A FINITE-ELEMENT GALERKIN METHOD FOR A UNIDIMENSIONAL SINGLE-PHASE NONLINEAR STEFAN PROBLEM WITH DIRICHLET BOUNDARY-CONDITIONS

被引：14

作者：

PANI, AK

DAS, PC

机构：

[1] INDIAN INST TECHNOL,DEPT MATH,KANPUR 208016,UTTAR PRADESH,INDIA

[2] AUSTRALIAN NATL UNIV,CTR MATH ANAL,CANBERRA,ACT 2600,AUSTRALIA

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1991年 / 11卷 / 01期

关键词：

D O I：

10.1093/imanum/11.1.99

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on straightening the free boundary, an H-1-Galerkin method is proposed and analysed for a single-phase nonlinear Stefan problem with Dirichlet boundary conditions. Optimal H-1-error estimates for continuous-time Galerkin approximations are derived.

引用

页码：99 / 113

页数：15

共 9 条

[1] Arnold D.N., 1979, CALCOLO, VXVI, P345
[2] A PRIORI ERROR-ESTIMATES IN H-1 AND H-2 NORMS FOR GALERKIN APPROXIMATIONS TO A SINGLE-PHASE NONLINEAR STEFAN PROBLEM IN ONE SPACE DIMENSION
DAS, PC
PANI, AK
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1989, 9 (02) : 213 - 229
[3] DOUGLAS J, 1971, ARCH RATION MECH AN, V42, P157
[4] DOUGLAS J, 1977, LECT NOTES MATH, V606, P64
[5] Ladyzhenskaya O. A., 1968, TRANSL MATH MONOGRAP, V23
[6] Nitsche J. A., 1980, FREE BOUNDARY PROBLE, VI, P277
[7] Nitsche J.A., 1978, RECENT ADV NUMERICAL, P119
[8] NITSCHE JA, 1983, RES NOTES MATH, V79, P601
[9] PANI AK, 1986, THESIS IIT KANPUR

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