a1 Institute of Mathematics, Academia Sinica, Beijing 100080, P.R. China. e-mail: email@example.com
a2 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: firstname.lastname@example.org
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.
(Received March 16 1999)
(Revised September 14 1999)
(Online publication April 15 2002)
Mathematics Subject Classification: