An error analysis of least-squares finite element method of velocity-pressure-vorticity formulation for stokes problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(90)90079-2 ◽

1990 ◽

Vol 84 (3) ◽

pp. 247-255 ◽

Author(s):

Ching Lung Chang ◽

Jiang Bo-Nan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Least Squares ◽

Stokes Problem ◽

Velocity Pressure ◽

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On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901399604 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2114-2130 ◽

Author(s):

Huo-Yuan Duan ◽

Guo-Ping Liang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Velocity Pressure ◽

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A least-squares finite element method for a nonlinear Stokes problem in glaciology

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.11.001 ◽

2016 ◽

Vol 71 (11) ◽

pp. 2421-2431 ◽

Author(s):

Irene Sonja Monnesland ◽

Eunjung Lee ◽

Max Gunzburger ◽

Ryeongkyung Yoon

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Problem ◽

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Implementation of a least-squares finite element method for solving the Stokes problem with a parameter

Numerical Linear Algebra with Applications ◽

10.1002/(sici)1099-1506(199910/11)6:7<587::aid-nla182>3.0.co;2-z ◽

1999 ◽

Vol 6 (7) ◽

pp. 587-597 ◽

Author(s):

I. O. Arushanian ◽

G. M. Kobelkov

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Problem ◽

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Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation

SIAM Journal on Numerical Analysis ◽

10.1137/s0097539794273368 ◽

1997 ◽

Vol 34 (2) ◽

pp. 480-489 ◽

Author(s):

C. L. Chang ◽

John J. Nelson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Problem ◽

Mass Conservation ◽

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A new absolutely stable simplified Galerkin Least-Squares finite element method using nonconforming element for the Stokes problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.11.047 ◽

2013 ◽

Vol 219 (10) ◽

pp. 5356-5366 ◽

Author(s):

Gang Chen ◽

Minfu Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Problem ◽

Nonconforming Element ◽

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Error analysis of a weighted least-squares finite element method for 2-D incompressible flows in velocity-stress-pressure formulation

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(199812)21:18<1637::aid-mma13>3.0.co;2-m ◽

1998 ◽

Vol 21 (18) ◽

pp. 1637-1654 ◽

Author(s):

Suh-Yuh Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Least Squares ◽

Incompressible Flows ◽

Weighted Least Squares ◽

Pressure Formulation ◽

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Error Analysis of a Stabilized Finite Element Method for the Generalized Stokes Problem

Journal of Computational Mathematics ◽

10.4208/jcm.1805-m2017-0192 ◽

2020 ◽

Vol 38 (2) ◽

pp. 254-290

Author(s):

Huoyuan Duan and Roger C.E. Tan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Stokes Problem ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Generalized Stokes Problem ◽

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A least-squares finite element method for incompressible flow in stress-velocity-pressure version

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00860-7 ◽

1995 ◽

Vol 128 (1-2) ◽

pp. 1-9 ◽

Author(s):

C.L. Chang ◽

S.Y. Yang ◽

C.H. Hsu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Incompressible Flow ◽

Velocity Pressure ◽

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An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.11.039 ◽

2017 ◽

Vol 73 (3) ◽

pp. 450-464

Author(s):

Hyung Jun Choi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Stokes Problem ◽

Corner Singularities ◽

The Finite Element Method ◽

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Exact a posteriori error analysis of the least squares finite element method

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00153-8 ◽

2000 ◽

Vol 116 (3) ◽

pp. 297-305 ◽

Author(s):

Jinn-Liang Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Least Squares ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

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