A comparison between hybrid methods: FEM-BEM versus FEM-DBCI

Giovanni Aiello (Dipartimento di Ingegneria Elettrica, Elettronica e Informatica, Università di Catania, Catania, Italy)
Salvatore Alfonzetti (Dipartimento di Ingegneria Elettrica, Elettronica e Informatica, Università di Catania, Catania, Italy)
Giuseppe Borzì (Dipartimento di Ingegneria Civile, Università di Messina, Messina, Italy)
Santi Agatino Rizzo (Dipartimento di Ingegneria Elettrica, Elettronica e Informatica, Università di Catania, Catania, Italy)
Nunzio Salerno (Dipartimento di Ingegneria Elettrica, Elettronica e Informatica, Università di Catania, Catania, Italy)

Abstract

Purpose

The purpose of this paper is to compare the hybrid FEM-BEM and FEM-DBCI methods for the solution of open-boundary static and quasi-static electromagnetic field problems.

Design/methodology/approach

After a brief review of the two methods (both coupling a differential equation for the interior problem with an integral equation for the exterior one), they are compared in terms of accuracy, memory and computing time requirements by means of a set of simple examples.

Findings

The comparison suggests that FEM-BEM is more accurate than FEM-DBCI but requires more computing time.

Practical implications

Then FEM-DBCI appears more appropriate for applications which require a shorter computing time, for example in the stochastic optimization of electromagnetic devices. Conversely, FEM-BEM is more appropriate in cases in which a high level of precision is required in a single computation.

Originality/value

Note that the FEM-BEM considered in this paper is a non standard one in which the nodes of the normal derivative on the truncation boundary are placed in positions different from those of the potential.

Keywords

Acknowledgements

This work was partially supported by the Italian Ministry of Education, University and Research (MIUR) under the PRIN grant 20097JM7YR: “Detection and electromagnetic signature of hidden objects for transportation hubs and infrastructure security”.

Citation

Aiello, G., Alfonzetti, S., Borzì, G., Agatino Rizzo, S. and Salerno, N. (2013), "A comparison between hybrid methods: FEM-BEM versus FEM-DBCI", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 32 No. 6, pp. 1901-1911. https://doi.org/10.1108/COMPEL-10-2012-0263

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Publisher

:

Emerald Group Publishing Limited

Copyright © 2013, Emerald Group Publishing Limited

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