Error estimates for a mixed finite element discretization of a two-phase porous media flow model with dynamic capillarity

2019 ◽  
Vol 353 ◽  
pp. 164-178 ◽  
Author(s):  
Xiulei Cao ◽  
Koondanibha Mitra
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Error Estimates ◽  
Flow Model ◽  
Mixed Finite Element ◽  
Porous Media Flow ◽  
Finite Element Discretization ◽  
Two Phase ◽  
Element Discretization ◽  
Dynamic Capillarity

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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