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Author ID: gresho.philip-m Recent zbMATH articles by "Gresho, Philip M."
Published as: Gresho, Philip M.; Gresho, P. M.; Gresho, P.

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 1,839 times in 1,456 Documents Cited by Year
Incompressible flow and the finite element method. Advection-diffusion and isothermal laminar flow. In collaboration with M. S. Engelman. Zbl 0941.76002
Gresho, P. M.; Sani, R. L.
184
1998
On pressure boundary conditions for the incompressible Navier-Stokes equations. Zbl 0644.76025
Gresho, Philip M.; Sani, Robert L.
172
1987
Incompressible flow and the finite element method. Vol. 1: Advection-diffusion. Vol. 2: Isothermal laminar flow. Zbl 0988.76005
Gresho, P. M.; Sani, R. L.
138
2000
Incompressible fluid dynamics: Some fundamental formulation issues. Zbl 0717.76006
Gresho, P. M.
121
1991
On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. I: Theory. Zbl 0712.76035
Gresho, Philip M.
106
1990
On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. II: Implementation. Zbl 0712.76036
Gresho, Philip M.; Chan, Stevens T.
93
1990
Résumé and remarks on the open boundary condition minisymposium. Zbl 0806.76072
Sani, R. L.; Gresho, P. M.
79
1994
Some current CFD issues relevant to the incompressible Navier-Stokes equations. Zbl 0760.76018
Gresho, P. M.
64
1991
The effects of gravity modulation on the stability of a heated fluid layer. Zbl 0191.56502
Gresho, P. M.; Sani, R. L.
61
1970
Is the steady viscous incompressible two-dimensional flow over a backward-facing step at \(Re=800\) stable? Zbl 0784.76050
Gresho, Philip M.; Gartling, David K.; Torczynski, J. R.; Cliffe, K. A.; Winters, K. H.; Garratt, T. J.; Spence, A.; Goodrich, John W.
59
1993
Don’t suppress the wiggles - they’re telling you something. Zbl 0436.76065
Gresho, P. M.; Lee, R. L.
59
1979
The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations. I. Zbl 0461.76021
Sani, R. L.; Gresho, P. M.; Lee, R. L.; Griffiths, D. F.
56
1981
The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow. Zbl 0501.76001
Engelman, M. S.; Sani, R. L.; Gresho, P. M.
50
1982
A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. I: Theory. Zbl 0559.76030
Gresho, Philip M.; Chan, Stevens T.; Lee, Robert L.; Upson, Craig D.
50
1984
The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation. Zbl 0558.76089
Hindmarsh, A. C.; Gresho, P. M.; Griffiths, D. F.
49
1984
Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. Zbl 1155.76322
Sani, R. L.; Shen, J.; Pironneau, O.; Gresho, P. M.
42
2006
The cause and cure (!) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations. II. Zbl 0461.76022
Sani, R. L.; Gresho, P. M.; Lee, R. L.; Griffiths, D. F.; Engelman, M.
42
1981
Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements. Zbl 0483.76013
Engelman, M. S.; Sani, R. L.; Gresho, P. M.; Bercovier, M.
42
1982
Computational predictability of time-dependent natural convection flows in enclosures (including a benchmark solution). Zbl 1025.76042
Christon, Mark A.; Gresho, Philip M.; Sutton, Steven B.
40
2002
A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. II: Applications. Zbl 0559.76031
Gresho, Philip M.; Chan, Stevens T.; Lee, Robert L.; Upson, Craig D.
40
1984
On the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations. Zbl 0446.76034
Sani, R. L.; Gresho, P. M.; Lee, R. L.
29
1980
Adaptive time-stepping for incompressible flow. II: Navier-Stokes equations. Zbl 1410.76293
Kay, David A.; Gresho, Philip M.; Griffiths, David F.; Silvester, David J.
25
2010
Some interesting issues in incompressible fluid dynamics, both in the continuum and in numerical simulation. Zbl 0741.76011
Gresho, P. M.
25
1992
A comparison of various mixed-interpolation finite elements in the velocity-pressure formulation of the Navier-Stokes equations. Zbl 0381.76024
Huyakorn, P. S.; Taylor, C.; Lee, R. L.; Gresho, P. M.
