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A FEM-Green Approach for Magnetic Field Problems with Open Boundaries

Author

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  • Jacques Lobry

    (Department of General Physics, Faculty of Engineering, University of Mons, B-7000 Mons, Belgium)

Abstract

A new finite element method/boundary element method (FEM/BEM) scheme is proposed for the solution of the 2D magnetic static and quasi-static problems with unbounded domains. The novelty is an original approach in the treatment of the outer region. The related domain integral is eliminated at the discrete level by using the finite element approximation of the fundamental solutions (Green’s functions) at every node of the related mesh. This “FEM-Green” approach replaces the standard boundary element method. It is simpler to implement because no integration on the boundary of the domain is required. Then, the method leads to a substantially reduced computational burden. Moreover, the coupling with finite elements is more natural since it is based on the same Galerkin approximation. Some examples with open boundary and nonlinear materials are presented and compared with the standard finite element method.

Suggested Citation

  • Jacques Lobry, 2021. "A FEM-Green Approach for Magnetic Field Problems with Open Boundaries," Mathematics, MDPI, vol. 9(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1662-:d:594698
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    Cited by:

    1. Mohamad Hosein Rasekhmanesh & Gines Garcia-Contreras & Juan Córcoles & Jorge A. Ruiz-Cruz, 2022. "On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections," Mathematics, MDPI, vol. 10(4), pages 1-15, February.

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