Analysis of a discrete model for the contact problem between a membrane and an elastic obstacle

Aldo Maceri; Franco Maceri

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1986)

  • Volume: 80, Issue: 3, page 107-115
  • ISSN: 1120-6330

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Maceri, Aldo, and Maceri, Franco. "Analysis of a discrete model for the contact problem between a membrane and an elastic obstacle." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 80.3 (1986): 107-115. <http://eudml.org/doc/287327>.

@article{Maceri1986,
author = {Maceri, Aldo, Maceri, Franco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {piecewise linear approximation; equilibrium configuration; total energy minimum problem; mixed type variational inequality},
language = {eng},
month = {3},
number = {3},
pages = {107-115},
publisher = {Accademia Nazionale dei Lincei},
title = {Analysis of a discrete model for the contact problem between a membrane and an elastic obstacle},
url = {http://eudml.org/doc/287327},
volume = {80},
year = {1986},
}

TY - JOUR
AU - Maceri, Aldo
AU - Maceri, Franco
TI - Analysis of a discrete model for the contact problem between a membrane and an elastic obstacle
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1986/3//
PB - Accademia Nazionale dei Lincei
VL - 80
IS - 3
SP - 107
EP - 115
LA - eng
KW - piecewise linear approximation; equilibrium configuration; total energy minimum problem; mixed type variational inequality
UR - http://eudml.org/doc/287327
ER -

References

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  1. NECAS, J. (1967) - Les méthodes directes en théorie des équations elliptiques, Masson. Zbl1225.35003
  2. GUIDOBALDI, R. and TOSCANO, R. (1976) - Une disequazione variazionale connessa ad un problema di elasticità, «Ric. di Mat.», 25 (2), 229-245. Zbl0349.35025MR468497
  3. MACERI, A. (1984) - A discretization method for the problem of a membrane constrained by elastic obstacles, «Rend. Acc. Naz. dei Lincei», serie VIII, 77, 111-124. Zbl0628.73125MR884945
  4. CEA, J. (1971) - Optimization, Dunod. MR298892
  5. LUENBERGER, D.G. (1969) - Optimization by vector space methods, Wiley. Zbl0176.12701MR238472
  6. GLOWINSKI, R., LIONS, J.L. and TREMOLIERES, R. (1976) - Analyse numérique des inéquations variationnelles, Dunod. Zbl0358.65091
  7. GUIDOBALDI, R. and TOSCANO, R. (1977) - Proprietà della soluzione di un problema unilaterale di Dirichlet con vincolo elastico, «Ric. di Mat.», 26 (1), 85-102. Zbl0359.35016MR601075
  8. KARMANOV, V. (1977) - Programmation mathématique, Editions MIR. Zbl0379.90068MR469253
  9. KINDERLEHRER, D. and STAMPACCHIA, G. (1980) - An introduction to variational inequalities and their applications, Academic Press. Zbl0457.35001MR567696
  10. TEMAM, R. (1973) - Numerical analysis, Reidel. Zbl0261.65001MR347099
  11. TOSCANO, R. and MACERI, A. (1978) - Un problema di contatto tra membrane, «Rend. Acc. Naz. dei Lincei», serie VIII, 65, 69-77. Zbl0427.73055MR571033
  12. VILLAGGIO, P. (1981) - The Ritz method in solving unilateral problems in elasticity, «Meccanica», 3, vol. 16. Zbl0482.73013
  13. TOSCANO, R., MACERI, A. and MACERI, F. (1983) - Numerical analysis of a contact problem in membrane theory. «Int. J. of Modelling and Simulation», 2, vol. 3, 114-118. Zbl0442.73119

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