Local and parallel finite element algorithms based on two-grid discretization for the stream function form of Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.07.067 ◽

2006 ◽

Vol 175 (1) ◽

pp. 786-813 ◽

Author(s):

Yi-chen Ma ◽

Zhi-peng Zhang ◽

Chen-feng Ren

Keyword(s):

Finite Element ◽

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form ◽

Parallel Finite Element

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A two-level finite-element discretization of the stream function form of the Navier-Stokes equations

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(98)00123-0 ◽

1998 ◽

Vol 36 (2) ◽

pp. 117-127 ◽

Author(s):

F. Fairag

Keyword(s):

Finite Element ◽

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Finite Element Discretization ◽

Navier Stokes Equations ◽

Element Discretization ◽

Stream Function Form

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Spectral method for vorticity-stream function form of Navier-Stokes equations with slip boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1549 ◽

2011 ◽

Vol 35 (3) ◽

pp. 257-267 ◽

Author(s):

Jiao Yu-jian ◽

Guo Ben-yu

Keyword(s):

Boundary Conditions ◽

Spectral Method ◽

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Function Form ◽

Navier Stokes Equations ◽

Slip Boundary ◽

Stream Function Form

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Two-level discretizations of the stream function form of the navier-stokes equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630569908816931 ◽

1999 ◽

Vol 20 (9-10) ◽

pp. 909-916 ◽

Author(s):

W. Layton ◽

X. ye

Keyword(s):

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form

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Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-017-0413-z ◽

2017 ◽

Vol 73 (1) ◽

pp. 283-302 ◽

Author(s):

Xu-hong Yu ◽

Ben-yu Guo

Keyword(s):

Boundary Conditions ◽

Spectral Method ◽

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Function Form ◽

Navier Stokes Equations ◽

Slip Boundary ◽

Stream Function Form

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Two-level method for unsteady Navier-Stokes equations in stream function form

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-005-0043-3 ◽

2005 ◽

Vol 20 (1) ◽

pp. 105-120

Author(s):

Chunfeng Ren ◽

Yichen Ma ◽

Hui Xu

Keyword(s):

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form ◽

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Two-grid error estimates for the stream function form of Navier-Stokes equations

Applied Mathematics and Mechanics ◽

10.1007/bf02456973 ◽

2002 ◽

Vol 23 (7) ◽

pp. 773-782 ◽

Author(s):

Ren Chun-feng ◽

Ma Yi-chen

Keyword(s):

Error Estimates ◽

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form

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Error estimate for a simple two-level discretization of stream function form of the Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.03.081 ◽

2012 ◽

Vol 218 (19) ◽

pp. 9943-9952

Author(s):

Xinping Shao ◽

Danfu Han

Keyword(s):

Error Estimate ◽

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form

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Two grid discretizations with backtracking of the stream function form of the Navier-Stokes equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(98)00024-1 ◽

1999 ◽

Vol 100 (2-3) ◽

pp. 131-138 ◽

Author(s):

X. Ye

Keyword(s):

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form

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Nonconforming two-level discretization of stream function form of the Navier-Stokes equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(97)81656-6 ◽

1998 ◽

Vol 89 (1-3) ◽

pp. 173-183 ◽

Author(s):

W. Layton ◽

X. Ye

Keyword(s):

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form

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On the Two-Dimensional Navier–Stokes Equations in Stream Function Form

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.5174 ◽

1997 ◽

Vol 205 (1) ◽

pp. 1-31 ◽

Author(s):

Guo Ben-Yu ◽

He Li-Ping ◽

Mao De-Kang

Keyword(s):

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Function Form ◽

Navier Stokes Equations ◽

Stream Function Form

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