| Issue |
ESAIM: M2AN
Volume 34, Number 3, May/june 2000
|
|
|---|---|---|
| Page(s) | 687 - 706 | |
| DOI | https://doi.org/10.1051/m2an:2000162 | |
| Published online | 15 April 2002 | |
An upwinding mixed finite element method for a mean field model of superconducting vortices
1
Institute of Mathematics, Academia Sinica, Beijing 100080, P.R. China.
e-mail: zmchen@math03.math.ac.cn
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: madu@uxmail.ust.hk
Received:
16
March
1999
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
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