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  • 1.
    De Lauretis, Maria
    et al.
    Embedded Internet Systems Lab, Luleå University of Technology, Luleå, Sweden.
    Haller, Elena
    Halmstad University, School of Information Technology, Halmstad Embedded and Intelligent Systems Research (EIS).
    Di Murro, Francesca
    Department of Industrial and Information Engineering and Economics, University of L’Aquila, Abruzzo, Italy.
    Romano, Daniele
    Department of Industrial and Information Engineering and Economics, University of L’Aquila, Abruzzo, Italy.
    Antonini, Giulio
    Department of Industrial and Information Engineering and Economics, University of L’Aquila, Abruzzo, Italy.
    Ekman, Jonas
    Embedded Internet Systems Lab, Luleå University of Technology, Luleå, Sweden.
    Kovačević-Badstübner, Ivana
    Advanced Power Semiconductor Laboratory, ETH Zürich, Zürich, Switzerland.
    Grossner, Ulrike
    Advanced Power Semiconductor Laboratory, ETH Zürich, Zürich, Switzerland.
    On the rectangular mesh and the decomposition of a Green's-function-based quadruple integral into elementary integrals2022In: Engineering analysis with boundary elements, ISSN 0955-7997, E-ISSN 1873-197X, Vol. 134, p. 419-434Article in journal (Refereed)
    Abstract [en]

    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. © 2021 The Authors

  • 2.
    De Lauretis, Maria
    et al.
    Luleå University of Technology, Luleå, Sweden.
    Haller, Elena
    Halmstad University, School of Information Technology.
    Romano, Daniele
    University of L'Aquila, L'Aquila, Italy.
    Antonini, Giulio
    University of L'Aquila, L'Aquila, Italy.
    Ekman, Jonas
    Luleå University of Technology, Luleå, Sweden.
    Kovačević-Badstübner, Ivana
    ETH Zürich, Zürich, Switzerland.
    Grossner, Ulrike
    ETH Zürich, Zürich, Switzerland.
    On the Decoupling of Integrals in the Surface PEEC Method2022In: 2022 International Symposium on Electromagnetic Compatibility – EMC Europe, Danvers: IEEE, 2022, p. 355-360Conference paper (Refereed)
    Abstract [en]

    Electromagnetic problems can be solved by using the integral form of Maxwell equations. The Surface Partial Element Equivalent Circuit (S-PEEC) method is an integral equation-based method that is suitable when high-frequency effects, such as skin and proximity effect, are dominant. However, the computation of interaction quadruple integrals is computationally expensive and numerically unstable due to singularities. In previous work, we proved how to decouple one of the quadruple integrals, and showed the gaining in stability and computational time. In this work, we extend the result to the second integral with the curl of the Green's function. Numerical examples prove the acceleration in terms of computational time achieved with the proposed approach. Future work will focus on integration strategy and further optimization of the proposed algorithm. © 2022 IEEE.

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