Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A posteriori error indicators for Maxwell's equations
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
Current and voltage excitations for the eddy current model: Research Articles
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Numerical analysis of electric field formulations of the eddy current model
Numerische Mathematik
An Adaptive Multilevel Method for Time-Harmonic Maxwell Equations with Singularities
SIAM Journal on Scientific Computing
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
SIAM Journal on Numerical Analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Hi-index | 0.00 |
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 $\mathbf{A}-\phi$ 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 that illustrate the competitive behavior of the proposed method are provided.