-
2
-
-
0003293929
-
Asymptotic behavior of dissipative systems
-
American Mathematical Society, Providence
-
J.K. Hale, Asymptotic behavior of dissipative systems, Mathematical Surveys and Monographs, no. 25, American Mathematical Society, Providence, 1988.
-
(1988)
Mathematical Surveys and Monographs
, Issue.25
-
-
Hale, J.K.1
-
6
-
-
0015483298
-
Inéquations en thermoélasticité et magnéto-hydrodynamique
-
G. Duvaut and J.L. Lions, Inéquations en thermoélasticité et magnéto-hydrodynamique, Archive Rat. Mech. Anal. 46 (1972) 241-279.
-
(1972)
Archive Rat. Mech. Anal.
, vol.46
, pp. 241-279
-
-
Duvaut, G.1
Lions, J.L.2
-
7
-
-
84990557281
-
Some mathematical questions related to the MHD equations
-
M. Sermange and R. Temam, Some mathematical questions related to the MHD equations, Comm. Pure Appl. Math. 36 (1983) 635-664.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, pp. 635-664
-
-
Sermange, M.1
Temam, R.2
-
8
-
-
0001336644
-
Dissipativity of numerical schemes
-
C. Foias, M.S. Jolly, I.G. Kevrekidis and E.S. Titi, Dissipativity of numerical schemes, Nonlinearity 4 (1991) 591-613.
-
(1991)
Nonlinearity
, vol.4
, pp. 591-613
-
-
Foias, C.1
Jolly, M.S.2
Kevrekidis, I.G.3
Titi, E.S.4
-
9
-
-
0002607683
-
Convergence of approximate attractors for a fully discrete system for reaction-diffusion equations
-
J. Shen, Convergence of approximate attractors for a fully discrete system for reaction-diffusion equations, Numer. Funct. Anal. Optimiz. 10 (1989) 1213-1234.
-
(1989)
Numer. Funct. Anal. Optimiz.
, vol.10
, pp. 1213-1234
-
-
Shen, J.1
-
10
-
-
0041065645
-
Semi-discretized nonlinear evolution equations as discrete dynamical systems and error analysis
-
A. Eden, B. Michaux and J.M. Rakotoson, Semi-discretized nonlinear evolution equations as discrete dynamical systems and error analysis, Indiana Univ. Math. J. 39 (1990) 737-783.
-
(1990)
Indiana Univ. Math. J.
, vol.39
, pp. 737-783
-
-
Eden, A.1
Michaux, B.2
Rakotoson, J.M.3
-
11
-
-
85034931396
-
The global dynamics of discrete semilinear equations
-
IMA Preprint Series, University of Minessota, Minneapolis, to appear Dec.
-
C.M. Elliot and A.M. Stuart, The global dynamics of discrete semilinear equations, IMA Preprint Series, no. 973, University of Minessota, Minneapolis, SIAM J. Numer. Anal, to appear Dec. 1993.
-
(1993)
SIAM J. Numer. Anal
, vol.973
-
-
Elliot, C.M.1
Stuart, A.M.2
-
12
-
-
45449123467
-
Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
-
J. Ge and J.E. Marsden, Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators, Phys. Lett. A 133 (1988) 134-139.
-
(1988)
Phys. Lett. A
, vol.133
, pp. 134-139
-
-
Ge, J.1
Marsden, J.E.2
-
13
-
-
0025889111
-
Unconditionally stable algorithms for the orthogonal group that exactly preserve energy and momentum
-
J.C. Simo and K. Wong, Unconditionally stable algorithms for the orthogonal group that exactly preserve energy and momentum, Int. J. Numer. Methods Engrg. 31 (1991) 19-52.
-
(1991)
Int. J. Numer. Methods Engrg.
, vol.31
, pp. 19-52
-
-
Simo, J.C.1
Wong, K.2
-
14
-
-
34249830447
-
The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
-
J.C. Simo and N. Tarnow, The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics, ZAMM 43 (1992) 757-792.
-
(1992)
ZAMM
, vol.43
, pp. 757-792
-
-
Simo, J.C.1
Tarnow, N.2
-
15
-
-
34249765469
-
Conserving algorithm for the dynamics of Hamiltonian systems on Lie groups
-
D. Lewis and J.C. Simo, Conserving algorithm for the dynamics of Hamiltonian systems on Lie groups, J. Nonlinear Sci. 4 (1992) 253-299.
-
(1992)
J. Nonlinear Sci.
, vol.4
, pp. 253-299
-
-
Lewis, D.1
Simo, J.C.2
-
16
-
-
0006355099
-
Symplectic numerical integration of Hamiltonian systems
-
Tudor Ratiu, ed., Proc. Workshop held June 5th to 15th, 1989 Springer-Verlag, Berlin
-
C. Scovel, Symplectic Numerical integration of Hamiltonian systems, in: Tudor Ratiu, ed., The Geometry of Hamiltonian Systems, Proc. Workshop held June 5th to 15th, 1989 (Springer-Verlag, Berlin, 1991) 463-496.
