NUMERICAL-SOLUTION FOR THE CAUCHY-PROBLEM IN NONLINEAR 1-D-THERMOELASTICITY

被引：16

作者：

JIANG, S ^{[1
]}

机构：

[1] XIAN JIAO TONG UNIV, DEPT MATH, XIAN, PEOPLES R CHINA

来源：

COMPUTING | 1990年 / 44卷 / 02期

关键词：

a coupled numerical scheme; AMS Subject Classifications: 73C25; 65M30; Nonlinear thermoelasticity; the Cauchy problem;

D O I：

10.1007/BF02241864

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We approximate the Cauchy problem by a problem in a bounded domain ΩR=(-R,R) with R>0 sufficiently large, and the boundary conditions on ∂ΩR are imposed in terms of the far field behavior of solutions to the Cauchy problem. Then we solve this approximate problem by the finite element method for the spatial variable and the difference method for the time variable. Moreover a coupled numerical scheme for the Cauchy problem is presented. The error estimates are established. © 1990 Springer-Verlag.

引用

页码：147 / 158

页数：12

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