Analysis and convergence of a covolume approximation of the ginzburg-landau model of superconductivity

Qiang Du; R. A. Nicolaides; Xiaonan WU

doi:10.1137/S0036142996302852

Analysis and convergence of a covolume approximation of the ginzburg-landau model of superconductivity

Qiang Du^*, R. A. Nicolaides, Xiaonan WU

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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	https://doi.org/10.1137/S0036142996302852
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

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10.1137/S0036142996302852

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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.",

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AU - Nicolaides, R. A.

AU - WU, Xiaonan

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N2 - 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.

AB - 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.

KW - Convergence analysis

KW - Covolume approximations

KW - Gauge invariance

KW - Ginzburg-Landau model of superconductivity

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ER -

Analysis and convergence of a covolume approximation of the ginzburg-landau model of superconductivity

Abstract

Scopus Subject Areas

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