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A Mixed Finite Element Method for the Biharmonic Equation

1987; Society for Industrial and Applied Mathematics; Volume: 24; Issue: 4 Linguagem: Inglês

10.1137/0724048

1095-7170

Peter Monk,

Numerical methods in engineering

We consider the mixed finite element approximation of the biharmonic problem on a smooth domain with either clamped or simply supported boundary conditions. Error estimates are proved for the Ciarlet–Raviart formulation of the clamped plate problem and for a similar method for the simply supported plate problem.