A Broken P 1 -Nonconforming Finite Element Method for Incompressible Miscible Displacement Problem in Porous Media
Author(s) -
Fengxin Chen,
Huanzhen Chen
Publication year - 2013
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.1155/2013/498383
Subject(s) - algorithm , computer science
An approximate scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by using immersed interface finite element method for the pressure equation which is based on the broken -nonconforming piecewise linear polynomials on interface triangular elements and utilizing finite element method for the concentration equation. Error estimates for pressure in broken norm and for concentration in norm are presented.
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