A NONCHARACTERISTIC CAUCHY-PROBLEM FOR LINEAR PARABOLIC EQUATIONS .3. A VARIATIONAL METHOD AND ITS APPROXIMATION SCHEMES

被引：13

作者：

HAO, DN

机构：

[1] FREE UNIV BERLIN,INST MATH 1,W-1000 BERLIN 33,GERMANY

[2] FREE UNIV BERLIN,DEPT MATH,W-1000 BERLIN 33,GERMANY

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1992年 / 13卷 / 5-6期

关键词：

D O I：

10.1080/01630569208816499

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [5] a variational method is suggested for the following noncharacteristic Cauchy problem for parabolic equations Pu(x, t) = u(t)(x, t) 0 less-than-or-equal-to x < 1 0 less-than-or-equal-to t less-than-or-equal-to T "surface temperature"\x=0 = phi(t) 0 < t less-than-or-equal-to T "surface heat flux"\x=0 = g(t) 0 < t less-than-or-equal-to T Here P is an elliptic operator, phi and g are given functions. In this paper a discretization in time Galerkin method and a finite difference method for this variational problem are proposed. Convergence theorems of these methods are given.

引用

页码：565 / 583

页数：19