A decoupled stabilized finite element method for the dual‐porosity‐Navier–Stokes fluid flow model arising in shale oil

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22718 ◽

2020 ◽

Author(s):

Liang Gao ◽

Jian Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Flow ◽

Flow Model ◽

Dual Porosity ◽

Navier Stokes ◽

Shale Oil ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Stokes Fluid

Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model

Numerical Algorithms ◽

10.1007/s11075-020-01005-5 ◽

2020 ◽

Author(s):

Tong Zhang ◽

Mengmeng Duan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Flow ◽

Convergence Analysis ◽

Viscoelastic Fluid ◽

Flow Model ◽

Stability And Convergence ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Stability And Convergence Analysis

Mixed stabilized finite element method for the stationary Stokes-dual-permeability fluid flow model

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112616 ◽

2020 ◽

Vol 358 ◽

pp. 112616

Author(s):

Md. Abdullah Al Mahbub ◽

Feng Shi ◽

Nasrin Jahan Nasu ◽

Yongshuai Wang ◽

Haibiao Zheng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Flow ◽

Flow Model ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Element Method

Edge-based data structures for a symmetric stabilized finite element method for the incompressible Navier–Stokes equations with heat transfer

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1372 ◽

2007 ◽

Vol 53 (9) ◽

pp. 1473-1494 ◽

Cited By ~ 3

Author(s):

R. A. Kraft ◽

A. L. G. A. Coutinho ◽

P. A. B. de Sampaio

Keyword(s):

Heat Transfer ◽

Finite Element Method ◽

Finite Element ◽

Data Structures ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Edge Based

A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number

Journal of Computational Mathematics ◽

10.4208/jcm.1810-m2018-0096 ◽

2020 ◽

Vol 38 (3) ◽

pp. 395-416

Author(s):

Chunmei Xie & Minfu Feng

Keyword(s):

Finite Element Method ◽

Reynolds Number ◽

Finite Element ◽

High Reynolds Number ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

High Reynolds

A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/23.4.665 ◽

2003 ◽

Vol 23 (4) ◽

pp. 665-691 ◽

Cited By ~ 39

Author(s):

Y. He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Time Dependent ◽

Navier Stokes ◽

Stabilized Finite Element ◽

Fully Discrete ◽

Stabilized Finite Element Method ◽

Element Method

A fully discrete stabilized finite element method for the time-dependent Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.04.037 ◽

2009 ◽

Vol 215 (1) ◽

pp. 85-99 ◽

Cited By ~ 5

Author(s):

Li Shan ◽

Yanren Hou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Fully Discrete ◽

Stabilized Finite Element Method ◽

Element Method

Monolithic stabilized finite element method for rigid body motions in the incompressible Navier-Stokes flow

European Journal of Computational Mechanics ◽

10.3166/ejcm.19.547-573 ◽

2010 ◽

Vol 19 (5-7) ◽

pp. 547-573 ◽

Cited By ~ 5

Author(s):

Stephanie Feghali ◽

Elie Hachem ◽

Thierry Coupez

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Rigid Body ◽

Stokes Flow ◽

Navier Stokes ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Rigid Body Motions ◽

Element Method

Stabilized finite-element method for the stationary Navier-Stokes equations

Journal of Engineering Mathematics ◽

10.1007/s10665-004-3718-5 ◽

2005 ◽

Vol 51 (4) ◽

pp. 367-380 ◽

Cited By ~ 41

Author(s):

Yinnian He ◽

Aiwen Wang ◽

Liquan Mei

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Stationary Navier Stokes Equations ◽

Element Method

A characteristic stabilized finite element method for the non-stationary Navier–Stokes equations

Computing ◽

10.1007/s00607-011-0153-0 ◽

2011 ◽

Vol 93 (1) ◽

pp. 65-87 ◽

Cited By ~ 1

Author(s):

Hongen Jia ◽

Demin Liu ◽

Kaitai Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Stationary Navier Stokes Equations ◽

Element Method

A parallel subgrid stabilized finite element method based on fully overlapping domain decomposition for the Navier–Stokes equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.02.060 ◽

2013 ◽

Vol 403 (2) ◽

pp. 667-679 ◽

Cited By ~ 9

Author(s):

Yueqiang Shang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Domain Decomposition ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Overlapping Domain Decomposition ◽

Element Method