23
1978
Smoothing techniques for certain primitive variable solutions of the Navier-Stokes equations. Zbl 0426.76035
Lee, Robert L.; Gresho, Philip M.; Sani, Robert L.
23
1979
Advection-dominated flows, with emphasis on the consequences of mass lumping. Zbl 0442.76067
Gresho, P. M.; Lee, R. L.; Sani, R. L.
22
1976
The consistent Galerkin FEM for computing derived boundary quantities in thermal and/or fluids problems. Zbl 0629.76095
Gresho, Philip M.; Lee, Robert L.; Sani, Robert L.; Maslanik, Miriam K.; Eaton, Brian E.
18
1987
Adaptive time-stepping for incompressible flow. I: Scalar advection-diffusion. Zbl 1167.76026
Gresho, Philip M.; Griffiths, David F.; Silvester, David J.
18
2008
On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions. Zbl 0474.76038
Gresho, Philip M.; Lee, Robert L.
15
1980
Solution of the time-dependent incompressible Navier-Stokes and Boussinesq equations using the Galerkin finite element method. Zbl 0428.76026
Gresho, Philip M.; Lee, Robert L.; Chan, Stevens T.; Sani, Robert L.
15
1980
A little more on stabilized \(Q_ 1Q_ 1\) for transient viscous incompressible flow. Zbl 0862.76034
Gresho, P. M.; Chan, S. T.; Christon, M. A.; Hindmarsh, A. C.
11
1995
A new finite element for incompressible or Boussinesq fluids. Zbl 0447.76026
Gresho, P. M.; Lee, R. L.; Chan, S. T.; Leone, J. M. jun.
11
1980
The stability of a fluid layer subjected to a step change in temperature: transient vs. frozen time analyses. Zbl 0218.76053
Gresho, P. M.; Sani, R. L.
11
1971
Finite element simulations of steady, two-dimensional, viscous incompressible flow over a step. Zbl 0464.76038
Leone, John M. jun.; Gresho, Philip M.
9
1981
Recent progress in the solution of the time-dependent, three-dimensional, incompressible Navier-Stokes equations. Zbl 0506.76022
Gresho, P. M.; Upson, C. D.; Chan, S. T.; Lee, R. L.
7
1982
A thermal convection simulation in three dimensions by a modified finite element method. Zbl 0515.76033
Upson, C. D.; Gresho, P. M.; Sani, R. L.; Chan, S. T.; Lee, R. L.
5
1983
A comparison of several conservative forms for finite element formulations of the incompressible Navier-Stokes or Boussinesq equations. Zbl 0452.76029
Lee, Robert L.; Gresho, Philip M.; Chan, Stevens T.; Sani, Robert L.
3
1980
A note on the accuracy of Gauss-Legendre quadrature in the finite element method. Zbl 0397.65019
Leone, John M. jun.; Gresho, Philip M.; Chan, Stevens T.; Lee, Robert L.
3
1979
Solution of the time-dependent, three dimensional incompressible Navier- Stokes equations via FEM. Zbl 0487.76037
Gresho, Philip M.; Chan, Stevens T. K.; Lee, Robert L.; Upson, Craig D.
3
1981
On the solution of the time-dependent incompressible Navier-Stokes equations via a penalty Galerkin finite element method. Zbl 0487.76038
Sani, Robert L.; Eaton, Brian E.; Gresho, Philip M.; Lee, Robert L.; Chan, Stevens T.
3
1981
Application of the FIDAP code to the 8:1 thermal cavity problem. Zbl 1047.76532
Gresho, P. M.; Sutton, S. B.
2
2002
Solution of the multi-dimensional, incompressible Navier-Stokes equations using low-order finite elements and one-point quadrature. Zbl 0506.76105
Chan, S. T.; Gresho, P. M.
2
1982
Numerical methods in laminar and turbulent flow. Volume 6, Part 1, 2. Proceedings of the sixth international conference, held in Swansea, UK, 11th-15th July, 1989. Zbl 0726.00021
2
1989
Projection 2 goes turbulent – and fully implicit. Zbl 0917.76036
Gresho, P. M.; Chan, S. T.
