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Boundary subspaces for the finite element method with Lagrange multipliers. (English) Zbl 0422.65062


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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References:

[1] Babu?ka, I.: The finite element method with Lagrange multipliers. Numer. Math.20, 179-192 (1973) · Zbl 0258.65108 · doi:10.1007/BF01436561
[2] Babu?ka, I., Aziz, A.K.: Survey Lectures on the Mathematical Foundations of the Finite Element Method. In: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A.K. Aziz ed. New York: Academic, 1972 · Zbl 0268.65052
[3] Babu?ka, I., Oden, J.T., Lee, J.K.: Mixed-hybrid finite element approximations of second-order elliptic boundary value problem. Comp. Meth. Appl. Mech. Engng.11, 175-206 (1977) · Zbl 0382.65056 · doi:10.1016/0045-7825(77)90058-5
[4] Brezzi, F.: On the existence, uniqueness and approximations of saddlepoint problems arising from Lagrange multipliers. Rev. Francaise Automat. Informat. Recherche Operationelle Ser. Anal. Numèr,8, 129-151 (1974) · Zbl 0338.90047
[5] Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, 1978 · Zbl 0383.65058
[6] Lions, J.L., and Magenes, E.: Problèmes aux limites non homogènes et applications. Vol. 1, Paris: Dunod 1968 · Zbl 0165.10801
[7] Raviart, P.A. and Thomas, J.M.: Primal hybrid finite element methods for 2nd order elliptic equations. Math. Comp.31, 391-413 (1977) · Zbl 0364.65082
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