|
Title:
|
A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions
|
|
Author:
|
Badia, Santiago; Codina, Ramon
|
|
Other authors:
|
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 |
|
Abstract:
|
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. |
|
Subject(s):
|
-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 |
|
Rights:
|
|
|
Document type:
|
Article - Published version
Article |
|
Share:
|
|
