The BEM and FEM/BEM Methods in Computational Electromagnetics

Dear Colleagues,

It is well known that many boundary-value problems can efficiently be solved numerically by means of the finite element method (FEM) and the boundary element method (BEM). The finite element method is very general and flexible. It can be applied to nonlinear problems, and the system of algebraic equations obtained is sparse and often symmetric and positive definite. However, it requires a bounded domain. By contrast, the boundary element method can elegantly deal with unbounded regions. It is more efficient in meshing due to the reduction of dimensions, and the resulting stiffness matrix is smaller but is fully populated, which is an often mentioned drawback. BEM is also restricted to linear problems. Clearly, FEM and BEM are complementary. This is the reason why hybrid FEM/BEM schemes have been developed for many years in order “to get the best of both worlds”. Several FEM/BEM coupling implementations are found in the literature. A distinguishing feature is the BEM procedure employed. Collocation and symmetric Galerkin are the most common approaches.

The aim of this Special Issue is to update the related techniques in the context of computational electromagnetics. Topics of interest include (but are not limited to) numerical methods as well as DC to high-frequency applications. Contributions that involve a review of the state-of-the-art in this area will be welcome.

Prof. Dr. Jacques Lobry
Guest Editor

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