Abstract
In this paper, we present the mathematical analysis of a covolume method for the approximations of the Ginzburg-Landau (GL) model for superconductivity. A nice feature of this approach is that the gauge invariance properties are retained in discrete approximations based on triangular grids. We also use properties of discrete vector fields to study issues such as the gauge choices and their enforcement.
| Original language | English |
|---|---|
| Pages (from-to) | 1049-1072 |
| Number of pages | 24 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1998 |
Scopus Subject Areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Convergence analysis
- Covolume approximations
- Gauge invariance
- Ginzburg-Landau model of superconductivity