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

• DOI: 10.1137/080713112
• Publication Date: 2010-03-26T18:24:06Z
• Authors: Junqing Chen; Zhiming Chen; Tao Cui; Lin-Bo Zhang
• Keywords: 0101 mathematics; 01 natural sciences

We develop an adaptive finite element method for solving the eddy current model with voltage excitations complicated three-dimensional structures. The mathematical is based on $\mathbf{A}-\phi$ formulation whose well-posedness established. derive a posteriori error estimate approximation of solution not unique in nonconducting region. Numerical experiments that illustrate competitive behavior proposed are provided.