Babuška, Ivo The finite element method with Lagrangian multipliers. (English) Zbl 0258.65108 Numer. Math. 20, 179-192 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 687 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35J20 Variational methods for second-order elliptic equations × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] Babuška, I.: The stability of the domain of definition with respect to basic problems of the theory of partial differential equations, especially with respect to the theory of elasticity I, II. Czechoslovak Math. J. 76–105, 165–203 (1961). [2] Babuška, I.: Numerical solution of boundary value problems by perturbed variational principle. Technical Note BN-627 (1969), Institute for Fluid Dynamics and Applied Mathematics, University of Maryland. 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L., Magenes, E.: Problèmès aux limites non homogènes et applications. Vol. 1, Paris: Dunod 1968. · Zbl 0165.10801 [22] Rashid, Y. R.: On computational methods in solid mechanics and stress analysis. Conf. on the effective use of computers in the nuclear industry, April 21–23, 1969, Knoxville. [23] Slobodeckii, M. I.: Generalized Sobolev spaces and their applications to boundary problems for partial differential equations. Am. Math. Soc. Transl.21, 207–275 (1966). [24] Strang, G.: The finite element method and approximation theory. Numerical solution of partial differential equations II. SYNSPADE 1970, edited by B. Hubbard. New York, London: Academic Press 1971 (547–585). [25] Washizu, K.: Variational methods in elasticity and plasticity. Pergamon Press 1968. · Zbl 0164.26001 [26] Zlámal, M.: On the finite element method. Numer. Math.12, 394–409 (1968). · Zbl 0176.16001 · doi:10.1007/BF02161362 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.