-
1
-
-
0742298560
-
Shape optimization by the homogenization method
-
Springer, Berlin
-
G. Allaire, Shape Optimization by the Homogenization Method, Appl. Math. Sci. 146, Springer, Berlin, 2001.
-
(2001)
Appl. Math. Sci
, vol.146
-
-
Allaire, G.1
-
2
-
-
0031476034
-
Shape optimization by the homogenization method
-
G. Allaire, E. Bonnetier, G. Francfort, and F. Jouve, Shape optimization by the homogenization method, Numer. Math., 76 (1997), pp. 27-68.
-
(1997)
Numer. Math
, vol.76
, pp. 27-68
-
-
Allaire, G.1
Bonnetier, E.2
Francfort, G.3
Jouve, F.4
-
3
-
-
0003474569
-
Homogenisation: Averaging processes in periodic media
-
Dordrecht, The Netherlands
-
N. Bakhvalov and G. Panasenko, Homogenisation: Averaging Processes in Periodic Media, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1989.
-
(1989)
Kluwer Academic Publishers
-
-
Bakhvalov, N.1
Panasenko, G.2
-
4
-
-
84898542480
-
Asymptotic dimension reduction of a Robin-Type elasticity boundary value problem in thin beams
-
Z. Bare, J. Orlik, and G. Panasenko, Asymptotic dimension reduction of a Robin-Type elasticity boundary value problem in thin beams, Appl. Anal., 93 (2014), pp. 1217-1238.
-
(2014)
Appl. Anal
, vol.93
, pp. 1217-1238
-
-
Bare, Z.1
Orlik, J.2
Panasenko, G.3
-
5
-
-
0003896318
-
Constrained optimization and Lagrange multiplier methods
-
Athena Scientific, Nashua, NH
-
D. Bertsekas, Constrained optimization and Lagrange multiplier methods, Optimization and Neural Computation, Athena Scientific, Nashua, NH, 1996.
-
(1996)
Optimization and Neural Computation
-
-
Bertsekas, D.1
-
6
-
-
84877071109
-
Homogenization via unfolding in periodic elasticity with contact on closed and open cracks
-
D. Cioranescu, A. Damlamian, and J. Orlik, Homogenization via unfolding in periodic elasticity with contact on closed and open cracks, Asymptot. Anal., 82 (2013), pp. 201-232.
-
(2013)
Asymptot. Anal
, vol.82
, pp. 201-232
-
-
Cioranescu, D.1
Damlamian, A.2
Orlik, J.3
-
7
-
-
0038541047
-
-
2nd ed., Adv. Des. Control SIAM, Philadelphia
-
C. Delfour and J. Zoĺesio, Shapes and Geometries: Metrics, Analysis, Differential Calculus, and Optimization, 2nd ed., Adv. Des. Control 22, SIAM, Philadelphia, 2011.
-
(2011)
Shapes and Geometries: Metrics, Analysis, Differential Calculus, and Optimization
, vol.22
-
-
Delfour, C.1
Zoĺesio, J.2
-
8
-
-
0003162589
-
Shape optimization of structures for multiple loading conditions using a homogenization method
-
A. Diaz and M. Bendsøe, Shape optimization of structures for multiple loading conditions using a homogenization method, Structural Optimization, 4 (1992), pp. 17-22.
-
(1992)
Structural Optimization
, vol.4
, pp. 17-22
-
-
Diaz, A.1
Bendsøe, M.2
-
9
-
-
0000390501
-
Existence theorems in elasticity
-
C. Truesdell, ed Springer, Berlin, Heidelberg
-
G. Fichera, Existence theorems in elasticity, in Linear Theories of Elasticity and Thermoelasticity, C. Truesdell, ed., Springer, Berlin, Heidelberg, 1973, pp. 347-389, doi:10.1007/978-3-662-39776-3 3.
-
(1973)
Linear Theories of Elasticity and Thermoelasticity
, Issue.3
, pp. 347-389
-
-
Fichera, G.1
-
10
-
-
84877994136
-
New development in freefem
-
F. Hecht, New development in FreeFem++, J. Numer. Math., 20 (2012), pp. 251-265.
-
(2012)
J. Numer. Math
, vol.20
, pp. 251-265
-
-
Hecht, F.1
-
11
-
-
77957771584
-
Optimization with PDE Constraints
-
Springer, New York
-
M. Hinze, R. Pinnau, M. Ulbrich, and S. Ulbrich, Optimization with PDE Constraints, Math. Model. Theory Appl. 23, Springer, New York, 2009.
