CO-VOLUME METHODS FOR DEGENERATE PARABOLIC PROBLEMS

被引：15

作者：

BAUGHMAN, LA ^{[1
]}

WALKINGTON, NJ ^{[1
]}

机构：

[1] CARNEGIE MELLON UNIV,DEPT MATH,PITTSBURGH,PA 15213

来源：

NUMERISCHE MATHEMATIK | 1993年 / 64卷 / 01期

关键词：

D O I：

10.1007/BF01388680

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complementary volume (co-volume) technique is used to develop a physically appealing algorithm for the solution of degenerate parabolic problems, such as the Stefan problem. It is shown that, these algorithms give rise to a discrete semigroup theory that parallels the continuous problem. In particular, the discrete Stefan problem gives rise to nonlinear semigroups in both the discrete L1 and H-1 spaces.

引用

页码：45 / 67

页数：23

共 25 条

[1]

Atthey D, 1974, J I MATHS APPLICS, V13, P353

[2] SOME L1 EXISTENCE AND DEPENDENCE RESULTS FOR SEMILINEAR ELLIPTIC-EQUATIONS UNDER NONLINEAR BOUNDARY-CONDITIONS [J].