-
(1991)
The Geometry of Hamiltonian Systems
, pp. 463-496
-
-
Scovel, C.1
-
17
-
-
0002129196
-
Asymptotic numerical analysis for the Navier-Stokes equations
-
G.I. Barenblatt, G. Iooss and D.D. Joseph, eds., Pitman, Boston, MA
-
C. Foias and R. Temam, Asymptotic numerical analysis for the Navier-Stokes equations, in G.I. Barenblatt, G. Iooss and D.D. Joseph, eds., Nonlinear Dynamics and Turbulence (Pitman, Boston, MA, 1983).
-
(1983)
Nonlinear Dynamics and Turbulence
-
-
Foias, C.1
Temam, R.2
-
18
-
-
0021480034
-
On the large time Galerkin approximation of the Navier-Stokes equations
-
P. Constantin, C. Foias and R. Temam, On the large time Galerkin approximation of the Navier-Stokes equations, SIAM J. Numer. Anal. 21 (1984) 615-634.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 615-634
-
-
Constantin, P.1
Foias, C.2
Temam, R.3
-
19
-
-
0022767064
-
Finite element approximation of the non-stationary Navier-Stokes problem. Part II: Stability of solutions and error estimates uniform in time
-
J.G. Heywood and R. Rannacher, Finite element approximation of the non-stationary Navier-Stokes problem. Part II: Stability of solutions and error estimates uniform in time, SIAM J. Numer. Anal. 23 (1986) 750-777.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 750-777
-
-
Heywood, J.G.1
Rannacher, R.2
-
20
-
-
0028196309
-
Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
-
J.C. Simo and F. Armero, Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations, Comput. Methods Appl. Mech. Engrg. 111 (1993) 111-154.
-
(1993)
Comput. Methods Appl. Mech. Engrg.
, vol.111
, pp. 111-154
-
-
Simo, J.C.1
Armero, F.2
-
21
-
-
0002160260
-
Electrodynamics of continuous media
-
2nd edition Pergamon Press, Oxford
-
L.D. Landau, E.M. Lifshitz and L.P. Pitaevskii, Electrodynamics of Continuous Media, Landau & Lifshitz Course of Theoretical Physics, Volume 8, 2nd edition (Pergamon Press, Oxford, 1984).
-
(1984)
Landau & Lifshitz Course of Theoretical Physics
, vol.8
-
-
Landau, L.D.1
Lifshitz, E.M.2
Pitaevskii, L.P.3
-
24
-
-
0004261457
-
-
Adam Hilger, Bristol, 1st edition, 1956
-
T.G. Cowling, Magnetohydrodynamics, 2nd edition (Adam Hilger, Bristol, 1976) (1st edition, 1956).
-
(1976)
Magnetohydrodynamics, 2nd Edition
-
-
Cowling, T.G.1
-
32
-
-
0003068173
-
Edute de diverses équations intégrales nonlinéaires et de quelques problèmes que pose l'hydrodynamique
-
J. Leray, Edute de diverses équations intégrales nonlinéaires et de quelques problèmes que pose l'hydrodynamique, J. Math. Pures Appl. 12 (1933) 1-82.
-
(1933)
J. Math. Pures Appl.
, vol.12
, pp. 1-82
-
-
Leray, J.1
-
33
-
-
0000221349
-
Essai sur les mouvement plans d'un liquide visqueux que limitent des parois
-
J. Leray, Essai sur les mouvement plans d'un liquide visqueux que limitent des parois, J. Math. Pures Appl. 13 (1934) 331-418.
-
(1934)
J. Math. Pures Appl.
, vol.13
, pp. 331-418
-
-
Leray, J.1
-
34
-
-
0003804415
-
-
English translation, 2nd edition Gordon-Breach, New York, NY
-
O. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, English translation, 2nd edition (Gordon-Breach, New York, NY, 1969).
-
(1969)
The Mathematical Theory of Viscous Incompressible Flow
-
-
Ladyzhenskaya, O.1
-
36
-
-
84990576577
-
On the regularity of the solutions of the Navier-Stokes equations
-
L. Caffarely, R. Kohn and L. Nirenberg, On the regularity of the solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 35 (1982) 771-831.
-
(1982)
Comm. Pure Appl. Math.
