An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings

We develop an adaptive finite element method for solving the eddy current model with voltage excitations for complicated three dimensional structures. The mathematical model is based on the A− φ formulation whose well-posedness is established. We derive the a posteriori error estimate for the finite element approximation of the model whose solution is not unique in the nonconducting region. Numerical experiments are provided which illustrate the competitive behavior of the proposed method. Key words. Eddy current, circuit/field coupling, adaptivity, a posteriori error analysis, PHG package. AMS subject classifications. 65N30, 65N55

• Type: Journal
• Year: 2010
• Where: SIAMSC
• Authors: Junqing Chen, Zhiming Chen, Tao Cui, Lin-Bo Zhang
• Keywords: Posteriori Error, Posteriori Error Estimate, SIAMSC 2010, finite Element