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## A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions

Autor
Tipus d'activitat
Article en revista
Revista
SIAM journal on numerical analysis
Data de publicació
2012
Volum
50
Número
2
Pàgina inicial
398
Pàgina final
417
DOI
https://doi.org/10.1137/110835360
Repositori
http://hdl.handle.net/2117/15743
URL
http://epubs.siam.org/doi/abs/10.1137/110835360
Resum
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 $H({\rm \mathbf{curl}}\, 0; \Omega)$ norm for this unknown. In particular, convergence also applies to singular solutions, for which cla...
Citació
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.
Paraules clau
Maxwell equations, finite elements, nodal elements, singular solutions, stabilization techniques
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica