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The finite element method with penalty
Ivo Babuška
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Source: Crossref
Published: Jan 1, 1973
DOI: 10.1090/s0025-5718-1973-0351118-5
Open original source ↗Source 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.
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