Abstract
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 language | English |
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| Number of pages | 2 |
| Publication status | Published - 2019 |
| Event | 22nd International Conference on the Computation of Electromagnetic Fields: COMPUMAG 2019 - Campus Pierre and Marie Curie of Sorbonne University, Paris, France Duration: 15 Jul 2019 → 19 Jul 2019 Conference number: 22 https://www.compumag2019.com/ http://www.compumag.org/ |
Conference
| Conference | 22nd International Conference on the Computation of Electromagnetic Fields |
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| Abbreviated title | Compumag |
| Country/Territory | France |
| City | Paris |
| Period | 15/07/19 → 19/07/19 |
| Internet address |