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.
|Number of pages||2|
|Publication status||Published - 2019|
|Event||International Conference on the Computation of Electromagnetic Fields - Campus Pierre and Marie Curie of Sorbonne University, Paris, France|
Duration: 15 Jul 2019 → 19 Jul 2019
Conference number: 22
|Conference||International Conference on the Computation of Electromagnetic Fields|
|Period||15/07/19 → 19/07/19|