Finite-difference approximation of a one-dimensional Hamilton–Jacobi/elliptic system arising in superconductivity
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چکیده
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∞ error bound is proved for the approximations of the unique viscosity solution.
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تاریخ انتشار 2001