Numerical approximation for the phase-field transition system

被引：16

作者：

Arnautu, V

Morosanu, C

机构：

[1] Faculty of Mathematics, University of Iasi

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1996年 / 62卷 / 3-4期

关键词：

phase-field transition system; Newton method; fractional step method;

D O I：

10.1080/00207169608804538

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The 1D phase-field transition system introduced by Caginalp to describe the moving boundary in melting problems is considered. It is discretized by finite differences and three algorithms are presented to solve the resulting nonlinear algebraic system: the Newton method, an improved Newton method with reduced system and a fractional step method. Numerical results are reported and a comparison between the algorithms is made.

引用

页码：209 / 221

页数：13

共 7 条

[1]

Barbu V., 1993, Differ. Integral Equ, V1, P15

[2]

BATES PW, 1992, DYNAMICAL SYSTEMS, P375

[3]

CAGINALP G, 1986, ARCH RATION MECH AN, V92, P205

[4] THE EXISTENCE OF TRAVELING WAVES FOR PHASE FIELD-EQUATIONS AND CONVERGENCE TO SHARP INTERFACE MODELS IN THE SINGULAR LIMIT [J].

CAGINALP, G ;

NISHIURA, Y .

QUARTERLY OF APPLIED MATHEMATICS, 1991, 49 (01) :147-162

[5]

Elliott C. M., 1990, INT SER NUMERICAL MA, V95

[6]

FIFE CP, IN PRESS NONLINEAR P

[7]

MOROSANU C, IN PRESS APPROXIMATI

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