-
1
-
-
1542430156
-
-
Academic Press, New York
-
R.A. ADAMS, Sololev Spaces, Academic Press, New York, 1975.
-
(1975)
Sololev Spaces
-
-
ADAMS, R.A.1
-
2
-
-
0031102111
-
A posteriori error estimators in finite element analysis
-
M. AINSWORTH AND J.T. ODEN, A posteriori error estimators in finite element analysis, Comput. Methods Appl. Mech. Engrg., 142 (1997), pp. 1-88.
-
(1997)
Comput. Methods Appl. Mech. Engrg
, vol.142
, pp. 1-88
-
-
AINSWORTH, M.1
ODEN, J.T.2
-
3
-
-
0034461033
-
Adaptive finite element methods for optimal control of partial differential equations: Basic concept
-
R. BECHER, H. KAPP, AND R. RANNACIIER, Adaptive finite element methods for optimal control of partial differential equations: Basic concept, SIAM J. Control Optim., 39 (2000), pp. 113-132.
-
(2000)
SIAM J. Control Optim
, vol.39
, pp. 113-132
-
-
BECHER, R.1
KAPP, H.2
RANNACIIER, R.3
-
4
-
-
0030547624
-
Indicateurs d'erreur en h-N version des element spectraux
-
C. BEUNARDI, Indicateurs d'erreur en h-N version des element spectraux, RAIRO Modél. Math. Anal. Numér., 30 (1996), pp. 1-38.
-
(1996)
RAIRO Modél. Math. Anal. Numér
, vol.30
, pp. 1-38
-
-
BEUNARDI, C.1
-
5
-
-
0000161555
-
On direct methods for solving Poisson's equations
-
B.L. BUZBEE, G.H. GOLUB, AND C.W. NIELSON, On direct methods for solving Poisson's equations, SIAM J. Numer. Anal., 7 (1970), pp. 627-656.
-
(1970)
SIAM J. Numer. Anal
, vol.7
, pp. 627-656
-
-
BUZBEE, B.L.1
GOLUB, G.H.2
NIELSON, C.W.3
-
6
-
-
0003766476
-
-
Springer-Verlag, Berlin
-
C. CANUTO, M.Y. HUSSAINI, A. QUARTERONI, AND T.A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988.
-
(1988)
Spectral Methods in Fluid Dynamics
-
-
CANUTO, C.1
HUSSAINI, M.Y.2
QUARTERONI, A.3
ZANG, T.A.4
-
7
-
-
0038473979
-
Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory
-
E. CASAS AND F. TRÖLTZSOH, Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory, SIAM. J. Optim., 13 (2002), pp. 406-431.
-
(2002)
SIAM. J. Optim
, vol.13
, pp. 406-431
-
-
CASAS, E.1
TRÖLTZSOH, F.2
-
9
-
-
0016541865
-
Approximation by finite element functions using local regularization
-
PH. CLÉMENT, Approximation by finite element functions using local regularization, RAIRO Anal. Numér., 9 (1975), pp. 77-84.
-
(1975)
RAIRO Anal. Numér
, vol.9
, pp. 77-84
-
-
CLÉMENT, P.1
-
10
-
-
48349121807
-
A posteriori error estimate by a spectral method of an elliptic optimal control problem
-
R. GHANEM AND H. SISSAOUI, A posteriori error estimate by a spectral method of an elliptic optimal control problem, J. Comput. Math. Optim., 2 (2006), pp. 111-125.
-
(2006)
J. Comput. Math. Optim
, vol.2
, pp. 111-125
-
-
GHANEM, R.1
SISSAOUI, H.2
-
11
-
-
33845416649
-
Numerical Analysis of Spectral Methods: Theory and Applications
-
SIAM, Philadelphia
-
D. GOTTLIEB AND S.A. ORSZAG, Numerical Analysis of Spectral Methods: Theory and Applications, CBMS-NSF Regional Conf. Ser. in Appl. Math. 26, SIAM, Philadelphia, 1977.
-
(1977)
CBMS-NSF Regional Conf. Ser. in Appl. Math
, vol.26
-
-
GOTTLIEB, D.1
ORSZAG, S.A.2
-
12
-
-
0030150056
-
Finite-dimensional approximation of a class of constrained nonlinear optimal control problems
-
M.D. GUNZBURGER AND L.S. HOU, Finite-dimensional approximation of a class of constrained nonlinear optimal control problems, SIAM J. Control Optim., 34 (1996), pp. 1001-1043.
-
(1996)
SIAM J. Control Optim
, vol.34
, pp. 1001-1043
-
-
GUNZBURGER, M.D.1
HOU, L.S.2
-
14
-
-
49249143705
-
The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
-
D. B. HAIDVOGEL AND T.A. ZANG, The accurate solution of Poisson's equation by expansion in Chebyshev polynomials, J. Comput. Phys., 30 (1979), pp. 167-180.
-
(1979)
J. Comput. Phys
, vol.30
, pp. 167-180
-
-
HAIDVOGEL, D.B.1
ZANG, T.A.2
-
15
-
-
0036294683
-
Second order methods for optimal control of time-dependent fluid flow
-
M. HINZE AND K. KUNISCH, Second order methods for optimal control of time-dependent fluid flow, SIAM J. Control Optim., 40 (2001), pp. 925-946.
-
(2001)
SIAM J. Control Optim
, vol.40
, pp. 925-946
-
-
HINZE, M.1
KUNISCH, K.2
-
16
-
-
84894883011
-
Adaptive multi-mesh finite element approximation for constrained optimal control problems
-
submitted
-
Y. HUANG, R. LI, W.B. LIU, AND N. N. YAN, Adaptive multi-mesh finite element approximation for constrained optimal control problems, SIAM J. Control Optim., submitted.
