Year: 2009
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 5 : pp. 642–656
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 $\boldsymbol{H}(\rm curl)$-conforming edge elements in space with linearly implicit Rosenbrock methods in time. An embedding technique is applied to get efficiency in time through variable time steps. Finally, we present numerical results for the magnetic recording write head benchmark problem proposed by the Storage Research Consortium in Japan.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.27.5.015
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 5 : pp. 642–656
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Magnetoquasistatics Space-time adaptivity Edge elements Rosenbrock methods Hierarchical error estimator SRC benchmark problem.
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