Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation

Author:

Chen Chao1,Creusé Emmanuel2,Nicaise Serge3,Tang Zuqi4

Affiliation:

1. School of Mathematics and Computer Science; Fujian Normal University; Fuzhou Fujian 350108 China

2. Université Lille 1, LPP and INRIA Lille-Nord Europe; 59655 Villeneuve d'Ascq France

3. Université de Valenciennes; Valenciennes Cedex 09 59313 France

4. INRIA Paris-Rocquencourt; B.P. 105 Le Chesnay 78153 France

Funder

Labex CEMPI

Assistance of the European Regional Development Fund

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference27 articles.

1. Error estimates for adaptive finite element computations;Babuška;SIAM Journal on Numerical Analysis,1978

2. A posteriori error estimates for the finite element method;Babuška;International Journal for Numerical Methods in Engineering,1978

3. An adaptive finite element method for the eddy current model with circuit/field couplings;Chen;SIAM Journal on Scientific Computing,2010

4. Residual-based a posteriori estimators for the A − ϕ magnetodynamic harmonic formulation of the Maxwell system;Creusé;Mathematical Models and Methods in Applied Sciences,2012

5. An adaptive finite element method for the H-ψ formulation of time-dependent eddy current problems;Zheng;Numerical Mathematics,2006

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