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 ◽

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 ◽

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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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 ◽

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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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 ◽

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 ◽

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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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 ◽

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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A Least‐Squares Spectral Collocation Scheme with Improved Stability for the Stokes and the Navier‐Stokes Equations

10.1063/1.2990919 ◽

2008 ◽

Author(s):

Thorsten Kattelans ◽

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Stokes Equations ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

Improved Stability ◽

Collocation Scheme

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Least-Squares Spectral Collocation for the Navier–Stokes Equations

Journal of Scientific Computing ◽

10.1023/b:jomp.0000027956.13510.5a ◽

2004 ◽

Vol 21 (1) ◽

pp. 81-90 ◽

Author(s):

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Stokes Equations ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations

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A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2008.01.025 ◽

2008 ◽

Vol 227 (9) ◽

pp. 4776-4796 ◽

Author(s):

Wilhelm Heinrichs ◽

Thorsten Kattelans

Keyword(s):

Least Squares ◽

Stokes Equations ◽

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 ◽

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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Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier–Stokes equations

Numerical Algorithms ◽

10.1007/s11075-006-9039-1 ◽

2006 ◽

Vol 43 (1) ◽

pp. 61-73 ◽

Author(s):

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Stokes Equations ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

Schwarz Method ◽

Overlapping Schwarz

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