutions, GMRES, floating potentials.

1. Introduction
2. FEM-BEM formulation
3. Solution of the global system
4. Conclusions
Acknowledgements

This paper has been supported by MIUR, the Italian Ministry for University and Research.

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