Analysis of a variable time-step discretization for the Penrose-Fife phase relaxation problem

被引：2

作者：

Stefanelli, U ^{[1
]}

机构：

[1] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 45卷 / 02期

关键词：

Penrose-Fife model; phase transitions; phase relaxation; time discretization; convergence results; error estimates;

D O I：

10.1016/S0362-546X(99)00339-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An initial-boundary value problem is considered for a nonlinear system of field equations arising from the Penrose-Fife phase relaxation model of phase transitions. In this system, a nonconserved order parameter and an absolute temperature are studied. No diffusive effect is assumed for the phase transition. The heat flux obeys the Fourier law. The free energy has the (nonsmooth) normalized form.

引用

页码：213 / 240

页数：28

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