On Some Aspects of the hp-FEM for Time-Harmonic Maxwell’s Equations

Tomáš Vejchodský (), Pavel Šolín () and Martin Zítka ()
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Tomáš Vejchodský: Academy of Sciences, Mathematical Institute
Pavel Šolín: University of Texas at El Paso, Department of Mathematical Sciences
Martin Zítka: University of Texas at El Paso, Department of Mathematical Sciences

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 691-699 from Springer

Abstract: Abstract It is well known that the design of suitable higher-order shape functions is essential for the performance of the hp-FEM. In this paper we propose a new family of hierarchic higher-order edge elements for the time-harmonic Maxwell’s equations which are capable of reducing the condition number of the stiffness matrices dramatically compared to the currently best known hierarchic edge elements. The excellent conditioning properties of the new elements are illustrated by numerical examples.

Keywords: Shape Function; Condition Number; Edge Function; Edge Element; Conditioning Property (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_67

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DOI: 10.1007/978-3-540-34288-5_67

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