-
1
-
-
34250138457
-
Semicontinuity problems in the calculus of variations
-
E. Acerbi and N. Fusco, Semicontinuity problems in the calculus of variations, Arch. Rational Mech. Anal. 86 (1984) 125-145.
-
(1984)
Arch. Rational Mech. Anal.
, vol.86
, pp. 125-145
-
-
Acerbi, E.1
Fusco, N.2
-
3
-
-
33750297145
-
Fine phase mixtures as minimizers of energy
-
J. M. Ball and R. D. James, Fine phase mixtures as minimizers of energy, Arch. Rational Mech. Anal. 100 (1987) 13-52.
-
(1987)
Arch. Rational Mech. Anal.
, vol.100
, pp. 13-52
-
-
Ball, J.M.1
James, R.D.2
-
4
-
-
48549111166
-
1,p-quasiconvexity and variational problems for multiple integrals
-
1,p-quasiconvexity and variational problems for multiple integrals, J. Funct. Anal. 58 (1984) 225-253.
-
(1984)
J. Funct. Anal.
, vol.58
, pp. 225-253
-
-
Ball, J.M.1
Murat, F.2
-
5
-
-
0000093666
-
A version of the fundamental theorem for Young measures
-
Partial Differential Equations and Continuum models of Phase Transitions, eds. M. Rascle, D. Serre and M. Slemrod Springer-Verlag
-
J. M. Ball, A version of the fundamental theorem for Young measures, in Partial Differential Equations and Continuum models of Phase Transitions, Lecture Notes in Physics, Vol. 344, eds. M. Rascle, D. Serre and M. Slemrod (Springer-Verlag, 1989), pp. 207-215.
-
(1989)
Lecture Notes in Physics
, vol.344
, pp. 207-215
-
-
Ball, J.M.1
-
7
-
-
0003238886
-
Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations
-
Longman
-
G. Buttazzo, Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations, Pitman Research Notes in Mathematics Series, Vol. 207 (Longman, 1989).
-
(1989)
Pitman Research Notes in Mathematics Series
, vol.207
-
-
Buttazzo, G.1
-
9
-
-
0001006601
-
Numerical analysis of oscillations in nonconvex problems
-
M. Chipot, Numerical analysis of oscillations in nonconvex problems, Numer. Math. 59 (1991) 747-767.
-
(1991)
Numer. Math.
, vol.59
, pp. 747-767
-
-
Chipot, M.1
-
10
-
-
21844504886
-
Numerical analysis of oscillations in multiple well problems
-
M. Chipot, C. Collins and D. Kinderlehrer, Numerical analysis of oscillations in multiple well problems, Numer. Math. 70 (1995) 259-282.
-
(1995)
Numer. Math.
, vol.70
, pp. 259-282
-
-
Chipot, M.1
Collins, C.2
Kinderlehrer, D.3
-
11
-
-
0002058256
-
The computation of the austenitic-martensitic phase transition
-
Partial Differential Equations and Continuum Models of Phase Transitions, eds. M. Rascle, D. Serre and M. Slemrod Springer-Verlag
-
C. Collins and M. Luskin, The computation of the austenitic-martensitic phase transition, in Partial Differential Equations and Continuum Models of Phase Transitions, Lecture Nodes in Physics, Vol. 344, eds. M. Rascle, D. Serre and M. Slemrod (Springer-Verlag, 1989), pp. 34-50.
-
(1989)
Lecture Nodes in Physics
, vol.344
, pp. 34-50
-
-
Collins, C.1
Luskin, M.2
-
12
-
-
0001830197
-
Computational results for a two-dimensional model of crystalline microstructure
-
Microstructure and Phase Transitions, eds. J. Ericksen, R. James, D. Kinderlehrer and M. Luskin Springer-Verlag
-
C. Collins, M. Luskin and J. Riordan, Computational results for a two-dimensional model of crystalline microstructure, in Microstructure and Phase Transitions, IMA Volumes in Mathematics and Its Applications, Vol. 54, eds. J. Ericksen, R. James, D. Kinderlehrer and M. Luskin (Springer-Verlag, 1993), pp. 51-56.
