An upwinding mixed finite element method for a mean field model of superconducting vortices
Zhiming Chen1 and Qiang Du2
Institute of Mathematics, Academia Sinica, Beijing 100080, P.R. China.
2 Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, and Department of Mathematics, Iowa State University, Ames, IA 50011, USA. e-mail: email@example.com
Revised: 14 September 1999
In this paper, we construct a combined upwinding and mixed finite element method for the numerical solution of a two-dimensional mean field model of superconducting vortices. An advantage of our method is that it works for any unstructured regular triangulation. A simple convergence analysis is given without resorting to the discrete maximum principle. Numerical examples are also presented.
Mathematics Subject Classification: 65N99 / 82D55
Key words: Mean field model / superconductivity / vortices / mixed finite element / unstructured grid / convergence analysis.
© EDP Sciences, SMAI, 2000