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ADAPTIVITY IN SPACE AND TIME FOR MAGNETOQUASISTATICS |
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| Authors: | Markus Clemens Jens Lang Delia Teleaga Georg Wimmer |
| Institution: | [1]Helmut-Schmidt-Universitat Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany [2]Technische Universitat Darmstadt, Schlossgartenstrafle 7, 64289 Darmstadt, Germany |
| Abstract: | This paper addresses fully space-time adaptive magnetic field computations. We describe an adaptive Whitney finite element method for solving the magnetoquasistatic formulation of Maxwell's equations on unstructured 3D tetrahedral grids. Spatial mesh refinement and coarsening are based on hierarchical error estimators especially designed for combining tetrahedral H(curl)-conforming edge elements in space with linearly implicit Rosenbrock methods in time. An embedding technique is applied to get efficiency i... |
| Keywords: | Magnetoquasistatics Space-time adaptivity Edge elements Rosenbrock methods Hierarchical error estimator SRC benchmark problem |
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