, vol.35
, pp. 771-831
-
-
Caffarely, L.1
Kohn, R.2
Nirenberg, L.3
-
37
-
-
0002449201
-
Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
-
C. Foias and G. Prodi, Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2, Rend. Sem. Mat. Padova 39 (1967) 1-34.
-
(1967)
Rend. Sem. Mat. Padova
, vol.39
, pp. 1-34
-
-
Foias, C.1
Prodi, G.2
-
38
-
-
0001356905
-
Sur la géometrie différentielle des groupes de lie de dimension infinie et ses applications a l'hydrodynamique des fluides perfaits
-
V.I. Arnold, Sur la géometrie différentielle des groupes de Lie de dimension infinie et ses applications a l'hydrodynamique des fluides perfaits, Annales de l'Institute Fourier, XVI(1) (1966) 319-361.
-
(1966)
Annales de l'Institute Fourier
, vol.16
, Issue.1
, pp. 319-361
-
-
Arnold, V.I.1
-
40
-
-
0001052255
-
Groups of diffeomorphisms and the motion of an incompressible fluid
-
D. Ebin and J.E. Marsden, Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. Math. 92 (1970) 102-163.
-
(1970)
Ann. Math.
, vol.92
, pp. 102-163
-
-
Ebin, D.1
Marsden, J.E.2
-
42
-
-
0003507785
-
Finite element approximation for Navier-Stokes equations
-
Springer-Verlag, Berlin
-
V. Girault and P.A. Raviart, Finite Element Approximation for Navier-Stokes Equations, Lecture Notes in Mathematics, no. 749 (Springer-Verlag, Berlin, 1979).
-
(1979)
Lecture Notes in Mathematics
, vol.749
-
-
Girault, V.1
Raviart, P.A.2
-
43
-
-
0028517853
-
Runge-Kutta methods for dissipative and gradient dynamical systems
-
A.R. Humphries and A.M. Stuart, Runge-Kutta methods for dissipative and gradient dynamical systems, SIAM J. Numer. Anal. 31 (1994).
-
(1994)
SIAM J. Numer. Anal.
, vol.31
-
-
Humphries, A.R.1
Stuart, A.M.2
-
44
-
-
0002945485
-
Error analysis of a class of methods for stiff nonlinear initial value problems
-
Dundee, Springer Lecture Series in Mathematics
-
G. Dahlquist, Error analysis of a class of methods for stiff nonlinear initial value problems, Numerical Analysis, Dundee, Springer Lecture Series in Mathematics, No. 506 (1978) 60-74.
-
(1978)
Numerical Analysis
, vol.506
, pp. 60-74
-
-
Dahlquist, G.1
-
45
-
-
0016647175
-
A stability property of implicit Runge-Kutta methods
-
J.C. Butcher, A stability property of implicit Runge-Kutta methods, BIT 15 (1975) 358-361.
-
(1975)
BIT
, vol.15
, pp. 358-361
-
-
Butcher, J.C.1
-
47
-
-
0043075004
-
Model problems in numerical stability theory of initial boundary value problems
-
preprint
-
A. Stuart and A.R. Humphries, Model problems in numerical stability theory of initial boundary value problems, SIAM Rev. (1992), preprint.
-
(1992)
SIAM Rev.
-
-
Stuart, A.1
Humphries, A.R.2
-
48
-
-
84948497651
-
Upper semicontinuity of attractors for approximations of semigroups and partial differential equations
-
J.K. Hale, X.B. Lin and G. Raugel, Upper semicontinuity of attractors for approximations of semigroups and partial differential equations. Math. Comput. 50 (1988) 89-123.
-
(1988)
Math. Comput.
, vol.50
, pp. 89-123
-
-
Hale, J.K.1
Lin, X.B.2
Raugel, G.3
-
50
-
-
0005033325
-
-
Ph.D. Dissertation, SUDAM Report 93-6, Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University
-
F. Armero, Numerical analysis of dissipative dynamical systems in solid and fluid mechanics, with a special emphasis on coupled problems, Ph.D. Dissertation, SUDAM Report 93-6, Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, 1993.
-
(1993)
Numerical Analysis of Dissipative Dynamical Systems in Solid and Fluid Mechanics, with a Special Emphasis on Coupled Problems
-
-
Armero, F.1
-
52
-
-
0026173203
-
Some current CFD issues relevant to the incompressible Navier-Stokes equations
-
P.M. Gresho, Some current CFD issues relevant to the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 87 (1991) 201-252.
-
(1991)
Comput. Methods Appl. Mech. Engrg.
, vol.87
, pp. 201-252
-
-
Gresho, P.M.1
-
54
-
-
34250459417
-
The finite element method with Lagrange multipliers
-
I. Babuška, The finite element method with Lagrange multipliers, Numer. Math. 20 (1973) 179-192.
-
(1973)
Numer. Math.
, vol.20
, pp. 179-192
-
-
Babuška, I.1
-
55
-
-
0016093926
-
On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers
-
F. Brezzi, On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers, RAIRO Anal. Numer. 8 (1974) 129-151.
-
(1974)
RAIRO Anal. Numer.
