涡流问题中fem-bem耦合的p -层次误差估计

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2013-09-25 DOI:10.12941/JKSIAM.2013.17.139

Florian Leydecker, M. Maischak, E. Stephan, Matthias T. Teltscher

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引用次数: 0

摘要

将[1]给出的三维四面体网格的Nedelec二阶有限元空间的p阶分解推广到六面体网格，并推导出二维三角形和四边形网格的Raviart-Thomas二阶有限元空间的p阶分解。在证明了这些子空间分解的稳定性并要求一定的饱和假设成立之后，我们构造了r3中时谐电磁涡流问题fem和bem耦合的局部后检误差估计器。我们进行了一些数值测试，以强调估计器的可靠性和效率，并测试其在自适应改进方案中的有效性。

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A P-HIERARCHICAL ERROR ESTIMATOR FOR A FEM-BEM COUPLING OF AN EDDY CURRENT PROBLEM IN R 3

We extend a p-hierarchical decomposition of the second degree finite element space of Nedelec for tetrahedral meshes in three dimensions given in [1] to meshes with hexahedral elements, and derive p-hierarchical decompositions of the second degree finite element space of Raviart-Thomas in two dimensions for triangular and quadrilateral meshes. After having proved stability of these subspace decompositions and requiring certain saturation assumptions to hold, we construct a local a posteriori error estimator for fem and bem coupling of a time-harmonic electromagnetic eddy current problem in R 3 . We perform some numerical tests to underline reliability and efficiency of the estimator and test its usefulness in an adaptive refinement scheme.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

发文量