A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements

C. Vincent; R. Boyer

doi:10.1002/fld.1650140304

A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650140304 ◽

1992 ◽

Vol 14 (3) ◽

pp. 289-298 ◽

Cited By ~ 19

Author(s):

C. Vincent ◽

R. Boyer

Keyword(s):

Finite Elements ◽

Conjugate Gradient ◽

Stokes Problem ◽

Preconditioned Conjugate Gradient ◽

Stabilized Finite Elements ◽

Type Method

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Nonlinear preconditioned conjugate gradient and least-squares finite elements

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90020-x ◽

1987 ◽

Vol 62 (2) ◽

pp. 145-154 ◽

Cited By ~ 20

Author(s):

G.F. Carey ◽

B.-N. Jiang

Keyword(s):

Finite Elements ◽

Least Squares ◽

Conjugate Gradient ◽

Preconditioned Conjugate Gradient

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Acceleration of an Element-by-Element Preconditioned Conjugate Gradient Solver for Three-Dimensional Tetrahedral Finite Elements using Field Programmable Gate Arrays

Proceedings of the Sixth International Conference on Engineering Computational Technology ◽

10.4203/ccp.89.2 ◽

2009 ◽

Author(s):

J. Hu ◽

S.F. Quigley ◽

A.H.C. Chan

Keyword(s):

Finite Elements ◽

Conjugate Gradient ◽

Three Dimensional ◽

Field Programmable Gate Arrays ◽

Preconditioned Conjugate Gradient ◽

Gate Arrays ◽

Field Programmable ◽

Programmable Gate Arrays ◽

Conjugate Gradient Solver

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Stability of time-splitting schemes for the Stokes problem with stabilized finite elements

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1031 ◽

2001 ◽

Vol 17 (6) ◽

pp. 632-656 ◽

Cited By ~ 14

Author(s):

Marco Picasso ◽

Jacques Rappaz

Keyword(s):

Finite Elements ◽

Stokes Problem ◽

Splitting Schemes ◽

Stabilized Finite Elements ◽

Time Splitting

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Finite volume method based on stabilized finite elements for the nonstationary Navier–Stokes problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20216 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1167-1191 ◽

Cited By ~ 12

Author(s):

Guoliang He ◽

Yinnian He ◽

Xinlong Feng

Keyword(s):

Finite Elements ◽

Finite Volume Method ◽

Finite Volume ◽

Stokes Problem ◽

Navier Stokes ◽

Stabilized Finite Elements ◽

Volume Method

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On the preconditioned conjugate gradient solution of a Stokes problem with Robin-type boundary conditions

Comptes Rendus Mathematique ◽

10.1016/j.crma.2009.05.014 ◽

2009 ◽

Vol 347 (15-16) ◽

pp. 903-908 ◽

Cited By ~ 1

Author(s):

Roland Glowinski ◽

Giovanna Guidoboni

Keyword(s):

Boundary Conditions ◽

Conjugate Gradient ◽

Stokes Problem ◽

Preconditioned Conjugate Gradient ◽

Gradient Solution ◽

Type Boundary

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An element-by-element preconditioned Conjugate Gradient solver of 3D tetrahedral finite elements on an FPGA coprocessor

2008 International Conference on Field Programmable Logic and Applications ◽

10.1109/fpl.2008.4630012 ◽

2008 ◽

Author(s):

Jing Hu ◽

Steven F. Quigley ◽

Andrew Chan

Keyword(s):

Finite Elements ◽

Conjugate Gradient ◽

Preconditioned Conjugate Gradient ◽

Conjugate Gradient Solver

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Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the stokes problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(90)90095-4 ◽

1990 ◽

Vol 79 (1) ◽

pp. 71-86 ◽

Cited By ~ 84

Author(s):

D.J. Silvester ◽

N. Kechkar

Keyword(s):

Finite Elements ◽

Conjugate Gradient ◽

Constant Velocity ◽

Stokes Problem ◽

Gradient Solution ◽

Velocity Pressure

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An adaptive algorithm for the Stokes problem using continuous, piecewise linear stabilized finite elements and meshes with high aspect ratio

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.09.014 ◽

2005 ◽

Vol 54 (3-4) ◽

pp. 470-490 ◽

Cited By ~ 6

Author(s):

M. Picasso

Keyword(s):

Finite Elements ◽

Aspect Ratio ◽

High Aspect Ratio ◽

Adaptive Algorithm ◽

Stokes Problem ◽

Piecewise Linear ◽

Stabilized Finite Elements

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GPU-based preconditioned conjugate gradient method for solving sparse linear systems

Journal of Computer Applications ◽

10.3724/sp.j.1087.2013.00825 ◽

2013 ◽

Vol 33 (3) ◽

pp. 825-829 ◽

Cited By ~ 2

Author(s):

Jianfei ZHANG ◽

Defei SHEN

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Sparse Linear Systems

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Pipelined Preconditioned Conjugate Gradient Methods for Distributed Memory Systems

2020 IEEE 27th International Conference on High Performance Computing, Data, and Analytics (HiPC) ◽

10.1109/hipc50609.2020.00029 ◽

2020 ◽

Author(s):

Manasi Tiwari ◽

Sathish Vadhiyar

Keyword(s):

Conjugate Gradient ◽

Distributed Memory ◽

Gradient Methods ◽

Memory Systems ◽

Preconditioned Conjugate Gradient ◽

Conjugate Gradient Methods ◽

Preconditioned Conjugate Gradient Methods

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