A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(91)90145-v ◽

1991 ◽

Vol 87 (1) ◽

pp. 35-58 ◽

Author(s):

Farzin Shakib ◽

Thomas J.R. Hughes

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Fourier Analysis ◽

Least Squares ◽

Finite Element Formulation ◽

Element Formulation

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A space-time coupledp-version least-squares finite element formulation for unsteady fluid dynamics problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620372008 ◽

1994 ◽

Vol 37 (20) ◽

pp. 3545-3569 ◽

Author(s):

Brent C. Bell ◽

Karan S. Surana

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Least Squares ◽

Finite Element Formulation ◽

Element Formulation ◽

Unsteady Fluid Dynamics ◽

Unsteady Fluid ◽

Dynamics Problems

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A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(89)90111-4 ◽

1989 ◽

Vol 73 (2) ◽

pp. 173-189 ◽

Author(s):

Thomas J.R. Hughes ◽

Leopoldo P. Franca ◽

Gregory M. Hulbert

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Least Squares ◽

Least Squares Method ◽

Finite Element Formulation ◽

Element Formulation

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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 new finite element formulation for computational fluid dynamics: VII. The stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90184-8 ◽

1987 ◽

Vol 65 (1) ◽

pp. 85-96 ◽

Author(s):

Thomas J.R. Hughes ◽

Leopoldo P. Franca

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Boundary Conditions ◽

Stokes Problem ◽

Finite Element Formulation ◽

Element Formulation ◽

Velocity Pressure ◽

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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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A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90152-0 ◽

1986 ◽

Vol 58 (3) ◽

pp. 305-328 ◽

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Diffusive Systems

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A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90153-2 ◽

1986 ◽

Vol 58 (3) ◽

pp. 329-336 ◽

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Diffusive Systems

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A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90025-3 ◽

1986 ◽

Vol 59 (1) ◽

pp. 85-99 ◽

Author(s):

Thomas J.R. Hughes ◽

Leopoldo P. Franca ◽

Marc Balestra

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Stokes Problem ◽

Finite Element Formulation ◽

Element Formulation ◽

Galerkin Formulation

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A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90093-4 ◽

1987 ◽

Vol 62 (1) ◽

pp. 111 ◽

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Stokes Problem ◽

Finite Element Formulation ◽

Element Formulation ◽

Galerkin Formulation

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Finite Element Formulation for Computational Fluid Dynamics Framed Within the Bond Graph Theory

Bond Graphs for Modelling, Control and Fault Diagnosis of Engineering Systems ◽

10.1007/978-3-319-47434-2_9 ◽

2017 ◽

pp. 311-358

Author(s):

Jorge Luis Baliño

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Graph Theory ◽

Finite Element Formulation ◽

Element Formulation ◽

Bond Graph Theory

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