1
1998
A remark on pressure correction schemes for transient viscous incompressible flow. Zbl 0916.76059
Minev, P. D.; Gresho, P. M.
1
1998
Comments on ‘The group velocity of some numerical schemes’. Zbl 0641.76001
Gresho, Philip M.; Lee, Robert L.
1
1987
Simulation of liquified natural gas (LNG) vapour spread and dispersion by finite element methods. Zbl 0447.76087
Chan, Stevens T.; Gresho, Philip M.; Lee, Robert L.
1
1980
Partial vindication of the bilinear velocity, piecewise constant pressure element. Zbl 0582.76030
Gresho, P. M.; Lee, R. L.
1
1985
Comments on: ”The significance of chequerboarding in a Galerkin finite element solution of the Navier-Stokes equations. Zbl 0489.76041
Gresho, P. M.
1
1982
Flow-through boundary conditions for time-dependent, buoyancy-influenced flow simulations using low order finite elements. Zbl 0549.76068
Leone, J. M. jun.; Gresho, P. M.; Lee, R. L.; Sani, R. L.
1
1983
Adaptive time-stepping for incompressible flow. II: Navier-Stokes equations. Zbl 1410.76293
Kay, David A.; Gresho, Philip M.; Griffiths, David F.; Silvester, David J.
25
2010
Adaptive time-stepping for incompressible flow. I: Scalar advection-diffusion. Zbl 1167.76026
Gresho, Philip M.; Griffiths, David F.; Silvester, David J.
18
2008
Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. Zbl 1155.76322
Sani, R. L.; Shen, J.; Pironneau, O.; Gresho, P. M.
42
2006
Computational predictability of time-dependent natural convection flows in enclosures (including a benchmark solution). Zbl 1025.76042
Christon, Mark A.; Gresho, Philip M.; Sutton, Steven B.
40
2002
Application of the FIDAP code to the 8:1 thermal cavity problem. Zbl 1047.76532
Gresho, P. M.; Sutton, S. B.
2
2002
Incompressible flow and the finite element method. Vol. 1: Advection-diffusion. Vol. 2: Isothermal laminar flow. Zbl 0988.76005
Gresho, P. M.; Sani, R. L.
138
2000
Incompressible flow and the finite element method. Advection-diffusion and isothermal laminar flow. In collaboration with M. S. Engelman. Zbl 0941.76002
Gresho, P. M.; Sani, R. L.
184
1998
Projection 2 goes turbulent – and fully implicit. Zbl 0917.76036
Gresho, P. M.; Chan, S. T.
1
1998
A remark on pressure correction schemes for transient viscous incompressible flow. Zbl 0916.76059
Minev, P. D.; Gresho, P. M.
1
1998
A little more on stabilized \(Q_ 1Q_ 1\) for transient viscous incompressible flow. Zbl 0862.76034
Gresho, P. M.; Chan, S. T.; Christon, M. A.; Hindmarsh, A. C.
11
1995
Résumé and remarks on the open boundary condition minisymposium. Zbl 0806.76072
Sani, R. L.; Gresho, P. M.
79
1994
Is the steady viscous incompressible two-dimensional flow over a backward-facing step at \(Re=800\) stable? Zbl 0784.76050
Gresho, Philip M.; Gartling, David K.; Torczynski, J. R.; Cliffe, K. A.; Winters, K. H.; Garratt, T. J.; Spence, A.; Goodrich, John W.
59
1993
Some interesting issues in incompressible fluid dynamics, both in the continuum and in numerical simulation. Zbl 0741.76011
Gresho, P. M.
25
1992
Incompressible fluid dynamics: Some fundamental formulation issues. Zbl 0717.76006
Gresho, P. M.
121
1991
Some current CFD issues relevant to the incompressible Navier-Stokes equations. Zbl 0760.76018
Gresho, P. M.
64
1991
On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. I: Theory. Zbl 0712.76035
Gresho, Philip M.
106
1990
On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. II: Implementation. Zbl 0712.76036
Gresho, Philip M.; Chan, Stevens T.
93
1990
Numerical methods in laminar and turbulent flow. Volume 6, Part 1, 2. Proceedings of the sixth international conference, held in Swansea, UK, 11th-15th July, 1989. Zbl 0726.00021
2
1989
On pressure boundary conditions for the incompressible Navier-Stokes equations. Zbl 0644.76025
Gresho, Philip M.; Sani, Robert L.
