A p-hierarchical error estimator for a fe-be coupling formulation applied to electromagnetic scattering problems in ℝ 3

Research output: Contribution to journalArticleResearchpeer review

Authors

  • F. Leydecker
  • M. Maischak
  • E. P. Stephan
  • M. Teltscher

Research Organisations

External Research Organisations

  • Brunel University
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Details

Original languageEnglish
Pages (from-to)277-293
Number of pages17
JournalApplicable analysis
Volume91
Issue number2
Early online date14 Sept 2011
Publication statusPublished - Feb 2012

Abstract

We examine the construction of p-hierarchical local a posteriori error estimators for time-harmonic electromagnetic problems using edge-based finite elements and boundary elements for hexahedral and tetrahedral meshes in ℝ 3. The error estimators rely on stable subspace decompositions of Nédélec elements in H(curl, Ω) and Raviart-Thomas elements in.

Keywords

    electromagnetic scattering, fe-be coupling, hierarchical-based a posteriori error estimation, Maxwell's equations, Nédélec elements, Raviart-Thomas elements

ASJC Scopus subject areas

Cite this

A p-hierarchical error estimator for a fe-be coupling formulation applied to electromagnetic scattering problems in ℝ 3. / Leydecker, F.; Maischak, M.; Stephan, E. P. et al.
In: Applicable analysis, Vol. 91, No. 2, 02.2012, p. 277-293.

Research output: Contribution to journalArticleResearchpeer review

Leydecker F, Maischak M, Stephan EP, Teltscher M. A p-hierarchical error estimator for a fe-be coupling formulation applied to electromagnetic scattering problems in ℝ 3. Applicable analysis. 2012 Feb;91(2):277-293. Epub 2011 Sept 14. doi: 10.1080/00036811.2011.614605
Leydecker, F. ; Maischak, M. ; Stephan, E. P. et al. / A p-hierarchical error estimator for a fe-be coupling formulation applied to electromagnetic scattering problems in ℝ 3. In: Applicable analysis. 2012 ; Vol. 91, No. 2. pp. 277-293.
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