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Títol:
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A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions
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Autor/a:
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Badia, Santiago; Codina, Ramon
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Altres autors:
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Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
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Abstract:
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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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Matèries:
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Maxwell equations--Numerical solutions
-finite elements
-Maxwell equations
-singular solutions
-nodal elements
-stabilization techniques
-Maxwell, Equacions de |
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Drets:
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Tipus de document:
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Article - Versió publicada
Article |
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