172
1987
The consistent Galerkin FEM for computing derived boundary quantities in thermal and/or fluids problems. Zbl 0629.76095
Gresho, Philip M.; Lee, Robert L.; Sani, Robert L.; Maslanik, Miriam K.; Eaton, Brian E.
18
1987
Comments on ‘The group velocity of some numerical schemes’. Zbl 0641.76001
Gresho, Philip M.; Lee, Robert L.
1
1987
Partial vindication of the bilinear velocity, piecewise constant pressure element. Zbl 0582.76030
Gresho, P. M.; Lee, R. L.
1
1985
A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. I: Theory. Zbl 0559.76030
Gresho, Philip M.; Chan, Stevens T.; Lee, Robert L.; Upson, Craig D.
50
1984
The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation. Zbl 0558.76089
Hindmarsh, A. C.; Gresho, P. M.; Griffiths, D. F.
49
1984
A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. II: Applications. Zbl 0559.76031
Gresho, Philip M.; Chan, Stevens T.; Lee, Robert L.; Upson, Craig D.
40
1984
A thermal convection simulation in three dimensions by a modified finite element method. Zbl 0515.76033
Upson, C. D.; Gresho, P. M.; Sani, R. L.; Chan, S. T.; Lee, R. L.
5
1983
Flow-through boundary conditions for time-dependent, buoyancy-influenced flow simulations using low order finite elements. Zbl 0549.76068
Leone, J. M. jun.; Gresho, P. M.; Lee, R. L.; Sani, R. L.
1
1983
The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow. Zbl 0501.76001
Engelman, M. S.; Sani, R. L.; Gresho, P. M.
50
1982
Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements. Zbl 0483.76013
Engelman, M. S.; Sani, R. L.; Gresho, P. M.; Bercovier, M.
42
1982
Recent progress in the solution of the time-dependent, three-dimensional, incompressible Navier-Stokes equations. Zbl 0506.76022
Gresho, P. M.; Upson, C. D.; Chan, S. T.; Lee, R. L.
7
1982
Solution of the multi-dimensional, incompressible Navier-Stokes equations using low-order finite elements and one-point quadrature. Zbl 0506.76105
Chan, S. T.; Gresho, P. M.
2
1982
Comments on: ”The significance of chequerboarding in a Galerkin finite element solution of the Navier-Stokes equations. Zbl 0489.76041
Gresho, P. M.
1
1982
The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations. I. Zbl 0461.76021
Sani, R. L.; Gresho, P. M.; Lee, R. L.; Griffiths, D. F.
56
1981
The cause and cure (!) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations. II. Zbl 0461.76022
Sani, R. L.; Gresho, P. M.; Lee, R. L.; Griffiths, D. F.; Engelman, M.
42
1981
Finite element simulations of steady, two-dimensional, viscous incompressible flow over a step. Zbl 0464.76038
Leone, John M. jun.; Gresho, Philip M.
9
1981
Solution of the time-dependent, three dimensional incompressible Navier- Stokes equations via FEM. Zbl 0487.76037
Gresho, Philip M.; Chan, Stevens T. K.; Lee, Robert L.; Upson, Craig D.
3
1981
On the solution of the time-dependent incompressible Navier-Stokes equations via a penalty Galerkin finite element method. Zbl 0487.76038
Sani, Robert L.; Eaton, Brian E.; Gresho, Philip M.; Lee, Robert L.; Chan, Stevens T.
3
1981
On the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations. Zbl 0446.76034
Sani, R. L.; Gresho, P. M.; Lee, R. L.
29
1980
On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions. Zbl 0474.76038
Gresho, Philip M.; Lee, Robert L.
15
1980
Solution of the time-dependent incompressible Navier-Stokes and Boussinesq equations using the Galerkin finite element method. Zbl 0428.76026
Gresho, Philip M.; Lee, Robert L.; Chan, Stevens T.; Sani, Robert L.
15
1980
A new finite element for incompressible or Boussinesq fluids. Zbl 0447.76026
Gresho, P. M.; Lee, R. L.; Chan, S. T.; Leone, J. M. jun.
