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.
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页码：89 / 131
页数：43
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