-
(2009)
Math. Model. Theory Appl
, vol.23
-
-
Hinze, M.1
Pinnau, R.2
Ulbrich, M.3
Ulbrich, S.4
-
12
-
-
33846881481
-
Homogenization for heat transfer in polycrystals with interfacial resistances
-
H. Hummel, Homogenization for heat transfer in polycrystals with interfacial resistances, Appl. Anal., 75 (2000), pp. 403-424
-
(2000)
Appl. Anal
, vol.75
, pp. 403-424
-
-
Hummel, H.1
-
13
-
-
0003297080
-
Contact problems in elasticity: A study of variational inequalities and finite element methods
-
SIAM, Philadelphia
-
N. Kikuchi and J. Oden, Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, Stud. Appl. Math. 8, SIAM, Philadelphia, 1988.
-
(1988)
Stud. Appl. Math
, vol.8
-
-
Kikuchi, N.1
Oden, J.2
-
14
-
-
65349185668
-
Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs
-
P. Kogut and G. Leugering, Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs, ESAIM Control Optim. Calc. Var., 15 (2009), pp. 471-498.
-
(2009)
ESAIM Control Optim. Calc. Var
, vol.15
, pp. 471-498
-
-
Kogut, P.1
Leugering, G.2
-
15
-
-
0003790080
-
Asymptotic analysis of fields in multi-structures
-
Clarendon Press, Oxford University Press, New York
-
V. Kozlov, V. Maz'ya, and A. Movchan, Asymptotic Analysis of Fields in Multi-structures, Oxford Math. Monogr., Clarendon Press, Oxford University Press, New York, 1999.
-
(1999)
Oxford Math. Monogr
-
-
Kozlov, V.1
Maz'ya, V.2
Movchan, A.3
-
16
-
-
0003239335
-
Optimal control of systems governed by partial differential equations
-
translated from the French by S. K. Mitter, Springer-Verlag, Berlin
-
J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Grundlehren Math. Wiss. 170, translated from the French by S. K. Mitter, Springer-Verlag, Berlin, 1971.
-
(1971)
Grundlehren Math. Wiss 170
-
-
Lions, J.-L.1
-
17
-
-
0032002569
-
Heat conduction in fine scale mixtures with interfacial contact resistance
-
R. Lipton, Heat conduction in fine scale mixtures with interfacial contact resistance, SIAMJ. Appl. Math., 58 (1998), pp. 55-72, doi:10.1137/S0036139995295153.
-
(1998)
SIAMJ. Appl. Math
, vol.58
, pp. 55-72
-
-
Lipton, R.1
-
20
-
-
0003292182
-
Mathematical problems in elasticity and homogenization
-
North-Holland, Amsterdam
-
O. Oleinik, A. Shamaev, and G. Yosifian, Mathematical Problems in Elasticity and Homogenization, Stud. Math. Appl. 26, North-Holland, Amsterdam, 1992.
-
(1992)
Stud. Math. Appl
, vol.26
-
-
Oleinik, O.1
Shamaev, A.2
Yosifian, G.3
-
21
-
-
0348091374
-
Asymptotic solutions of a system of elasticity theory for rod and frame structures
-
G. Panasenko, Asymptotic solutions of a system of elasticity theory for rod and frame structures, Russian Acad. Sci. Sb. Math., 75 (1993), pp. 85-110.
-
(1993)
Russian Acad. Sci. Sb. Math
, vol.75
, pp. 85-110
-
-
Panasenko, G.1
-
23
-
-
26044481753
-
Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness
-
S. Pastukhova, Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness, J. Math. Sci., 130 (2005), pp. 4954-5004, doi:10.1007/s10958-005-0392-8.
-
(2005)
J. Math. Sci
, vol.130
, pp. 4954-5004
-
-
Pastukhova, S.1
-
24
-
-
44949271438
-
A homogenization method for shape and topology optimization
-
K. Suzuki and N. Kikuchi, A homogenization method for shape and topology optimization, Comput. Methods Appl. Mech. Engrg., 93 (1991), pp. 291-318.
-
(1991)
Comput. Methods Appl. Mech. Engrg
, vol.93
, pp. 291-318
-
-
Suzuki, K.1
Kikuchi, N.2
-
25
-
-
33748487201
-
Homogenization of elasticity problems on singular structures
-
V. Zhikov, Homogenization of elasticity problems on singular structures, Izv. Math., 66 (2002), p. 299.
-
(2002)
Izv. Math
, vol.66
, pp. 299
-
-
Zhikov, V.1
-
26
-
-
0142086985
-
Homogenization for elasticity problems on periodic networks of critical thickness
-
V. Zhikov and S. Pastukhova, Homogenization for elasticity problems on periodic networks of critical thickness, Russian Acad. Sci. Sb. Math., 194 (2003), p. 697
-
(2003)
Russian Acad. Sci. Sb. Math
, vol.194
, pp. 697
-
-
Zhikov, V.1
Pastukhova, S.2
|