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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • Tomáš Vejchodský & Pavel Šolín & Martin Zítka, 2006. "On Some Aspects of the hp-FEM for Time-Harmonic Maxwell’s Equations," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 691-699, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_67
    DOI: 10.1007/978-3-540-34288-5_67
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