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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: [email protected]
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: [email protected]
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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.
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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