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

  • Zhiming Chen (a1) and Qiang Du (a2)

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.

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Keywords

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

  • Zhiming Chen (a1) and Qiang Du (a2)

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