Citation
Zm. Chen et Q. Du, An upwinding mixed finite element method for a mean field model of superconducting vortices, ESAIM-M MOD, 34(3), 2000, pp. 687-706
Citations number
23
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X
→ ACNP
Volume
34
Issue
3
Year of publication
2000
Pages
687 - 706
Database
ISI
SICI code
0764-583X(200005/06)34:3<687:AUMFEM>2.0.ZU;2-N
Abstract
In this paper, we construct a combined upwinding and mixed finite element m
ethod for the numerical solution of a two-dimensional mean field model of s
uperconducting vortices. An advantage of our method is that it works for an
y unstructured regular triangulation. A simple convergence analysis is give
n without resorting to the discrete maximum principle. Numerical examples a
re also presented. Mathematics Subject Classification. 65N99, 82D55.