THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS

数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (4): 489-499.

THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS

袁益让

(Institute of Mathematics, Shandong University, Jinan 250100, China)

出版日期:2002-10-14 发布日期:2002-10-14
基金资助:
The project supported by the Major State Basic Research Program of China (19990328), NNSF of China (19871051, 19972039) and the Doctorate Foundation of the State Education Commission.

THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS

YUAN Yi-Rang

(Institute of Mathematics, Shandong University, Jinan 250100, China)

Online:2002-10-14 Published:2002-10-14
Supported by:
The project supported by the Major State Basic Research Program of China (19990328), NNSF of China (19871051, 19972039) and the Doctorate Foundation of the State Education Commission.

摘要/Abstract

摘要：

For compressible two-phase displacement problem, a kind of upwind operator splitting finite difference schemes is put forward and make use of operator splitting, of calculus of variations, multiplicative commutation rule of difference operators, decompo-sition of high order difference operators and prior estimates are adopted. Optimal order estimates in L2 norm are derived to determine the error in the approximate solution.

关键词: Two-phase displacement, two-dimensional compressibility, upwind operator splitting, finite difference schemes, convergence analysis

Abstract:

Key words: Two-phase displacement, two-dimensional compressibility, upwind operator splitting, finite difference schemes, convergence analysis

中图分类号:

65M15

袁益让. THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS[J]. 数学物理学报(英文版), 2002, 22(4): 489-499.

YUAN Yi-Rang. THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS[J]. Acta mathematica scientia,Series B, 2002, 22(4): 489-499.

参考文献

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THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS

THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS

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