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Numerical method for nonlinear two-phase displacement problem and its application

Numerical method for nonlinear two-phase displacement problem and its application
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摘要 For the three-dimensional nonlinear two-phase displacement problem, the modified upwind finite difference fractional steps schenles were put forward. Some techniques, such as calculus of variations, induction hypothesis, decomposition of high order difference operators, the theory of prior estimates and techniques were used. Optimal order estimates were derived for the error in the approximation solution. These methods have been successfully used to predict the consequences of seawater intrusion and protection projects. For the three-dimensional nonlinear two-phase displacement problem, the modified upwind finite difference fractional steps schenles were put forward. Some techniques, such as calculus of variations, induction hypothesis, decomposition of high order difference operators, the theory of prior estimates and techniques were used. Optimal order estimates were derived for the error in the approximation solution. These methods have been successfully used to predict the consequences of seawater intrusion and protection projects.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第5期639-652,共14页 应用数学和力学(英文版)
基金 the Major State Basic Research Program of China(No.G1999032803) the National Tackling Key Problems Program(No.20050200069) the National Natural Sciences Foundation of China(Nos.10771124,10372052) the Ph.D.Program Foundation of Ministry of Education of China(No.20030422047)
关键词 nonlinear coupled upwind fractional step CONVERGENCE seawater intrusion after-effect adjusted nonlinear coupled, upwind fractional step, convergence, seawater intrusion,after-effect, adjusted
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参考文献11

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