Journal
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume 134, Issue -, Pages 419-434Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2021.09.029
Keywords
Integral equations; Discrete element method; Surface equivalence principle; Computational electromagnetics
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This paper proposes a numerical approach to handle the singularity and reduce the computational complexity of one of the two quadruple integrals used in the S-PEEC method. The accuracy and computational time have been tested for representative parallel and orthogonal meshes.
Computational electromagnetic problems require evaluating the electric and magnetic fields of the physical object under investigation, divided into elementary cells with a mesh. The partial element equivalent circuit (PEEC) method has recently received attention from academic and industry communities because it provides a circuit representation of the electromagnetic problem. The surface formulation, known as S-PEEC, requires computing quadruple integrals for each mesh patch. Several techniques have been developed to simplify the computational complexity of quadruple integrals but limited to triangular meshes as used in well-known methods such as the Method of Moments (MoM). However, in the S-PEEC method, the mesh can be rectangular and orthogonal, and new approaches must be investigated to simplify the quadruple integrals. This work proposes a numerical approach that treats the singularity and reduces the computational complexity of one of the two quadruple integrals used in the S-PEEC method. The accuracy and computational time are tested for representative parallel and orthogonal meshes.
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