Tree gauging in lossy high frequency FEM models

Gergely Koczka, Oszkar Biro

Research output: Contribution to conferencePaperpeer-review


Wave propagation problems involving both high conductivity materials and large non-conducting domains are solved in the frequency domain by the method of finite elements (FEM) using edge basis functions and applying the A,V-formulation. The singular matrix of the resulting algebraic equation system is regularized by tree gauging to facilitate its direct solution. It is shown that choosing a random tree can result in erroneous solutions even if a highly sophisticated sparse parallel direct equation system solver is used. This problem is overcome by generating the tree by a special algorithm taking account of the presence of high conductivity materials. Two numerical examples are investigated: an academic 1D wave propagation problem and a real-word 3D antenna.
Original languageEnglish
Number of pages2
Publication statusPublished - 2019
EventInternational Conference on the Computation of Electromagnetic Fields - Campus Pierre and Marie Curie of Sorbonne University, Paris, France
Duration: 15 Jul 201919 Jul 2019
Conference number: 22


ConferenceInternational Conference on the Computation of Electromagnetic Fields
Abbreviated titleCompumag
Internet address

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