Boundary layer resolution in hierarchical models of laminated composites

C. Schwab

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1994)

  • Volume: 28, Issue: 5, page 517-537
  • ISSN: 0764-583X

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Schwab, C.. "Boundary layer resolution in hierarchical models of laminated composites." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 28.5 (1994): 517-537. <http://eudml.org/doc/193750>.

@article{Schwab1994,
author = {Schwab, C.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {convergence; linear heat conduction problem; orthotropic sandwich plate; asymptotic structure; energy norm},
language = {eng},
number = {5},
pages = {517-537},
publisher = {Dunod},
title = {Boundary layer resolution in hierarchical models of laminated composites},
url = {http://eudml.org/doc/193750},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Schwab, C.
TI - Boundary layer resolution in hierarchical models of laminated composites
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1994
PB - Dunod
VL - 28
IS - 5
SP - 517
EP - 537
LA - eng
KW - convergence; linear heat conduction problem; orthotropic sandwich plate; asymptotic structure; energy norm
UR - http://eudml.org/doc/193750
ER -

References

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  1. [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 Zbl0268.65052MR347104
  2. [2] I. BABUŠKA, B. A SZABO, R. ACTIS, 1992, Hierarchic Models for Laminated Composites, Int. Journ. Num. Meth. Eng., 33, 503-536. Zbl0825.73419MR1144928
  3. [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.). Zbl0846.65056MR1377252
  4. [4] P. G. CIARLET, 1992, Plates and Junctions in Elastic Multistructures, Masson Publishers and Springer Verlag, Paris and New York. Zbl0706.73046
  5. [5] S. JENSEN, 1992, Adaptive dimensional reduction solution of monotone quasilinear boundary value problems, SIAM J. Num. Anal., 29, 1294-1320. Zbl0778.73069MR1182732
  6. [6] J. NEČAS, 1967, Les Méthodes Directes en Théorie des Equations Elliptiques, Masson, Paris. MR227584
  7. [7] C. SCHWAB, Boundary Loyer Resolution in Hierarchical Plate Modelling, Preprint 92-13, Dept of Mathematics & Statistics, UMBC. Zbl0821.73030MR1323800
  8. [8] E. M. STEIN, 1970, Singular Integrais and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ. Zbl0207.13501MR290095
  9. [9] M. VOGELIUS, I. BABUŠKA, 1981, On a dimensional reduction method, part I, II & III, Math. Comp., 37, 31-68 and 361-384. Zbl0523.65079MR628701

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