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Finite element methods for constrained problems in elasticity. (English) Zbl 0486.73068

74S05 Finite element methods applied to problems in solid mechanics
49M30 Other numerical methods in calculus of variations (MSC2010)
49M29 Numerical methods involving duality
74B99 Elastic materials
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
49J40 Variational inequalities
Full Text: DOI
[1] Babuska, Num. Mat. 20 (1973)
[2] Babuska, Numer. Math. 16 pp 322– (1971)
[3] Babuska, Computing 5 pp 207– (1970)
[4] and , ’Survey lectures on the mathematical foundations of the finite element method, in Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (Ed. ) Academic Press, N.Y., 1972, pp. 1-354.
[5] Brezzi, R.A.I.R.O. 8 (1974)
[6] and Convex Analysis, and Variational Problems, North-Holland, Amsterdam, 1976.
[7] and Finite Element Methods for the Navier Stokes Equations, Lecture Notes in Mathematics, vol. 749, Springer-Verlag, Berlin, 1980.
[8] ’Equivalence of finite elements for nearly incompressible elasticity’ J. Appl. Mech. (March 1977).
[9] and , ’Analysis of some mixed finite element methods related to reduced integration’ Research Report, Dept. of computer Science, Chalmers University of Technology, and the University of Göteborg, Fall, 1980.
[10] The Mathematical Theory of Viscous Incompressible Flows, Gordon & Breach, New York, 1969.
[11] Lee, Int. J. num. Meth. Engng 14 pp 1785– (1979)
[12] Malkus, Computer Meth. Appl. Mech. Engr. 15 (1978) · Zbl 0381.73075 · doi:10.1016/0045-7825(78)90005-1
[13] and , ’Existence theory for a class of problems in nonlinear elasticity’ TICOM Report 78-3, The University of Texas at Austin, Austin, Texas, 1978.
[14] , and , ’Reduced integration, and exterior penalty methods for finite element approximations of contact problems in incompressible elasticity’ TICOM Report 80-2, The University of Texas at Austin, Austin, Texas, 1980.
[15] , and , ’RIP-methods for contact problems in incompressible elasticity’ TICOM Report 80-7, The University of Texas at Austin, Austin, Texas, 1980.
[16] Navier-Stokes Equations, North-Holland, Amsterdam, 1974.
[17] Zienkiewicz, Int. J. num. Meth. Engng 3 (1971)
[18] and Introduction to Functional Analysis, 2nd edn, Wiley, N.Y., 1980.
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