Detalles del recurso
Pertenece a:
UPCommons - E-prints UPC Universitat Politècnica de Catalunya
Descripción: 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.
Autor(es): Badia Rodríguez, Santiago I. - Codina, Ramon -
Id.: 55208269
Idioma:
inglés
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Versión: 1.0
Estado: Final
Tipo: 20 p. -
Palabras clave: Àrees temàtiques de la UPC - Matemàtiques i estadística - Anàlisi numèrica - Mètodes en elements finits -
Tipo de recurso:
Article
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Tipo de Interactividad: Expositivo
Nivel de Interactividad: muy bajo
Audiencia:
Estudiante
- Profesor
- Autor
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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: 05-may-2013
Contacto:
Localización:
* 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