The finite element method with penalty
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- by Ivo Babuška PDF
- Math. Comp. 27 (1973), 221-228 Request permission
Abstract:
An application of the penalty method to the finite element method is analyzed. For a model Poisson equation with homogeneous Dirichlet boundary conditions, a variational principle with penalty is discussed. This principle leads to the solution of the Poisson equation by using functions that do not satisfy the boundary condition. The rate of convergence is discussed.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 221-228
- MSC: Primary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1973-0351118-5
- MathSciNet review: 0351118