| THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS |
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| 引用本文： | 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(B辑英文版), 2002, 22(4) |
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| 作者姓名： | 袁益让 |
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| 作者单位： | Institute of Mathematics，Shandong University，Jinan 250100，China |
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| 基金项目： | the Major State Basic Research Program of China（19990328），NNSF of China（19871051,19972039），the Doctorate Foundation of the State Education Commission |
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| 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.
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THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS |
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| Yuan Yirang. THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS[J]. Acta Mathematica Scientia, 2002, 22(4) |
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| Authors: | Yuan Yirang |
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| Abstract: | 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, decomposition 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. |
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| Keywords: | Two-phase displacement two-dimensional compressibility upwind operator splitting finite difference schemes convergence analysis |
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