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Published in:
2012 | OriginalPaper | Chapter
A Boundary Conformal DG Approach for Electro-Quasistatics Problems
Authors : A. Fröhlcke, E. Gjonaj, T. Weiland
Published in: Scientific Computing in Electrical Engineering SCEE 2010
Publisher: Springer Berlin Heidelberg
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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.