scholarly journals Multipoint flux mixed finite element methods for slightly compressible flow in porous media

2019 ◽  
Vol 77 (6) ◽  
pp. 1437-1452 ◽  
Author(s):  
A. Arrarás ◽  
L. Portero
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Compressible Flow ◽  
Finite Element Methods ◽  
Mixed Finite Element ◽  
Mixed Finite Element Methods ◽  
Flow In Porous Media ◽  
Slightly Compressible

scholarly journals New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media

2019 ◽  
Vol 80 (1) ◽  
pp. 141-174 ◽  
Author(s):  
Mario Alvarez ◽  
Gabriel N. Gatica ◽  
Bryan Gomez-Vargas ◽  
Ricardo Ruiz-Baier
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Natural Convection ◽  
Phase Change ◽  
Finite Element Methods ◽  
Mixed Finite Element ◽  
Mixed Finite Element Methods

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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