The finite element method with Lagrangian multipliers
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- Babuška, I. Numer. Math. (1973) 20: 179. doi:10.1007/BF01436561
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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.