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

Zhiming Chen; Qiang Du

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 34, Issue: 3, page 687-706
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Chen, Zhiming, and Du, Qiang. "An upwinding mixed finite element method for a mean field model of superconducting vortices." ESAIM: Mathematical Modelling and Numerical Analysis 34.3 (2010): 687-706. <http://eudml.org/doc/197556>.

@article{Chen2010,
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. },
author = {Chen, Zhiming, Du, Qiang},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Mean field model; superconductivity; vortices; mixed finite element; unstructured grid; convergence analysis.; Mean field model, superconductivity, vortices, mixed finite element, unstructured grid, convergence analysis.},
language = {eng},
month = {3},
number = {3},
pages = {687-706},
publisher = {EDP Sciences},
title = {An upwinding mixed finite element method for a mean field model of superconducting vortices},
url = {http://eudml.org/doc/197556},
volume = {34},
year = {2010},
}

TY - JOUR
AU - Chen, Zhiming
AU - Du, Qiang
TI - An upwinding mixed finite element method for a mean field model of superconducting vortices
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 3
SP - 687
EP - 706
AB - 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.
LA - eng
KW - Mean field model; superconductivity; vortices; mixed finite element; unstructured grid; convergence analysis.; Mean field model, superconductivity, vortices, mixed finite element, unstructured grid, convergence analysis.
UR - http://eudml.org/doc/197556
ER -

References

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