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.
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.
The comparison suggests that FEM-BEM is more accurate than FEM-DBCI but requires more computing time.
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.
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.
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”.
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-10-2012-0263Download as .RIS
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