A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.07.016 ◽

2021 ◽

Author(s):

Efthymios N. Karatzas ◽

Monica Nonino ◽

Francesco Ballarin ◽

Gianluigi Rozza

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Navier Stokes ◽

Reduced Order ◽

Stokes Problems ◽

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An analysis of a weak Galerkin finite element method for stationary Navier–Stokes problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.07.037 ◽

2019 ◽

Vol 362 ◽

pp. 484-497

Author(s):

Tie Zhang ◽

Tao Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Stokes Problems ◽

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Superconvergence of a 3D finite element method for stationary Stokes and Navier-Stokes problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20058 ◽

2005 ◽

Vol 21 (4) ◽

pp. 701-725 ◽

Author(s):

G. Matthies ◽

P. Skrzypacz ◽

L. Tobiska

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Navier Stokes ◽

3D Finite Element ◽

Stokes Problems ◽

3D Finite Element Method ◽

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On the computed pressures for Navier-Stokes problems at increasing Reynolds numbers using the penalty finite element method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650050504 ◽

1985 ◽

Vol 5 (5) ◽

pp. 439-442 ◽

Author(s):

R. Krishnan ◽

G. F. Carey

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reynolds Numbers ◽

Navier Stokes ◽

Stokes Problems ◽

Penalty Finite Element Method ◽

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Modified characteristics mixed defect-correction finite element method for the time-dependent Navier–Stokes problems

Applicable Analysis ◽

10.1080/00036811.2014.899354 ◽

2014 ◽

Vol 94 (4) ◽

pp. 701-724 ◽

Author(s):

Zhiyong Si ◽

Yinnian He ◽

Yunxia Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Navier Stokes ◽

Defect Correction ◽

Stokes Problems ◽

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A least-squares finite element method for incompressible Navier-Stokes problems

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650140706 ◽

1992 ◽

Vol 14 (7) ◽

pp. 843-859 ◽

Author(s):

Bo-Nan Jiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Navier Stokes ◽

Stokes Problems ◽

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A Second Order Modified Characteristics Variational Multiscale Finite Element Method for Time-Dependent Navier-Stokes Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1210-m3799 ◽

2013 ◽

Vol 31 (2) ◽

pp. 154-174 ◽

Author(s):

Zhiyong Si

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Time Dependent ◽

Navier Stokes ◽

Variational Multiscale ◽

Multiscale Finite Element Method ◽

Stokes Problems ◽

Multiscale Finite Element ◽

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The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.03.004 ◽

2021 ◽

Vol 165 ◽

pp. 376-413

Author(s):

Xue Wang ◽

Guang-an Zou ◽

Bo Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Navier Stokes ◽

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Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual–porosity–Navier–Stokes model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.04.012 ◽

2021 ◽

Author(s):

Luling Cao ◽

Yinnian He ◽

Jian Li ◽

Md. Abdullah Al Mahbub

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Dual Porosity ◽

Navier Stokes ◽

Characteristic Finite Element ◽

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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.014 ◽

2021 ◽

Vol 96 ◽

pp. 67-76

Author(s):

Huanrong Li ◽

Dongmei Wang ◽

Zhengyuan Song ◽

Fuchen Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Analysis ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Reduced Order ◽

Energy Stable ◽

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An Upwind Nonlinear Galerkin Finite Element Method For The Stationary Navier-Stokes Equations

10.1063/1.3452172 ◽

2010 ◽

Author(s):

Juan Wen ◽

Jane W. Z. Lu ◽

Andrew Y. T. Leung ◽

Vai Pan Iu ◽

Kai Meng Mok

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Stationary Navier Stokes Equations ◽

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