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A new mixed finite element approximation of Maxwell’s problem is proposed, its main features being that it is based on a novel augmented formulation of the continuous problem and the introduction of a mesh dependent stabilizing term, which yields a very weak control on the divergence of the unknown. The method is shown to be stable and convergent in the natural H(curl; ) norm for this unknown. In particular, convergence also applies to singular solutions, for which classical nodal based interpolations are known to suffer from spurious convergence upon mesh refinement.

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UPCommons - E-prints UPC Universitat Politècnica de Catalunya   


Badia, Santiago -  Codina, Ramon - 

Id.: 55208269

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  20 p. - 

Palabras claveÀrees temàtiques de la UPC -  Matemàtiques i estadística -  Anàlisi numèrica -  Mètodes en elements finits - 

Tipo de recurso: Article  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Open Access

Formatos:  20 p. - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://epubs.siam.org/sinum/resource/1/sjnaam/v50/i2/p398_s1

Fecha de contribución: 30-ene-2014


* S. Badia; Codina, R. A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions. "SIAM journal on numerical analysis", 2012, vol. 50, núm. 2, p. 398-417.
* 0036-1429
* 10.1137/110835360

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