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Although the Lagrange multiplier method is not a Rayleigh-Ritz-Galerkin approximation scheme, it is shown that at least asymptotically the Lagrange multiplier method has some of the properties of such ...
Barbara I. Wohlmuth, A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier, SIAM Journal on Numerical Analysis, Vol. 38, No. 3 (2001), pp. 989-1012 ...