Services
-
Articles citing this article
-
Same authors
- Recommend this article
- Download citation
- Alert me if this article is cited
- Alert me if this article is corrected
Free access article
|
|||||||||||||||
References
- 1
- S.C. Brenner and L.R. Scott, The mathematical theory of finite element methods. Springer-Verlag, New York (1994).
- 2
- F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods. Springer, New York (1991).
- 3
- S.J. Chapman, A mean-field model of superconducting vortices in three dimensions. SIAM J. Appl. Math. 55 (1995) 1259-1274.
- 4
- S.J. Chapman and G. Richardson, Motion of vortices in type-II superconductors. SIAM J. Appl. Math. 55 (1995) 1275-1296.
- 5
- S.J. Chapman, J. Rubenstein, and M. Schatzman, A mean-field model of superconducting vortices. Euro. J. Appl. Math. 7 (1996) 97-111.
- 6
- Z. Chen and S. Dai, Adaptive Galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity. (Preprint, 1998).
- 7
- B. Cockburn, S. Hou and C.-W. Shu, The Runge-Kutta local projection discontinuos galerkin finite element method for conservation laws IV: The multidimensional case. Math. Com. 54 (1990) 545-581.
- 8
- Q. Du, Convergence analysis of a hybrid numerical method for a mean field model of superconducting vortices. SIAM Numer. Analysis, (1998).
- 9
- Q. Du, M. Gunzburger, and J. Peterson, Analysis and approximation of the Ginzburg-Landau model of superconductivity. SIAM Review 34 (1992) 54-81.
- 10
- Q. Du, M. Gunzburger, and J. Peterson, Computational simulations of type-II superconductivity including pinning mechanisms. Phys. Rev. B 51 (1995) 16194-16203.
- 11
- Q. Du, M. Gunzburger and H. Lee, Analysis and computation of a mean field model for superconductivity. Numer. Math. 81 539-560 (1999).
- 12
- Q. Du and Gray, High-kappa limit of the time dependent Ginzburg-Landau model for superconductivity. SIAM J. Appl. Math. 56 (1996) 1060-1093.
- 13
- W. E, Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity. Phys. D 77 (1994) 383-404.
- 14
- C. Elliott and V. Styles, Numerical analysis of a mean field model of superconductivity. preprint.
- 15
- V. Girault and -A. Raviart, Finite Element Methods for Navier-Stokes Equations. Springer, Berlin (1986).
- 16
- Grisvard, Elliptic Problems on Non-smooth Domains. Pitman, Boston (1985).
- 17
- C. Huang and T. Svobodny, Evolution of Mixed-state Regions in type-II superconductors. SIAM J. Math. Anal. 29 (1998) 1002-1021.
- 18
- Lesaint and P.A. Raviart, On a Finite Element Method for Solving the Neutron Transport equation, in: Mathematical Aspects of the Finite Element Method in Partial Differential Equations, C. de Boor Ed., Academic Press, New York (1974).
- 19
- L. Prigozhin, On the Bean critical-state model of superconductivity. Euro. J. Appl. Math. 7 (1996) 237-247.
- 20
- L. Prigozhin, The Bean model in superconductivity: variational formulation and numerical solution. J. Com Phys. 129 (1996) 190-200.
- 21
- Raviart and J. Thomas, A mixed element method for 2nd order elliptic problems, in: Mathematical Aspects of the Finite Element Method, Lecture Notes on Mathematics, Springer, Berlin 606 (1977).
- 22
- R. Schatale and V. Styles, Analysis of a mean field model of superconducting vortices (preprint).
- 23
- R. Temam, Navier-Stokes equations, Theory and Numerical Analysis. North-Holland, Amsterdam (1984).
Abstract
Copyright EDP Sciences, SMAI
| What is OpenURL? |
The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
- If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
- You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
- You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.


Document
BibSonomy
CiteUlike
Connotea
Del.icio.us
Digg
Facebook