-
1
-
-
0000773206
-
Method of fictitious domains for a second-order elliptic equation with natural boundary conditions
-
G.P. Astrakhantsev, Method of fictitious domains for a second-order elliptic equation with natural boundary conditions. USSR Comput. Math. Math. Phys. 18 (1978) 114-121.
-
(1978)
USSR Comput. Math. Math. Phys.
, vol.18
, pp. 114-121
-
-
Astrakhantsev, G.P.1
-
2
-
-
0026243368
-
On some imbedding methods applied to fluid dynamics and electro-magnetics
-
C. Atamian, G.V. Dinh, R. Glowinski, J. He and J. Périaux, On some imbedding methods applied to fluid dynamics and electro-magnetics. Comput. Methods Appl. Mech. Engrg. 91 (1991) 1271-1299.
-
(1991)
Comput. Methods Appl. Mech. Engrg.
, vol.91
, pp. 1271-1299
-
-
Atamian, C.1
Dinh, G.V.2
Glowinski, R.3
He, J.4
Périaux, J.5
-
3
-
-
34250459417
-
The finite element method with Lagrangian multipliers
-
I. Babuška, The finite element method with Lagrangian multipliers. Numer. Math. 20 (1973) 179-192.
-
(1973)
Numer. Math.
, vol.20
, pp. 179-192
-
-
Babuška, I.1
-
5
-
-
0025508055
-
A triangulation algorithm for fast elliptic solvers based on domain imbedding
-
C. Börgers, A triangulation algorithm for fast elliptic solvers based on domain imbedding. SIAM J. Numer. Anal. 27 (1990) 1187-1196.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1187-1196
-
-
Börgers, C.1
-
6
-
-
0025474829
-
On finite element domain imbedding methods
-
C. Börgers and O.B. Widlund, On finite element domain imbedding methods. SIAM J. Numer. Anal. 27 (1990) 963-978.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 963-978
-
-
Börgers, C.1
Widlund, O.B.2
-
8
-
-
84966242349
-
The Lagrangian multiplier method for Dirichlet's problem
-
J.H. Bramble, The Lagrangian multiplier method for Dirichlet's problem. Math. Comp. 37 (1981) 1-11.
-
(1981)
Math. Comp.
, vol.37
, pp. 1-11
-
-
Bramble, J.H.1
-
9
-
-
84966199070
-
The construction of preconditioners for elliptic problems by substructuring, I.
-
J.H. Bramble, J.E. Pasciak and A.M. Schatz, The construction of preconditioners for elliptic problems by substructuring, I. Math. Comp. 47 (1986) 103-134.
-
(1986)
Math. Comp.
, vol.47
, pp. 103-134
-
-
Bramble, J.H.1
Pasciak, J.E.2
Schatz, A.M.3
-
10
-
-
0023450793
-
Geometric sensitivity analysis with isoparametric finite elements
-
R.A. Brockman, Geometric sensitivity analysis with isoparametric finite elements. Comm. Appl. Numer. Math. 3 (1987) 495-499.
-
(1987)
Comm. Appl. Numer. Math.
, vol.3
, pp. 495-499
-
-
Brockman, R.A.1
-
11
-
-
0023331179
-
Analysis of preconditioners for domain decomposition
-
T.F. Chan, Analysis of preconditioners for domain decomposition. SIAM J. Numer. Anal. 24 (1987) 382-390.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 382-390
-
-
Chan, T.F.1
-
12
-
-
25944470479
-
Fictitious domain approach used in shape optimization: Neumann boudary condition
-
Control of Partial Differential Equations and Applications (Laredo, 1994), Dekker, New York
-
J. Daňková and J. Haslinger, Fictitious domain approach used in shape optimization: Neumann boudary condition, in Control of Partial Differential Equations and Applications (Laredo, 1994), Lecture Notes in Pure and Appl. Math., Dekker, New York 174 (1996) 43-49.
-
(1996)
Lecture Notes in Pure and Appl. Math.
, vol.174
, pp. 43-49
-
-
Daňková, J.1
Haslinger, J.2
-
13
-
-
0006305033
-
Numerical realization of a fictitious domain approach used in shape optimization. I. Distributed controls
-
J. Daňková and J. Haslinger, Numerical realization of a fictitious domain approach used in shape optimization. I. Distributed controls. Appl. Math. 41 (1996) 123-147.
-
(1996)
Appl. Math.
