Fully coupled generalised hybrid-mixed finite element approximation of two-phase two-component flow in porous media. Part II: numerical scheme and numerical results

2012 ◽  
Vol 16 (3) ◽  
pp. 691-708 ◽  
Author(s):  
Estelle Marchand ◽  
Torsten Müller ◽  
Peter Knabner
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Numerical Scheme ◽  
Mixed Finite Element ◽  
Finite Element Approximation ◽  
Flow In Porous Media ◽  
Element Approximation ◽  
Two Phase ◽  
Two Component ◽  
Fully Coupled

Numerical Analysis for Two-phase Flow in Porous Media

2003 ◽  
Vol 3 (1) ◽  
pp. 59-75
Author(s):  
Zhangxin Chen
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Error Estimates ◽  
Finite Element Methods ◽  
Compressible Flows ◽  
Mixed Finite Element ◽  
Flow In Porous Media ◽  
Optimal Order ◽  
Two Phase ◽  
Characteristic Finite Element

Abstract In this paper we derive error estimates for finite element approximations for partial differential systems which describe two-phase immiscible flows in porous media. These approximations are based on mixed finite element methods for pressure and velocity and characteristic finite element methods for saturation. Both incompressible and compressible flows are considered. Error estimates of optimal order are obtained.

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