-
2
-
-
0031476034
-
Shape optimization by the homogenization method
-
G. Allaire, E. Bonnetier, G. Francfort, F. Jouve, Shape optimization by the homogenization method, Nümerische Mathematik 76 (1997) 27-68.
-
(1997)
Nümerische Mathematik
, vol.76
, pp. 27-68
-
-
Allaire, G.1
Bonnetier, E.2
Francfort, G.3
Jouve, F.4
-
3
-
-
0842332649
-
Optimal design of micro-mechanisms by the homogenization method
-
G. Allaire, F. Jouve, Optimal design of micro-mechanisms by the homogenization method, Eur. J. Finite Elements 11 (2002) 405-416.
-
(2002)
Eur. J. Finite Elements
, vol.11
, pp. 405-416
-
-
Allaire, G.1
Jouve, F.2
-
4
-
-
0038053170
-
A level-set method for shape optimization
-
G. Allaire, F. Jouve, A.-M. Toader, A level-set method for shape optimization, C.R. Acad. Sci. Paris, Série I 334 (2002) 1125-1130.
-
(2002)
C.R. Acad. Sci. Paris, Série I
, vol.334
, pp. 1125-1130
-
-
Allaire, G.1
Jouve, F.2
Toader, A.-M.3
-
5
-
-
0001295889
-
Optimal design for minimum weight and compliance in plane stress using extremal microstructures
-
G. Allaire, R.V. Kohn, Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Eur. J. Mech. A/Solids 12 (6) (1993) 839-878.
-
(1993)
Eur. J. Mech. A/Solids
, vol.12
, Issue.6
, pp. 839-878
-
-
Allaire, G.1
Kohn, R.V.2
-
6
-
-
21344449262
-
Optimal geometry in equilibrium and growth
-
Symposium in Honor of Benoit Mandelbrot (Curaçao, 1995)
-
F. Almgren, J. Taylor, Optimal geometry in equilibrium and growth. Symposium in Honor of Benoit Mandelbrot (Curaçao, 1995), Fractals 3 (1995) 713-723.
-
(1995)
Fractals
, vol.3
, pp. 713-723
-
-
Almgren, F.1
Taylor, J.2
-
7
-
-
0002309872
-
An optimal design problem with perimeter penalization
-
L. Ambrosio, G. Buttazzo, An optimal design problem with perimeter penalization, Calc. Var. 1 (1993) 55-69.
-
(1993)
Calc. Var.
, vol.1
, pp. 55-69
-
-
Ambrosio, L.1
Buttazzo, G.2
-
8
-
-
0017417265
-
Convexity conditions and existence theorems in nonlinear elasticity
-
J.M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1977) 337-403.
-
(1977)
Arch. Rational Mech. Anal.
, vol.63
, pp. 337-403
-
-
Ball, J.M.1
-
10
-
-
0024105011
-
Generating optimal topologies in structural design using a homogenization method
-
M. Bendsoe, N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comp. Meth. Appl. Mech. Eng. 71 (1988) 197-224.
-
(1988)
Comp. Meth. Appl. Mech. Eng.
, vol.71
, pp. 197-224
-
-
Bendsoe, M.1
Kikuchi, N.2
-
11
-
-
0042221869
-
-
Springer Verlag, New York
-
M. Bendsoe, O. Sigmund, Topology Optimization. Theory, Methods, and Applications, Springer Verlag, New York, 2003.
-
(2003)
Topology Optimization. Theory, Methods, and Applications
-
-
Bendsoe, M.1
Sigmund, O.2
-
13
-
-
0034167740
-
Stiffness design of geometrically nonlinear structures using topology optimization
-
T. Buhl, C. Pedersen, O. Sigmund, Stiffness design of geometrically nonlinear structures using topology optimization, Struct. Multidisciplinary Optim. 19 (2) (2000) 93-104.
-
(2000)
Struct. Multidisciplinary Optim.
, vol.19
, Issue.2
, pp. 93-104
-
-
Buhl, T.1
Pedersen, C.2
Sigmund, O.3
-
14
-
-
0842267881
-
A framework for the construction of level set methods for shape optimization and reconstruction
-
M. Burger, A framework for the construction of level set methods for shape optimization and reconstruction, Interf. Free Boundaries 5 (2003) 301-329.
-
(2003)
Interf. Free Boundaries
, vol.5
, pp. 301-329
-
-
Burger, M.1
-
15
-
-
0038806783
-
A density result in two-dimensional linearized elasticity and applications
-
A. Chambolle, A density result in two-dimensional linearized elasticity and applications, Arch. Rational Mech. Anal. 167 (2003) 211-233.
-
(2003)
Arch. Rational Mech. Anal.
, vol.167
, pp. 211-233
-
-
Chambolle, A.1
-
16
-
-
85190307488
-
∞-regularity of the free boundary for a two-dimensional optimal compliance problem
-
In press
-
∞-regularity of the free boundary for a two-dimensional optimal compliance problem, Calc. Var. Partial Diff. Eq., in press.
-
Calc. Var. Partial Diff. Eq.
-
-
Chambolle, A.1
Larsen, C.J.2
-
17
-
-
0000815044
-
Conception optimale on identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
-
J. Céa, Conception optimale on identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût, Math. Model. Numer. Anal. 20 (3) (1986) 371-402.