, vol.41
, pp. 123-147
-
-
Daňková, J.1
Haslinger, J.2
-
14
-
-
84941989583
-
Sensitivity analysis with unstructured free mesh generators in 2-D and 3-D shape optimization
-
Rio de Janeiro
-
P. Duysinx, W.H. Zhang and C. Fleury, Sensitivity analysis with unstructured free mesh generators in 2-D and 3-D shape optimization, in Structural Optimization 93, Vol. 2, Rio de Janeiro (1993) 205-212.
-
(1993)
Structural Optimization 93
, vol.2
, pp. 205-212
-
-
Duysinx, P.1
Zhang, W.H.2
Fleury, C.3
-
16
-
-
0001817973
-
Distributed Lagrange multiplier methods for particulate flows
-
M.-O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux and M.F. Wheeler Eds., Wiley, Chichester
-
R. Glowinski, T. Hesla, D.D. Joseph, T.-W. Pan and J. Périaux, Distributed Lagrange multiplier methods for particulate flows, in Computational Science for the 21st Century, M.-O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux and M.F. Wheeler Eds., Wiley, Chichester (1997) 270-279.
-
(1997)
Computational Science for the 21st Century
, pp. 270-279
-
-
Glowinski, R.1
Hesla, T.2
Joseph, D.D.3
Pan, T.-W.4
Périaux, J.5
-
17
-
-
0032324844
-
On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method
-
R. Glowinski and Yu.A. Kuznetsov, On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. C.R. Acad. Sci. Paris Sér. I Math. 327 (1998) 693-698.
-
(1998)
C.R. Acad. Sci. Paris Sér. I Math.
, vol.327
, pp. 693-698
-
-
Glowinski, R.1
Kuznetsov, Yu.A.2
-
20
-
-
0003241196
-
Iterative methods for solving linear systems
-
SIAM. Philadelphia, PA, USA
-
A. Greenbaum, Iterative Methods for Solving Linear Systems. Frontiers in Applied Mathematics, SIAM. Philadelphia, PA, USA 17 (1997).
-
(1997)
Frontiers in Applied Mathematics
, vol.17
-
-
Greenbaum, A.1
-
21
-
-
0038912265
-
Imbedding/control approach for solving optimal shape design problems
-
J. Haslinger, Imbedding/control approach for solving optimal shape design problems. East - West J. Numer. Math. 1 (1993) 111-119.
-
(1993)
East - West J. Numer. Math.
, vol.1
, pp. 111-119
-
-
Haslinger, J.1
-
23
-
-
0009552037
-
Control/fictitious domain method for solving optimal shape design problems
-
J. Haslinger, K.H. Hoffmann and M. Kočvara, Control/fictitious domain method for solving optimal shape design problems. RAIRO Modél. Math. Anal. Numér. 27 (1993) 157-182.
-
(1993)
RAIRO Modél. Math. Anal. Numér.
, vol.27
, pp. 157-182
-
-
Haslinger, J.1
Hoffmann, K.H.2
Kočvara, M.3
-
24
-
-
0030417792
-
Genetic algorithms and fictitious domain based approaches in shape optimization
-
J. Haslinger and D. Jedelský, Genetic algorithms and fictitious domain based approaches in shape optimization. Structural Optimization 12 (1996) 257-264.
-
(1996)
Structural Optimization
, vol.12
, pp. 257-264
-
-
Haslinger, J.1
Jedelský, D.2
-
25
-
-
0006309543
-
Fictitious domain/mixed finite element approach for a class of optimal shape design problems
-
J. Haslinger and A. Klarbring, Fictitious domain/mixed finite element approach for a class of optimal shape design problems. RAIRO Modél. Math. Anal. Numér. 29 (1995) 435-450.
-
(1995)
RAIRO Modél. Math. Anal. Numér.
, vol.29
, pp. 435-450
-
-
Haslinger, J.1
Klarbring, A.2
-
26
-
-
0003741726
-
-
Wiley, Chichester
-
J. Haslinger and P. Neittaanmäki, Finite Element Approximation for Optimal Shape, Material and Topology Design, 2nd ed., Wiley, Chichester (1996).
-
(1996)
Finite Element Approximation for Optimal Shape, Material and Topology Design, 2nd Ed.
