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A linear nonconforming finite element method for Maxwell's equations in two dimensions. Part I: Frequency domain
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Chalmers University of Technology.
2010 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 229, no 18, 6534-6547 p.Article in journal (Refereed) Published
Abstract [en]

We suggest a linear nonconforming triangular element for Maxwell's equations and test it in the context of the vector Helmholtz equation. The element uses discontinuous normal fields and tangential fields with continuity at the midpoint of the element sides, an approximation related to the Crouzeix-Raviart element for Stokes. The element is stabilized using the jump of the tangential fields, giving us a free parameter to decide. We give dispersion relations for different stability parameters and give some numerical examples, where the results converge quadratically with the mesh size for problems with smooth boundaries. The proposed element is free from spurious solutions and, for cavity eigenvalue problems, the eigenfrequencies that correspond to well-resolved eigenmodes are reproduced with the correct multiplicity.

Place, publisher, year, edition, pages
2010. Vol. 229, no 18, 6534-6547 p.
Keyword [en]
Maxwell's equations, Stabilized methods, Finite element, Interior penalty method, Nonconforming method
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15816DOI: 10.1016/j.jcp.2010.05.009ISI: 000280251100019OAI: oai:DiVA.org:hj-15816DiVA: diva2:440339
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-07Bibliographically approved

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  • apa
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  • Other locale
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