Back to Search
Start Over
Numerical analysis of superconductivity
- Source :
-
Comptes Rendus. Mathématique . Oct2003, Vol. 337 Issue 8, p543. 6p. - Publication Year :
- 2003
-
Abstract
- Motivated by the superconductivity, we are interested in the fundamental state of the Schoro¨dinger operator with magnetic field. In this paper, we propose a numerical approach based on the finite elements method to determine the bottom of the spectrum of this operator in general domains. We improve the numerical results by using mesh-refinement techniques based on a posteriori error estimators developed elsewhere. We also look at the monotonicity of the bottom of the spectrum in an angular sector according to the angle to complement the theorical study of Bonnaillie (C. R. Acad. Sci. Paris, Ser. I 336 (2) (2003) 135–140). To cite this article: F. Alouges, V. Bonnaillie, C. R. Acad. Sci. Paris, Ser. I 337 (2003). [Copyright &y& Elsevier]
Details
- Language :
- French
- ISSN :
- 1631073X
- Volume :
- 337
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 11173440
- Full Text :
- https://doi.org/10.1016/j.crma.2003.09.007