11
1980
A comparison of several conservative forms for finite element formulations of the incompressible Navier-Stokes or Boussinesq equations. Zbl 0452.76029
Lee, Robert L.; Gresho, Philip M.; Chan, Stevens T.; Sani, Robert L.
3
1980
Simulation of liquified natural gas (LNG) vapour spread and dispersion by finite element methods. Zbl 0447.76087
Chan, Stevens T.; Gresho, Philip M.; Lee, Robert L.
1
1980
Don’t suppress the wiggles - they’re telling you something. Zbl 0436.76065
Gresho, P. M.; Lee, R. L.
59
1979
Smoothing techniques for certain primitive variable solutions of the Navier-Stokes equations. Zbl 0426.76035
Lee, Robert L.; Gresho, Philip M.; Sani, Robert L.
23
1979
A note on the accuracy of Gauss-Legendre quadrature in the finite element method. Zbl 0397.65019
Leone, John M. jun.; Gresho, Philip M.; Chan, Stevens T.; Lee, Robert L.
3
1979
A comparison of various mixed-interpolation finite elements in the velocity-pressure formulation of the Navier-Stokes equations. Zbl 0381.76024
Huyakorn, P. S.; Taylor, C.; Lee, R. L.; Gresho, P. M.
23
1978
Advection-dominated flows, with emphasis on the consequences of mass lumping. Zbl 0442.76067
Gresho, P. M.; Lee, R. L.; Sani, R. L.
22
1976
The stability of a fluid layer subjected to a step change in temperature: transient vs. frozen time analyses. Zbl 0218.76053
Gresho, P. M.; Sani, R. L.
11
1971
The effects of gravity modulation on the stability of a heated fluid layer. Zbl 0191.56502
Gresho, P. M.; Sani, R. L.
61
1970
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196 Computer Methods in Applied Mechanics and Engineering
123 International Journal for Numerical Methods in Fluids
122 Computers and Fluids
67 Journal of Fluid Mechanics
37 Journal of Computational and Applied Mathematics
32 Computers & Mathematics with Applications
31 Applied Numerical Mathematics
29 Journal of Scientific Computing
28 Physics of Fluids
27 International Journal for Numerical Methods in Engineering
26 International Journal of Computational Fluid Dynamics
23 Communications in Numerical Methods in Engineering
19 Applied Mathematics and Computation
17 Applied Mathematical Modelling
17 SIAM Journal on Scientific Computing
17 International Journal of Numerical Methods for Heat & Fluid Flow
16 Computational Mechanics
14 Numerische Mathematik
12 Journal of Mathematical Analysis and Applications
12 European Journal of Mechanics. B. Fluids
11 International Journal of Heat and Mass Transfer
11 Mathematics of Computation
11 Numerical Methods for Partial Differential Equations
10 Engineering Analysis with Boundary Elements
8 Mathematical Methods in the Applied Sciences
8 Theoretical and Computational Fluid Dynamics
7 Numerical Linear Algebra with Applications
7 Journal of Mathematical Fluid Mechanics
7 Archives of Computational Methods in Engineering
6 International Journal of Engineering Science
6 Mathematical Problems in Engineering
6 International Journal for Numerical Methods in Biomedical Engineering
5 SIAM Journal on Numerical Analysis
5 Physica D
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Numerical Algorithms
5 Journal of Non-Newtonian Fluid Mechanics
5 Communications in Nonlinear Science and Numerical Simulation
5 Acta Mechanica Sinica
5 Journal of Theoretical Biology
4 Computer Physics Communications
4 Physics of Fluids, A
4 BIT
4 Mathematics and Computers in Simulation
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Engineering Computations
4 Journal of Numerical Mathematics
4 Chinese Journal of Physics (Taipei)
3 Applicable Analysis
3 Journal of Engineering Mathematics
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3 Meccanica
3 Numerical Functional Analysis and Optimization
3 Applied Mathematics and Mechanics. (English Edition)
3 RAIRO. Modélisation Mathématique et Analyse Numérique
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3 International Journal of Numerical Analysis and Modeling
3 Advances in Applied Mathematics and Mechanics
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2 SIAM Journal on Matrix Analysis and Applications
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