A Robust Numerical Method for Stokes Equations Based on Divergence-FreeH(div) Finite Element Methods

SIAM Journal on Scientific Computing ◽

10.1137/080730044 ◽

2009 ◽

Vol 31 (4) ◽

pp. 2784-2802 ◽

Cited By ~ 27

Author(s):

Junping Wang ◽

Yanqiu Wang ◽

Xiu Ye

Keyword(s):

Finite Element ◽

Numerical Method ◽

Finite Element Methods ◽

Stokes Equations

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Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise

Journal of Scientific Computing ◽

10.1007/s10915-021-01546-4 ◽

2021 ◽

Vol 88 (2) ◽

Author(s):

Xiaobing Feng ◽

Hailong Qiu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiplicative Noise ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

Fully Discrete

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Error estimates of finite element methods for fractional stochastic Navier–Stokes equations

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1880-y ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Xiaocui Li ◽

Xiaoyuan Yang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Thomasset, F., Implementation of Finite Element Methods for Navier Stokes Equations. Berlin-Heidelberg-New York, Springer-Verlag 1981. VII, 161 S., 86 Abb., DM 72,–. US $ 33.60. ISBN 3-540-10771-1 (Springer Series in Computational Physics)

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19830630311 ◽

1983 ◽

Vol 63 (3) ◽

pp. 214-214

Author(s):

H. Wilke

Keyword(s):

New York ◽

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Computational Physics ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Springer Series

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Mixed finite element methods for incompressible flow: Stationary Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20467 ◽

2009 ◽

Vol 26 (4) ◽

pp. 957-978 ◽

Cited By ~ 27

Author(s):

Zhiqiang Cai ◽

Charles Tong ◽

Panayot S. Vassilevski ◽

Chunbo Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Incompressible Flow ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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Weighted least-squares finite element methods for the linearized Navier–Stokes equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.864391 ◽

2014 ◽

Vol 91 (9) ◽

pp. 1964-1985 ◽

Cited By ~ 4

Author(s):

Hsueh-Chen Lee

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Stokes Equations ◽

Weighted Least Squares ◽

Navier Stokes ◽

Navier Stokes Equations

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Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4738 ◽

2018 ◽

Vol 41 (5) ◽

pp. 2119-2139 ◽

Cited By ~ 1

Author(s):

Hailong Qiu ◽

Changfeng Xue ◽

Liang Xue

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Low Order

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Finite element methods and Navier-Stokes equations

Computing Methods in Applied Sciences and Engineering, 1977, II - Lecture Notes in Physics ◽

10.1007/3-540-09119-x_91 ◽

2008 ◽

pp. 27-47 ◽

Cited By ~ 3

Author(s):

P. A. Raviart

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Solution of the Compressible Navier-Stokes Equations by Least-Squares and Finite Element Methods

Numerical Simulation of Compressible Navier-Stokes Flows ◽

10.1007/978-3-322-87873-1_5 ◽

1987 ◽

pp. 85-104 ◽

Cited By ~ 1

Author(s):

M. O. Bristeau ◽

R. Glowinski ◽

B. Mantel ◽

J. Periaux ◽

C. Pouletty

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Finite element methods for solving the Navier-Stokes equations for compressible unsteady flows

Ninth International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/3-540-13917-6_119 ◽

2008 ◽

pp. 115-120

Author(s):

M. O. Bristeau ◽

R. Glowinski ◽

B. Mantel ◽

J. Periaux

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Unsteady Flows ◽

Navier Stokes ◽

Navier Stokes Equations

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Finite element methods for compressible Stokes equations with inflow boundary condition

Bulletin of the Australian Mathematical Society ◽

10.1017/s000497270003094x ◽

1997 ◽

Vol 56 (2) ◽

pp. 217-225

Author(s):

Jae Ryong Kweon

Keyword(s):

Finite Element Method ◽

Boundary Condition ◽

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Stokes Equations ◽

Discrete Problem ◽

Unique Existence ◽

Inflow Boundary Condition ◽

The One

A finite element method for solving the compressible viscous Stokes equation with an inflow boundary condition is presented. The unique existence of the solution of the discrete problem is established, and an error analysis is given. It is shown that the error in pressure is dominated by the one in velocity and an error at the inflow portion of the boundary.

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