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The finite element method with Lagrangian multipliers
Authors:Ivo Babu?ka
Institution:(1) Institut for Fluid Dynamic and Applied Mathematics, University of Maryland, 20742 College Park, U.S.A.
Abstract:Summary The Dirichlet problem for second order differential equations is chosen as a model problem to show how the finite element method may be implemented to avoid difficulty in fulfilling essential (stable) boundary conditions. The implementation is based on the application of Lagrangian multiplier. The rate of convergence is proved.This paper was supported by the Atomic Energy Commission under Contract No. AEC AT (40-1) 3443/4.
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