数学物理学报(英文版)

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

马宁   

  1. 中国石油大学数学物理系, 北京 102249
  • 收稿日期:2005-01-09 修回日期:1900-01-01 出版日期:2007-10-20 发布日期:2007-10-20
  • 通讯作者: 马宁
  • 基金资助:

    Supported by NNSF of China (10441005); Research Fund for Doctoral Program of High Education by China State Education Ministry

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

Ma Ning   

  1. Department of Mathematics and Physics, China University of Petroleum, Beijing 102249, China
  • Received:2005-01-09 Revised:1900-01-01 Online:2007-10-20 Published:2007-10-20
  • Contact: Ma Ning

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.

关键词: Incompressible, immiscible, collocation scheme, error estimate

Abstract:

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.

Key words: Incompressible, immiscible, collocation scheme, error estimate

中图分类号: 

  • 65M60