Boundary layer resolution in hierarchical models of laminated composites
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 28 (1994) no. 5, p. 517-537
@article{M2AN_1994__28_5_517_0,
     author = {Schwab, C.},
     title = {Boundary layer resolution in hierarchical models of laminated composites},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {28},
     number = {5},
     year = {1994},
     pages = {517-537},
     zbl = {0817.73038},
     mrnumber = {1295585},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1994__28_5_517_0}
}
Schwab, C. Boundary layer resolution in hierarchical models of laminated composites. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 28 (1994) no. 5, pp. 517-537. http://www.numdam.org/item/M2AN_1994__28_5_517_0/

[1] I Babuška, K Aziz, 1972, Survey lectures on the mathematical foundation of the finite element method in The mathematical foundations of the finite element method with applications to partial differential equations, A. K. Aziz, Ed., Academic Press, New York, 3-343 | MR 347104 | Zbl 0268.65052

[2] I. Babuška, B. A Szabo, R. Actis, 1992, Hierarchic Models for Laminated Composites, Int. Journ. Num. Meth. Eng., 33, 503-536. | MR 1144928 | Zbl 0825.73419

[3] I. Babuška, C. Schwab, 1994, A posteriori error estimation for hierarchie models of elliptic boundary value problems on thin domains (in press m SIAM J. Numer. Anal.). | MR 1377252 | Zbl 0846.65056

[4] P. G. Ciarlet, 1992, Plates and Junctions in Elastic Multistructures, Masson Publishers and Springer Verlag, Paris and New York. | Zbl 0706.73046

[5] S. Jensen, 1992, Adaptive dimensional reduction solution of monotone quasilinear boundary value problems, SIAM J. Num. Anal., 29, 1294-1320. | MR 1182732 | Zbl 0778.73069

[6] J. Nečas, 1967, Les Méthodes Directes en Théorie des Equations Elliptiques, Masson, Paris. | MR 227584

[7] C. Schwab, Boundary Loyer Resolution in Hierarchical Plate Modelling, Preprint 92-13, Dept of Mathematics & Statistics, UMBC. | MR 1323800 | Zbl 0821.73030

[8] E. M. Stein, 1970, Singular Integrais and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ. | MR 290095 | Zbl 0207.13501

[9] M. Vogelius, I. Babuška, 1981, On a dimensional reduction method, part I, II & III, Math. Comp., 37, 31-68 and 361-384. | MR 628701 | Zbl 0523.65079