, vol.8
, pp. 129-151
-
-
Brezzi, F.1
-
56
-
-
0000966077
-
Finite element approximation of the non-stationary Navier-Stokes problem. Part I: Regularity of solutions and second-order error estimates for spatial discretization
-
J.G. Heywood and R. Rannacher, Finite element approximation of the non-stationary Navier-Stokes problem. Part I: Regularity of solutions and second-order error estimates for spatial discretization, SIAM J. Numer. Anal. 19 (1982) 275-311.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 275-311
-
-
Heywood, J.G.1
Rannacher, R.2
-
57
-
-
84966220668
-
Eigenvalue approximation by mixed and hybrid methods
-
B. Mercier, J. Osborn, J. Rappaz and P.A. Raviart, Eigenvalue approximation by mixed and hybrid methods, Math. Comput. 36 (1981) 427-453.
-
(1981)
Math. Comput.
, vol.36
, pp. 427-453
-
-
Mercier, B.1
Osborn, J.2
Rappaz, J.3
Raviart, P.A.4
-
59
-
-
84966202677
-
On the existence, uniqueness and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics
-
M.D. Gunzburger, A.J. Meir and J. Peterson, On the existence, uniqueness and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics, Math. Comput. 56 (1991) 523-563.
-
(1991)
Math. Comput.
, vol.56
, pp. 523-563
-
-
Gunzburger, M.D.1
Meir, A.J.2
Peterson, J.3
-
62
-
-
0002380692
-
A method for nonlinear constraints in minimization problems
-
R. Fletcher, ed., Academic Press, London
-
M.J.D. Powell, A method for nonlinear constraints in minimization problems, in: R. Fletcher, ed., Optimization (Academic Press, London, 1969).
-
(1969)
Optimization
-
-
Powell, M.J.D.1
-
65
-
-
0022122867
-
A generalization of Uzawa's algorithm for the Navier-Stokes equations
-
M. Fortin and A. Fortin, A generalization of Uzawa's algorithm for the Navier-Stokes equations, Comm. Appl. Numer. Methods 1 (1985) 205-208.
-
(1985)
Comm. Appl. Numer. Methods
, vol.1
, pp. 205-208
-
-
Fortin, M.1
Fortin, A.2
-
66
-
-
0003200255
-
Augmented lagrangian and operator splitting methods in nonlinear mechanics
-
Philadelphia
-
R. Glowinski and P. Le Tallec, Augmented Lagrangian and operator splitting methods in nonlinear mechanics, SIAM Studies in Applied Mathematics, Philadelphia, 1989.
-
(1989)
SIAM Studies in Applied Mathematics
-
-
Glowinski, R.1
Le Tallec, P.2
-
67
-
-
0026103678
-
Finite elasticity in principal stretches; formulation and finite element implementation
-
J.C. Simo and R.L. Taylor, Finite elasticity in principal stretches; formulation and finite element implementation, Comput. Methods Appl. Mech. Engrg. 85 (1991) 273-310.
-
(1991)
Comput. Methods Appl. Mech. Engrg.
, vol.85
, pp. 273-310
-
-
Simo, J.C.1
Taylor, R.L.2
-
68
-
-
0042073313
-
-
Personal communication
-
P. Collela, Personal communication, 1992.
-
(1992)
-
-
Collela, P.1
-
69
-
-
84968510911
-
Numerical solution of the Navier-Stokes equations
-
A.E. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput. 22 (1968) 745-762.
-
(1968)
Math. Comput.
, vol.22
, pp. 745-762
-
-
Chorin, A.E.1
-
70
-
-
0000082056
-
Une méthode d'approximations de la solution des équations de Navier-Stokes
-
R. Temam, Une méthode d'approximations de la solution des équations de Navier-Stokes, Bull. Soc. Math. France 98 (1968) 115-152.
-
(1968)
Bull. Soc. Math. France
, vol.98
, pp. 115-152
-
-
Temam, R.1
-
72
-
-
0015762231
-
Conforming and nonconforming finite element methods for solving the stationary Stokes equations
-
M. Crouzeix and P.A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations, R.A.I.R.O. Anal. Numer. 7 (1973) 33-76.
-
(1973)
R.A.I.R.O. Anal. Numer.
, vol.7
, pp. 33-76
-
-
Crouzeix, M.1
Raviart, P.A.2
-
73
-
-
0003201593
-
Initial-boundary value problems and the Navier-Stokes equations
-
Academic Press, London
-
H. Kreiss and J. Lorenz, Initial-Boundary Value Problems and the Navier-Stokes Equations, Volume 136 in Pure and Applied Mathematics (Academic Press, London, 1989).
-
(1989)
Pure and Applied Mathematics
, vol.136
-
-
Kreiss, H.1
Lorenz, J.2
|