A FINITE ELEMENT COLLOCATION METHOD FOR TWO-PHASE INCOMPRESSIBLE IMMISCIBLE PROBLEMS

被引：0
|
作者：
马宁 [1 ]
机构：
[1] Department of Mathematics and Physics China University of Petroleum Beijing 102249
来源：
ActaMathematicaScientia | 2007年 / 04期
关键词：
Incompressible; immiscible; collocation scheme; error estimate;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法];
学科分类号：
0701 ; 070104 ;
摘要：
Two-phase,incompressible,immiscible flow in porous media is governed by a coupled system of nonlinear partial differential equations.The pressure equation is elliptic, whereas the concentration equation is parabolic,and both are treated by the collocation scheme.Existence and uniqueness of solutions of the algorithm are proved.A optimal convergence analysis is given for the method.
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页码：875 / 885
页数：11
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