Abstract
A boundary conformal technique for solving three dimensional electro-quasistatic problems with a high order Discontinuous Galerkin method on Cartesian grids is proposed. The method is based on a cut-cell approach which is applied only on elements intersected by curved material boundaries. A particular numerical quadrature technique is applied which allows for an accurate integration of the finite element operators taking into account the exact geometry of the cut-cells. Two numerical examples are presented which demonstrate the optimal convergence rate of the method for arbitrary geometry.
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Fröhlcke, A., Gjonaj, E., Weiland, T. (2012). A Boundary Conformal DG Approach for Electro-Quasistatics Problems. In: Michielsen, B., Poirier, JR. (eds) Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry(), vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22453-9_17
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DOI: https://doi.org/10.1007/978-3-642-22453-9_17
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