Finite-difference approximation of a one-dimensional Hamilton-Jacobi/elliptic system arising in superconductivity

被引：1

作者：

Briggs, AJ ^{[1
]}

Claisse, JR ^{[1
]}

Elliott, CM ^{[1
]}

机构：

[1] Univ Sussex, Ctr Math Anal & Its Applicat, Brighton BN1 9QH, E Sussex, England

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2002年 / 22卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Hamilton-Jacobi equation; elliptic-hyperbolic system; vortex density; evolution; superconductivity; finite difference schemes; viscosity solutions;

D O I：

10.1093/imanum/22.1.89

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finite-difference approximations to an elliptic-hyperbolic system arising in vortex density models for type II superconductors are studied. The problem can be formulated as a non-local Hamilton-Jacobi equation on a bounded domain with zero Neumann boundary conditions. Monotone schemes are defined and shown to be stable. An L-infinity error bound is proved for the approximations of the unique viscosity solution.

引用

页码：89 / 131

页数：43

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