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

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

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topChen, 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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