Spectral/hp penalty least-squares finite element formulation for the steady incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2005.10.033 ◽

2006 ◽

Vol 215 (1) ◽

pp. 274-297 ◽

Author(s):

V. Prabhakar ◽

J.N. Reddy

Keyword(s):

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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Space–time coupled spectral/hp least-squares finite element formulation for the incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2003.11.030 ◽

2004 ◽

Vol 197 (2) ◽

pp. 418-459 ◽

Author(s):

J.P. Pontaza ◽

J.N. Reddy

Keyword(s):

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(96)01222-4 ◽

1997 ◽

Vol 146 (1-2) ◽

pp. 91-126 ◽

Author(s):

Arif Masud ◽

Thomas J.R. Hughes

Keyword(s):

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

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Spectral/hp least-squares finite element formulation for the Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00296-1 ◽

2003 ◽

Vol 190 (2) ◽

pp. 523-549 ◽

Author(s):

J.P. Pontaza ◽

J.N. Reddy

Keyword(s):

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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A SPACE-TIME COUPLED p-VERSION LEAST SQUARES FINITE ELEMENT FORMULATION FOR UNSTEADY TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19960815)39:15<2593::aid-nme968>3.0.co;2-2 ◽

1996 ◽

Vol 39 (15) ◽

pp. 2593-2618 ◽

Author(s):

B. C. BELL ◽

K. S. SURANA

Keyword(s):

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Two Dimensional ◽

Navier Stokes Equations

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On a reduced mixed s-v least-squares finite element formulation for the incompressible Navier-Stokes equations

PAMM ◽

10.1002/pamm.201210216 ◽

2012 ◽

Vol 12 (1) ◽

pp. 455-456 ◽

Author(s):

Alexander Schwarz ◽

Jörg Schröder

Keyword(s):

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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A Tri-Tree multigrid recoarsement algorithm for the finite element formulation of the Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00966-3 ◽

1996 ◽

Vol 135 (1-2) ◽

pp. 129-142 ◽

Author(s):

S.Ø. Wille

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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A stream function-vorticity finite element formulation for Navier-Stokes equations in multi-connected domain

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620190909 ◽

1983 ◽

Vol 19 (9) ◽

pp. 1403-1409 ◽

Author(s):

Akira Mizukami

Keyword(s):

Finite Element ◽

Stream Function ◽

Connected Domain ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.182 ◽

2001 ◽

Vol 37 (4) ◽

pp. 419-444 ◽

Author(s):

Ramon Codina ◽

Jordi Blasco ◽

Gustavo C. Buscaglia ◽

Antonio Huerta

Keyword(s):

Finite Element ◽

Pressure Gradient ◽

Stokes Equations ◽

Gradient Projection ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Stabilized Finite Element

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An implicit monolithic formulation based on finite element formulation for incompressible Navier–Stokes equations

Journal of the Brazilian Society of Mechanical Sciences and Engineering ◽

10.1007/s40430-014-0155-x ◽

2014 ◽

Vol 37 (1) ◽

pp. 199-210 ◽

Author(s):

A. R. E. Antunes ◽

P. R. M. Lyra ◽

R. B. Willmersdorf ◽

S. M. A. Bastos

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Monolithic Formulation

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The continuous adjoint approach applied to the stabilized finite-element formulation of the incompressible Navier-Stokes equations

10.29008/etc2019-242 ◽

2019 ◽

Author(s):

Bart Janssens ◽

Pierre Vandenschrick ◽

Kasper Stevens ◽

Giacomo Alessi

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Adjoint Approach ◽

Continuous Adjoint

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