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An upwinding mixed finite element method for a mean field model of superconducting vortices

Published online by Cambridge University Press:  15 April 2002

Zhiming Chen  and
Qiang Du
Zhiming Chen
Affiliation:
Institute of Mathematics, Academia Sinica, Beijing 100080, P.R. China. e-mail: zmchen@math03.math.ac.cn
Qiang Du
Affiliation:
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
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Abstract

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.

Keywords

Mean field modelsuperconductivityvorticesmixed finite elementunstructured gridconvergence analysis.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 3 , May 2000 , pp. 687 - 706
Copyright
© EDP Sciences, SMAI, 2000

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