-
(1986)
Math. Model. Numer. Anal.
, vol.20
, Issue.3
, pp. 371-402
-
-
Céa, J.1
-
18
-
-
0016577088
-
On the existence of a solution in a domain identification problem
-
D. Chenais, On the existence of a solution in a domain identification problem, J. Math. Anal. Appl. 52 (1975) 189-289.
-
(1975)
J. Math. Anal. Appl.
, vol.52
, pp. 189-289
-
-
Chenais, D.1
-
20
-
-
0003699286
-
Mathematical Elasticity
-
North-Holland, Amsterdam
-
P.G. Ciarlet, Mathematical Elasticity, Three-Dimensional Elasticity, vol. I, North-Holland, Amsterdam, 1988.
-
(1988)
Three-Dimensional Elasticity
, vol.1
-
-
Ciarlet, P.G.1
-
21
-
-
34249772762
-
Bubble method for topology and shape optimization of structures
-
H. Eschenauer, A. Schumacher, Bubble method for topology and shape optimization of structures, Struct. Optim. 8 (1994) 42-51.
-
(1994)
Struct. Optim.
, vol.8
, pp. 42-51
-
-
Eschenauer, H.1
Schumacher, A.2
-
22
-
-
0035665129
-
The topological asymptotic for PDE systems: The elasticity case
-
S. Garreau, P. Guillaume, M. Masmoudi, The topological asymptotic for PDE systems: the elasticity case, SIAM J. Control Optim. 39 (6) (2001) 1756-1778.
-
(2001)
SIAM J. Control Optim.
, vol.39
, Issue.6
, pp. 1756-1778
-
-
Garreau, S.1
Guillaume, P.2
Masmoudi, M.3
-
24
-
-
85035808024
-
Etudes de problèmes d'optimal design
-
Springer Verlag, Berlin
-
F. Murat, S. Simon, Etudes de problèmes d'optimal design. Lecture Notes in Computer Science 41, Springer Verlag, Berlin, 1976, pp. 54-62.
-
(1976)
Lecture Notes in Computer Science
, vol.41
, pp. 54-62
-
-
Murat, F.1
Simon, S.2
-
25
-
-
0000653948
-
Level-set methods for optimization problems involving geometry and constraints: Frequencies of a two-density inhomogeneous drum
-
S. Osher, F. Santosa, Level-set methods for optimization problems involving geometry and constraints: frequencies of a two-density inhomogeneous drum, J. Comp. Phys. 171 (2001) 272-288.
-
(2001)
J. Comp. Phys.
, vol.171
, pp. 272-288
-
-
Osher, S.1
Santosa, F.2
-
26
-
-
44749084234
-
Front propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
S. Osher, J.A. Sethian, Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comp. Phys. 78 (1988) 12-49.
-
(1988)
J. Comp. Phys.
, vol.78
, pp. 12-49
-
-
Osher, S.1
Sethian, J.A.2
-
28
-
-
0003661003
-
-
Cambridge University Press, Cambridge, MA
-
J.A. Sethian, Level-Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Science, Cambridge University Press, Cambridge, MA, 1999.
-
(1999)
Level-Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Science
-
-
Sethian, J.A.1
-
29
-
-
0001176192
-
Structural boundary design via level-set and immersed interface methods
-
J. Sethian, A. Wiegmann, Structural boundary design via level-set and immersed interface methods, J. Comp. Phys. 163 (2000) 489-528.
-
(2000)
J. Comp. Phys.
, vol.163
, pp. 489-528
-
-
Sethian, J.1
Wiegmann, A.2
-
30
-
-
0031270912
-
On the design of compliant mechanisms using topology optimization
-
O. Sigmund, On the design of compliant mechanisms using topology optimization, Mech. Struct. Mach. 25 (1997) 493-524.
-
(1997)
Mech. Struct. Mach.
, vol.25
, pp. 493-524
-
-
Sigmund, O.1
-
31
-
-
0001351887
-
Differentiation with respect to the domain in boundary value problems
-
J. Simon, Differentiation with respect to the domain in boundary value problems, Numer. Funct. Anal. Optim. 2 (1980) 649-687.
-
(1980)
Numer. Funct. Anal. Optim.
, vol.2
, pp. 649-687
-
-
Simon, J.1
-
32
-
-
0035415671
-
Topological derivatives of shape functionals for elasticity systems
-
J. Sokołowski, A. Zochowski, Topological derivatives of shape functionals for elasticity systems, Mech. Struct. Mach. 29 (3) (2001) 331-349.
-
(2001)
Mech. Struct. Mach.
, vol.29
, Issue.3
, pp. 331-349
-
-
Sokołowski, J.1
Zochowski, A.2
-
33
-
-
0004209438
-
Introduction to shape optimization: Shape sensitivity analysis
-
Springer, Berlin
-
J. Sokołowski, J.P. Zolesio, Introduction to shape optimization: shape sensitivity analysis, Springer Series in Computational Mathematics, vol. 10, Springer, Berlin, 1992.
-
(1992)
Springer Series in Computational Mathematics
, vol.10
-
-
Sokołowski, J.1
Zolesio, J.P.2
|