-
-
Haslinger, J.1
Neittaanmäki, P.2
-
28
-
-
0039504918
-
Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers
-
H.G. Bock, G. Kanschat, R. Rannacher, F. Brezzi, R. Glowinski, Yu.A. Kuznetsov and J. Périaux Eds., World Scientific Publishing Co., Inc., River Edge, NJ
-
E. Heikkola, Y. Kuznetsov, T. Rossi and P. Tarvainen, Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers, in ENUMATH 97 - Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications, H.G. Bock, G. Kanschat, R. Rannacher, F. Brezzi, R. Glowinski, Yu.A. Kuznetsov and J. Périaux Eds., World Scientific Publishing Co., Inc., River Edge, NJ (1998) 646-661.
-
(1998)
ENUMATH 97 - Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications
, pp. 646-661
-
-
Heikkola, E.1
Kuznetsov, Y.2
Rossi, T.3
Tarvainen, P.4
-
29
-
-
0000330754
-
Shape optimization for mixed boundary value problems based on an embedding method
-
K. Kunisch and G. Peichl, Shape optimization for mixed boundary value problems based on an embedding method. Dynam. Contin. Discrete Impuls. Systems 4 (1998) 439-478.
-
(1998)
Dynam. Contin. Discrete Impuls. Systems
, vol.4
, pp. 439-478
-
-
Kunisch, K.1
Peichl, G.2
-
30
-
-
0001453805
-
Efficient iterative solvers for elliptic finite element problems on nonmatching grids
-
Yu.A. Kuznetsov, Efficient iterative solvers for elliptic finite element problems on nonmatching grids. Russian J. Numer. Anal. Math. Modelling 10 (1995) 187-211.
-
(1995)
Russian J. Numer. Anal. Math. Modelling
, vol.10
, pp. 187-211
-
-
Kuznetsov, Yu.A.1
-
31
-
-
0012534929
-
Iterative analysis of finite element problems with Lagrange multipliers
-
M.-O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux and M.F. Wheeler Eds., Wiley, Chichester
-
Yu.A. Kuznetsov, Iterative analysis of finite element problems with Lagrange multipliers, in Computational Science for the 21st Century, M.-O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux and M.F. Wheeler Eds., Wiley, Chichester (1997) 170-178.
-
(1997)
Computational Science for the 21st Century
, pp. 170-178
-
-
Kuznetsov, Yu.A.1
-
32
-
-
0000902475
-
Optimal order substructuring preconditioners for mixed finite element methods on non-maching grids
-
Yu.A. Kuznetsov and M.F. Wheeler, Optimal order substructuring preconditioners for mixed finite element methods on non-maching grids. East-West J. Numer. Math. 3 (1995) 127-143.
-
(1995)
East-West J. Numer. Math.
, vol.3
, pp. 127-143
-
-
Kuznetsov, Yu.A.1
Wheeler, M.F.2
-
33
-
-
0025464780
-
Finite-element design sensitivity analysis for non-linear potential problems
-
R. Mäkinen, Finite-element design sensitivity analysis for non-linear potential problems. Comm. Appl. Numer. Math. 6 (1990) 343-350.
-
(1990)
Comm. Appl. Numer. Math.
, vol.6
, pp. 343-350
-
-
Mäkinen, R.1
-
36
-
-
0016555955
-
Solution of sparse indefinite systems of linear equations
-
C.C. Paige and M.A. Saunders, Solution of sparse indefinite systems of linear equations. SIAM J. Numer. Anal. 12 (1975) 617-629.
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 617-629
-
-
Paige, C.C.1
Saunders, M.A.2
-
38
-
-
0040690125
-
Preconditioning capacitance matrix problems in domain imbedding
-
W. Proskurowski and P.S. Vassilevski, Preconditioning capacitance matrix problems in domain imbedding. SIAM J. Sci. Comput. 15 (1994) 77-88.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 77-88
-
-
Proskurowski, W.1
Vassilevski, P.S.2
-
40
-
-
0033293991
-
A parallel fast direct solver for block tridiagonal systems with separable matrices of arbitrary dimension
-
T. Rossi and J. Toivanen, A parallel fast direct solver for block tridiagonal systems with separable matrices of arbitrary dimension. SIAM J. Sci. Comput. 20 (1999) 1778-1793.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 1778-1793
-
-
Rossi, T.1
Toivanen, J.2
-
42
-
-
0000595101
-
The methods of cyclic reduction and Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle
-
P.N. Swarztrauber, The methods of cyclic reduction and Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle. SIAM Rev. 19 (1977) 490-501.
-
(1977)
SIAM Rev.
, vol.19
, pp. 490-501
-
-
Swarztrauber, P.N.1
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