-
(1993)
IMA Volumes in Mathematics and Its Applications
, vol.54
, pp. 51-56
-
-
Collins, C.1
Luskin, M.2
Riordan, J.3
-
13
-
-
84966255684
-
Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem
-
C. Collins and M. Luskin, Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem, Math. Comput. 57 (1991) 621-637.
-
(1991)
Math. Comput.
, vol.57
, pp. 621-637
-
-
Collins, C.1
Luskin, M.2
-
14
-
-
85067946483
-
Direct Methods in the Calculus of Variations
-
Springer-Verlag
-
B. Dacorogna, Direct Methods in the Calculus of Variations, Applied Mathematical Sciences, Vol. 78 (Springer-Verlag, 1989).
-
(1989)
Applied Mathematical Sciences
, vol.78
-
-
Dacorogna, B.1
-
16
-
-
21444441193
-
Numerical optimization and quasiconvexity
-
P. Gremaud, Numerical optimization and quasiconvexity, Euro. J. Appl. Math. 6 (1995) 69-82.
-
(1995)
Euro. J. Appl. Math.
, vol.6
, pp. 69-82
-
-
Gremaud, P.1
-
17
-
-
0001139965
-
Characterizations of Young measures generated by gradients
-
D. Kinderlehrer and P. Pegregal, Characterizations of Young measures generated by gradients, Arch. Rational Mech. Anal. 115 (1991) 329-365.
-
(1991)
Arch. Rational Mech. Anal.
, vol.115
, pp. 329-365
-
-
Kinderlehrer, D.1
Pegregal, P.2
-
18
-
-
0003073394
-
Weak convergence of integrands and the Young measure representation
-
D. Kinderlehrer and P. Pegregal, Weak convergence of integrands and the Young measure representation, SIAM J. Math. Anal. 23 (1992) 1-19.
-
(1992)
SIAM J. Math. Anal.
, vol.23
, pp. 1-19
-
-
Kinderlehrer, D.1
Pegregal, P.2
-
19
-
-
0030211432
-
Existence of minimizers and microstructures in nonlinear elasticity
-
Z.-P. Li, Existence of minimizers and microstructures in nonlinear elasticity, Nonlinear Anal.: Theor., Methods. Appl. 27 (1996) 297-308.
-
(1996)
Nonlinear Anal.: Theor., Methods. Appl.
, vol.27
, pp. 297-308
-
-
Li, Z.-P.1
-
20
-
-
0031322111
-
Simultaneous numerical approximation of microstructures and relaxed minimizers
-
Z.-P. Li, Simultaneous numerical approximation of microstructures and relaxed minimizers, Numer. Math. 78 (1997) 21-38.
-
(1997)
Numer. Math.
, vol.78
, pp. 21-38
-
-
Li, Z.-P.1
-
21
-
-
0040939835
-
-
Research Report No. 61, Institute of Mathematics and Department of Mathematics, Peking University
-
Z.-P. Li, Computation of micro structures by using quasiconvex envelope, Research Report No. 61, Institute of Mathematics and Department of Mathematics, Peking University, 1995.
-
(1995)
Computation of Micro Structures by Using Quasiconvex Envelope
-
-
Li, Z.-P.1
-
22
-
-
0000385517
-
Laminated microstructure in a variational problem with a non-rank-one connected double well potential
-
Z.-P. Li, Laminated microstructure in a variational problem with a non-rank-one connected double well potential, J. Math. Anal. Appl. 217 (1998) 490-500.
-
(1998)
J. Math. Anal. Appl.
, vol.217
, pp. 490-500
-
-
Li, Z.-P.1
-
23
-
-
0347284844
-
On the computation of crystalline microstructure
-
M. Luskin, On the computation of crystalline microstructure, Acta Numer. 5 (1996) 191-257.
-
(1996)
Acta Numer.
, vol.5
, pp. 191-257
-
-
Luskin, M.1
-
24
-
-
0027245366
-
Numerical optimization of the micromagnetics energy
-
SPIE
-
M. Luskin and L. Ma, Numerical optimization of the micromagnetics energy, in Mathematics in Smart Materials, SPIE (1993), pp. 19-29.
-
(1993)
Mathematics in Smart Materials
, pp. 19-29
-
-
Luskin, M.1
Ma, L.2
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