메뉴 건너뛰기




Volumn 85, Issue 4, 2000, Pages 647-663

Estimates for numerical approximations of rank one convex envelopes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034375683     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005395     Document Type: Article
Times cited : (23)

References (27)
  • 2
    • 0002854369 scopus 로고
    • Proposed experimental tests of a theory of fine microstructure and the two-well problem
    • Ball, J.M., James, R.D. (1992): Proposed experimental tests of a theory of fine microstructure and the two-well problem. Phil. Trans. Soc. London, A 338, 389-450
    • (1992) Phil. Trans. Soc. London, A , vol.338 , pp. 389-450
    • Ball, J.M.1    James, R.D.2
  • 5
    • 0001006601 scopus 로고
    • Numerical analysis of oscillations in nonconvex problems
    • Chipot, M. (1990): Numerical analysis of oscillations in nonconvex problems, Numer. Math. 59, 747-767
    • (1990) Numer. Math. , vol.59 , pp. 747-767
    • Chipot, M.1
  • 6
    • 0026907665 scopus 로고
    • Numerical approximations in variational problems with potential wells
    • Chipot, M., Collins, C. (1992): Numerical approximations in variational problems with potential wells. SIAM Journal on Numerical Analysis 29, 1002-1019
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , pp. 1002-1019
    • Chipot, M.1    Collins, C.2
  • 7
    • 0026136907 scopus 로고
    • Numerical approximation of the solution of a variational problem with a double well potential
    • Collins, C., Kinderlehrer, D., Luskin, M. (1991): Numerical approximation of the solution of a variational problem with a double well potential. SIAM Journal on Numerical Analysis 28, 321-332
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , pp. 321-332
    • Collins, C.1    Kinderlehrer, D.2    Luskin, M.3
  • 8
    • 84966255684 scopus 로고
    • Optimal order error estimates for the finite element approximation of the solution of a nonconvex variational problem
    • Collins, C., Luskin, M. (1991): Optimal order error estimates for the finite element approximation of the solution of a nonconvex variational problem. Mathematics of Computation 57, 621-637
    • (1991) Mathematics of Computation , vol.57 , pp. 621-637
    • Collins, C.1    Luskin, M.2
  • 10
    • 0040745098 scopus 로고    scopus 로고
    • Numerical computation of rank-one convex evelopes
    • submitted
    • Dolzmann, G. (1997): Numerical computation of rank-one convex evelopes. SIAM Journal on Numerical Analysis, submitted
    • (1997) SIAM Journal on Numerical Analysis
    • Dolzmann, G.1
  • 11
    • 0028380768 scopus 로고
    • Numerical analysis of a non-convex variational problem related to solid-solid phase transitions
    • Gremaud, P.A. (1994): Numerical analysis of a non-convex variational problem related to solid-solid phase transitions. SIAM Journal on Numerical Analysis 31, 111-127
    • (1994) SIAM Journal on Numerical Analysis , vol.31 , pp. 111-127
    • Gremaud, P.A.1
  • 12
    • 21444441193 scopus 로고
    • Numerical optimization and quasiconvexity
    • Gremaud, P.A. (1995): Numerical optimization and quasiconvexity. European J. Appl. Math. 6, 69-82
    • (1995) European J. Appl. Math. , vol.6 , pp. 69-82
    • Gremaud, P.A.1
  • 13
  • 14
    • 0038966785 scopus 로고
    • Weak convergence of integrands and the Young measure representation
    • Gremaud, P.A. (1994): Weak convergence of integrands and the Young measure representation. The Journal of Geometric Analysis 4, 59-90
    • (1994) The Journal of Geometric Analysis , vol.4 , pp. 59-90
    • Gremaud, P.A.1
  • 15
    • 0039079084 scopus 로고
    • Computational modeling of the martensitic transformation with surface energy
    • Kloucek, P., Luskin, M. (1994): Computational modeling of the martensitic transformation with surface energy. Mathematical and Computer Modelling 20
    • (1994) Mathematical and Computer Modelling , vol.20
    • Kloucek, P.1    Luskin, M.2
  • 16
    • 0001000267 scopus 로고
    • The relaxation of a double well energy, contin
    • Kohn, R.V. (1991): The relaxation of a double well energy, Contin. Mech. Thermodyn 3, 193-236
    • (1991) Mech. Thermodyn , vol.3 , pp. 193-236
    • Kohn, R.V.1
  • 17
    • 84990623154 scopus 로고
    • Optimal design and relaxation of a variational problems, I-III
    • Kohn, R. V., Strang, G. (1986): Optimal design and relaxation of a variational problems, I-III. Communications on Pure and Applied Mathematics XXXIX, 113-137, 139-182, 353-377
    • (1986) Communications on Pure and Applied Mathematics , vol.39 , pp. 113-137
    • Kohn, R.V.1    Strang, G.2
  • 18
    • 0040170655 scopus 로고    scopus 로고
    • Finite element analysis of microstructure for the cubic to tetragonal transformation
    • Li, B., Luskin, M. (1998): Finite element analysis of microstructure for the cubic to tetragonal transformation. SIAM Journal on Numerical Analysis 35, 376-392
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , pp. 376-392
    • Li, B.1    Luskin, M.2
  • 19
    • 0347284844 scopus 로고    scopus 로고
    • On the computation of crystalline microstructure
    • Luskin, M. (1996): On the computation of crystalline microstructure. Acta Numerica 5, 191-258
    • (1996) Acta Numerica , vol.5 , pp. 191-258
    • Luskin, M.1
  • 20
    • 0026843542 scopus 로고
    • Analysis of the finite element approximation of microstructure in micromagnetics
    • Luskin, M., Ma, L. (1992): Analysis of the finite element approximation of microstructure in micromagnetics. SIAM Journal on Numerical Analysis 29, 320-331
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , pp. 320-331
    • Luskin, M.1    Ma, L.2
  • 24
    • 0002851015 scopus 로고
    • The compensated compactness method applied to systems of conservation laws
    • Ball, J.M. (ed.) Reidel
    • Tartar, L. (1983): The compensated compactness method applied to systems of conservation laws. In: Ball, J.M. (ed.) Systems of Nonlinear Partial Differential Equations. Reidel, pp. 263-285
    • (1983) Systems of Nonlinear Partial Differential Equations , pp. 263-285
    • Tartar, L.1
  • 25
    • 0001530984 scopus 로고
    • Some remarks on seperately convex functions
    • Kinderlehrer (ed.) Springer
    • Tartar, L. (1983): Some remarks on seperately convex functions. In: Kinderlehrer (ed.) Microstructure and Phase Transitions. Springer, pp. 191-204
    • (1983) Microstructure and Phase Transitions , pp. 191-204
    • Tartar, L.1
  • 26
    • 84974157879 scopus 로고
    • Rank one convexity does not imply quasiconvexity
    • Šverák, V. (1993): Rank one convexity does not imply quasiconvexity. Proc. Roy. Soc. Edinburgh, Sect. A 120, 185-189
    • (1993) Proc. Roy. Soc. Edinburgh, Sect. A , vol.120 , pp. 185-189
    • Šverák, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.