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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Analysis of a mixed finite element method for elasto-plastic plates
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by F. Brezzi, C. Johnson and B. Mercier PDF
Math. Comp. 31 (1977), 809-817 Request permission

Abstract:

We consider a mixed finite element method for finding approximations of the displacement and moments in a thin elastic-perfectly plastic plate. Under some weak assumptions concerning the regularity of the exact solution, we prove an error estimate for the moments.
References
    F. BREZZI & P. A. RAVIART, "Mixed finite element methods for 4th order problems," Topics in Numerical Analysis. III, J. MILLER (Editor), Academic Press, New York, 1976. J. BÄCKLUND, "Mixed finite element analysis of elasto-plastic plates in bending," Arch. Mech., v. 24, 1972, pp. 319-335.
  • Ivar Ekeland and Roger Temam, Analyse convexe et problèmes variationnels, Collection Études Mathématiques, Dunod, Paris; Gauthier-Villars, Paris-Brussels-Montreal, Que., 1974 (French). MR 0463993
    • K. HELLAN, "An analysis of elastic plates in flexure by a simplified finite element method," Acta Polytech. Scand. Ci. Ser., v. 46, 1967. L. R. HERRMANN, "Finite element bending analysis for plates," J. Engr. Mech. Div. ASCE, EM5, a3, 1967, pp. 49-83.
  • Claes Johnson, On the convergence of a mixed finite-element method for plate bending problems, Numer. Math. 21 (1973), 43–62. MR 388807, DOI 10.1007/BF01436186
  • Claes Johnson, Existence theorems for plasticity problems, J. Math. Pures Appl. (9) 55 (1976), no. 4, 431–444. MR 438867
  • C. Johnson, A mixed finite element method for plasticity problems with hardening, SIAM J. Numer. Anal. 14 (1977), no. 4, 575–583. MR 489265, DOI 10.1137/0714037
  • V. A. Kondrat′ev, Boundary value problems for elliptic equations in domains with conical or angular points, Trudy Moskov. Mat. Obšč. 16 (1967), 209–292 (Russian). MR 0226187
    • C. E. MASSONNET & M. A. SAVE, Plastic Analysis and Design of Plates, Shells and Disks, North-Holland, Amsterdam, 1972. B. MERCIER, Sur la Théorie et l’Analyse Numérique de Problèmes de Plasticité, Thèse, Paris, 1977.
  • R. Tyrrell Rockafellar, Convex analysis, Princeton Mathematical Series, No. 28, Princeton University Press, Princeton, N.J., 1970. MR 0274683
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Math. Comp. 31 (1977), 809-817
  • MSC: Primary 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1977-0443373-1
  • MathSciNet review: 0443373