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

FEM-BEM Iterative Solution of Electrostatic Problems with Floating Potential Conductors

AIELLO, Giovanni;ALFONZETTI, Salvatore;SALERNO, Nunzio
2016

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
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/17453
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