-
SIAM J. Control Optim
-
-
HUANG, Y.1
LI, R.2
LIU, W.B.3
YAN, N.N.4
-
17
-
-
0004004657
-
-
Nordhoff, Leyden, The Netherlands
-
A. KUFNER, O. JOHN, AND S. FUCIK, Function Spaces, Nordhoff, Leyden, The Netherlands, 1977.
-
(1977)
Function Spaces
-
-
KUFNER, A.1
JOHN, O.2
FUCIK, S.3
-
19
-
-
0141645572
-
Adaptive finite element approximation for distributed elliptic optimal control problems
-
R. LI, W. LIU, H. MA, AND T. TANG, Adaptive finite element approximation for distributed elliptic optimal control problems, SIAM J. Control Optim., 41 (2002), pp. 1321-1349.
-
(2002)
SIAM J. Control Optim
, vol.41
, pp. 1321-1349
-
-
LI, R.1
LIU, W.2
MA, H.3
TANG, T.4
-
21
-
-
0035519074
-
Error estimates for the finite element approximation of a class of nonlinear optimal control problems
-
W.B. LIU AND D. TIBA, Error estimates for the finite element approximation of a class of nonlinear optimal control problems, J. Numer. Funct. Optim., 22 (2001), pp. 953-972.
-
(2001)
J. Numer. Funct. Optim
, vol.22
, pp. 953-972
-
-
LIU, W.B.1
TIBA, D.2
-
22
-
-
0035566398
-
A posteriori error analysis for convex distributed optimal control problems
-
W.B. LIU AND N.N. YAN, A posteriori error analysis for convex distributed optimal control problems, Adv. Comput. Math., 15 (2001), pp. 285-309.
-
(2001)
Adv. Comput. Math
, vol.15
, pp. 285-309
-
-
LIU, W.B.1
YAN, N.N.2
-
23
-
-
0242641435
-
A posteriori error estimates for optimal control problems governed by parabolic equations
-
W.B. LIU AND N.N. YAN, A posteriori error estimates for optimal control problems governed by parabolic equations, Numer. Math., 93 (2003), pp. 497-521.
-
(2003)
Numer. Math
, vol.93
, pp. 497-521
-
-
LIU, W.B.1
YAN, N.N.2
-
24
-
-
0345327704
-
A posteriori error estimates for control problems governed by Stokes equations
-
W. LIU AND N. YAN, A posteriori error estimates for control problems governed by Stokes equations, SIAM J. Numer. Anal., 40 (2002), pp. 1850-1869.
-
(2002)
SIAM J. Numer. Anal
, vol.40
, pp. 1850-1869
-
-
LIU, W.1
YAN, N.2
-
25
-
-
33644524981
-
hp-interpolation of nonsmooth functions and an application to hp-a posteriori error estimation
-
J. M. MELENK, hp-interpolation of nonsmooth functions and an application to hp-a posteriori error estimation, SIAM. J. Numer. Anal., 43 (2005), pp. 127-155.
-
(2005)
SIAM. J. Numer. Anal
, vol.43
, pp. 127-155
-
-
MELENK, J.M.1
-
26
-
-
0035562801
-
On residual-based a posteriori error estimation in hp-FEM
-
J. M. MELENK AND B. I. WOHLMUTH, On residual-based a posteriori error estimation in hp-FEM, Adv. Comput. Math., 15 (2001), pp. 311-331.
-
(2001)
Adv. Comput. Math
, vol.15
, pp. 311-331
-
-
MELENK, J.M.1
WOHLMUTH, B.I.2
-
27
-
-
48549109395
-
A spectral element method for fluid dynamics: Laminar flow in a channel expansion
-
A.T. PATERA, A spectral element method for fluid dynamics: Laminar flow in a channel expansion, J. Comput. Phys., 54 (1984), pp. 468-488.
-
(1984)
J. Comput. Phys
, vol.54
, pp. 468-488
-
-
PATERA, A.T.1
-
28
-
-
84966200902
-
Finite element interpolation of nonsrnooth functions satisfying boundary conditions
-
L.R. SCOTT AND S. ZHANG, Finite element interpolation of nonsrnooth functions satisfying boundary conditions, Math. Comp., 54 (1990), pp. 483-493.
-
(1990)
Math. Comp
, vol.54
, pp. 483-493
-
-
SCOTT, L.R.1
ZHANG, S.2
-
29
-
-
55349085029
-
A spectral-tau approximation for the Stokes and Navier-Stokes equations
-
J. SHEN, A spectral-tau approximation for the Stokes and Navier-Stokes equations, RAIRO Modél. Math. Anal. Numér., 22 (1988), pp. 677-693.
-
(1988)
RAIRO Modél. Math. Anal. Numér
, vol.22
, pp. 677-693
-
-
SHEN, J.1
-
30
-
-
0000567049
-
Efficient spectral-Galerkin method I. Direct solvers of second- and fourth-order equations using Legendre polynomials
-
J. SHEN, Efficient spectral-Galerkin method I. Direct solvers of second- and fourth-order equations using Legendre polynomials, SIAM J. Sci. Comput., 15 (1994), pp. 1489-1505.
-
(1994)
SIAM J. Sci. Comput
, vol.15
, pp. 1489-1505
-
-
SHEN, J.1
-
31
-
-
0002543392
-
Efficient spectral-Galerkin method II. Direct solvers of second- and fourth-order equations using Chebyshev polynomials
-
J. SHEN, Efficient spectral-Galerkin method II. Direct solvers of second- and fourth-order equations using Chebyshev polynomials, SIAM J. Sci. Comput., 16 (1995), pp. 74-87.
-
(1995)
SIAM J. Sci. Comput
, vol.16
, pp. 74-87
-
-
SHEN, J.1
|