Chen, Y.P. and Liu, W.B. (2008) A posteriori error estimates of mixed methods for miscible displacement problems. International Journal for Numerical Methods in Engineering, 73 (3). pp. 331-343. ISSN 0029-5981.
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The miscible displacement of one incompressible fluid by another in a porous medium is governed by a system of two equations.One is an elliptic equation of the pressure and the other is a parabolic equation of the concentration of one of the fluids.Since the pressure appears in the concentration only through its velocity field,we choose a mixed finite element method to approximate the pressure equation and for the concentration we use the standard Galerkin method.We shall obtain an explicit a posteriori error estimator in L-2(L-2) for the serni-discrete scheme applied to the non-linear coupled system.
|Uncontrolled keywords:||miscible displacement problem mixed finite element a posteriori error estimates|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Social Sciences > Kent Business School > Management Science|
|Depositing User:||Suzanne Duffy|
|Date Deposited:||10 Feb 2009 09:33|
|Last Modified:||10 Feb 2009 09:33|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/14969 (The current URI for this page, for reference purposes)|
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