FOSLL∗ Method for the Eddy Current Problem with Three-Dimensional Edge Singularities

In the case that the domain has reentrant edges, the standard finite element method loses its global accuracy because of singularities on the boundary. To overcome this difficulty, FOSLLa is applied in this paper. FOSLLa is a methodology for solving PDEs using the dual operator. Here, a modified FOSLLa method is developed that employs a partially weighted functional and allows the use of a standard finite element scheme without losing global accuracy.

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