Least-squares spectral collocation method for the Stokes equations

Sang Dong Kim; Hyung-Chun Lee; Byeong Chun Shin

doi:10.1002/num.10085

Least-squares spectral collocation method for the Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10085 ◽

2003 ◽

Vol 20 (1) ◽

pp. 128-139 ◽

Cited By ~ 10

Author(s):

Sang Dong Kim ◽

Hyung-Chun Lee ◽

Byeong Chun Shin

Keyword(s):

Least Squares ◽

Collocation Method ◽

Stokes Equations ◽

Spectral Collocation Method ◽

Spectral Collocation

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An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier–Stokes equations

Journal of Engineering Mathematics ◽

10.1007/s10665-006-9081-y ◽

2006 ◽

Vol 56 (3) ◽

pp. 337-350 ◽

Cited By ~ 7

Author(s):

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Collocation Method ◽

Stokes Equations ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

Triangular Elements

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Mass and momentum conservation of the least-squares spectral collocation method for the Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.08.004 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1193-1215 ◽

Cited By ~ 2

Author(s):

Thorsten Kattelans ◽

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Collocation Method ◽

Stokes Equations ◽

Momentum Conservation ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations

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Mass and Momentum Conservation of the Least-Squares Spectral Collocation Method for the Time-Dependent Stokes Equations

10.1063/1.3241425 ◽

2009 ◽

Cited By ~ 1

Author(s):

Thorsten Kattelans ◽

Wilhelm Heinrichs ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Least Squares ◽

Collocation Method ◽

Stokes Equations ◽

Momentum Conservation ◽

Time Dependent ◽

Spectral Collocation Method ◽

Spectral Collocation

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A spectral collocation method for the Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(85)90061-0 ◽

1985 ◽

Vol 61 (1) ◽

pp. 64-88 ◽

Cited By ~ 70

Author(s):

M.R Malik ◽

T.A Zang ◽

M.Y Hussaini

Keyword(s):

Collocation Method ◽

Stokes Equations ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations

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Approximate solution of stochastic Volterra integro-differential equations by using moving least squares scheme and spectral collocation method

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126447 ◽

2021 ◽

Vol 410 ◽

pp. 126447

Author(s):

Farshid Mirzaee ◽

Erfan Solhi ◽

Shiva Naserifar

Keyword(s):

Approximate Solution ◽

Differential Equations ◽

Least Squares ◽

Collocation Method ◽

Spectral Collocation Method ◽

Moving Least Squares ◽

Spectral Collocation

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Simulation of the Navier-Stokes equations in three dimensions with a spectral collocation method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3788 ◽

2013 ◽

Vol 73 (2) ◽

pp. 103-129 ◽

Cited By ~ 32

Author(s):

Christopher J. Subich ◽

Kevin G. Lamb ◽

Marek Stastna

Keyword(s):

Collocation Method ◽

Stokes Equations ◽

Three Dimensions ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations

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Accurate computations of compressible Navier-Stokes equations by the spectral collocation method.

The Journal of the Japan Society of Aeronautical Engineering ◽

10.2322/jjsass1969.38.232 ◽

1990 ◽

Vol 38 (436) ◽

pp. 232-240 ◽

Cited By ~ 1

Author(s):

Jian-Ping WANG ◽

Yoshiaki NAKAMURA ◽

Michiru YASUHARA

Keyword(s):

Collocation Method ◽

Stokes Equations ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

Accurate Computations

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Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra–Fredholm integral equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.11.013 ◽

2021 ◽

Vol 161 ◽

pp. 275-285

Author(s):

Farshid Mirzaee ◽

Erfan Solhi ◽

Nasrin Samadyar

Keyword(s):

Least Squares ◽

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Moving Least Squares ◽

Fredholm Integral Equations ◽

Spectral Collocation

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A linearized spectral collocation method for Riesz space fractional nonlinear reaction‐diffusion equations

Computational and Mathematical Methods ◽

10.1002/cmm4.1177 ◽

2021 ◽

Author(s):

Mustafa Almushaira

Keyword(s):

Collocation Method ◽

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Nonlinear Reaction

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Spectral collocation method for stochastic partial differential equations with fractional Brownian motion

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113369 ◽

2021 ◽

pp. 113369

Author(s):

Mahdieh Arezoomandan ◽

Ali R. Soheili

Keyword(s):

Brownian Motion ◽

Partial Differential Equations ◽

Differential Equations ◽

Fractional Brownian Motion ◽

Collocation Method ◽

Stochastic Partial Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential

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