Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations

Yinnian He; Liquan Mei; Yueqiang Shang; Juan Cui

doi:10.1007/s10915-010-9371-4

Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations

Journal of Scientific Computing ◽

10.1007/s10915-010-9371-4 ◽

2010 ◽

Vol 44 (1) ◽

pp. 92-106 ◽

Cited By ~ 37

Author(s):

Yinnian He ◽

Liquan Mei ◽

Yueqiang Shang ◽

Juan Cui

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Parallel Finite Element ◽

Element Algorithm

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A new parallel finite element algorithm for the stationary Navier–Stokes equations

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2011.06.001 ◽

2011 ◽

Vol 47 (11) ◽

pp. 1262-1279 ◽

Cited By ~ 22

Author(s):

Yueqiang Shang ◽

Yinnian He ◽

Do Wan Kim ◽

Xiaojun Zhou

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Parallel Finite Element ◽

Stationary Navier Stokes Equations ◽

Element Algorithm

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PASTIS-3D — A Parallel Finite Element Projection Code for the Time- Dependent Incompressible Navier-Stokes Equations

Numerical methods for the Navier-Stokes equations ◽

10.1007/978-3-663-14007-8_4 ◽

1994 ◽

pp. 31-39

Author(s):

Helmut Daniels ◽

Alexander Peters

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Parallel Finite Element

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Local and parallel finite element algorithms based on two-grid discretization for steady Navier-Stokes equations

Applied Mathematics and Mechanics ◽

10.1007/s10483-007-0104-x ◽

2007 ◽

Vol 28 (1) ◽

pp. 27-35 ◽

Cited By ~ 37

Author(s):

Fei-yao Ma ◽

Yi-chen Ma ◽

Wei-feng Wo

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Parallel Finite Element

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A block iterative finite element algorithm for numerical solution of the steady-state, compressible Navier-Stokes equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620111210 ◽

1977 ◽

Vol 11 (12) ◽

pp. 1879-1892

Author(s):

Charlie H. Cooke ◽

Doris K. Blanchard

Keyword(s):

Finite Element ◽

Steady State ◽

Numerical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Algorithm

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Parallel Finite Element Methods for the Incompressible Navier-Stokes Equations

Notes on Numerical Fluid Mechanics (NNFM) - Flow Simulation with High-Performance Computers II ◽

10.1007/978-3-322-89849-4_3 ◽

1996 ◽

pp. 20-33 ◽

Cited By ~ 5

Author(s):

O. Dorok ◽

V. John ◽

U. Risch ◽

F. Schieweck ◽

L. Tobiska

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Parallel Finite Element

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A characteristic/finite element algorithm for the 3-D Navier–Stokes equations using unstructured grids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00003-1 ◽

1999 ◽

Vol 178 (1-2) ◽

pp. 39-50 ◽

Cited By ~ 41

Author(s):

P.D. Minev ◽

C. Ross Ethier

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Characteristic Finite Element ◽

Element Algorithm

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A parallel finite element variational multiscale method for the Navier-Stokes equations with nonlinear slip boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.06.004 ◽

2021 ◽

Author(s):

Hongtao Ran ◽

Bo Zheng ◽

Yueqiang Shang

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Variational Multiscale Method ◽

Navier Stokes Equations ◽

Variational Multiscale ◽

Slip Boundary ◽

Parallel Finite Element ◽

Nonlinear Slip Boundary Conditions

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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 ◽

Cited By ~ 10

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 higher order finite element algorithm for the unsteady Navier-Stokes equations

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(80)90007-5 ◽

1980 ◽

Vol 22 (2) ◽

pp. 127-132

Author(s):

Charlie H. Cooke ◽

Doris K. Blanchard

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Higher Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Algorithm

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A Fully-Coupled Finite Element Algorithm, Using Direct and Iterative Solvers, for the Incompressible Navier-Stokes Equations

Incompressible Computational Fluid Dynamics ◽

10.1017/cbo9780511574856.007 ◽

1993 ◽

pp. 151-182 ◽

Cited By ~ 5

Author(s):

W. G. Habashi ◽

M. F. Peeters ◽

M. P. Robichaud ◽

V-N. Nguyen

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Iterative Solvers ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Fully Coupled ◽

Element Algorithm

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