Numerische Mathematik

, Volume 20, Issue 3, pp 179–192

The finite element method with Lagrangian multipliers

  • Ivo Babuška

DOI: 10.1007/BF01436561

Cite this article as:
Babuška, I. Numer. Math. (1973) 20: 179. doi:10.1007/BF01436561


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.

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Ivo Babuška
    • 1
  1. 1.Institut for Fluid Dynamic and Applied MathematicsUniversity of MarylandCollege ParkU.S.A.

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