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An iterative finite element method for approximating the biharmonic equation


Author: P. B. Monk
Journal: Math. Comp. 51 (1988), 451-476
MSC: Primary 65N15; Secondary 65N30
DOI: https://doi.org/10.1090/S0025-5718-1988-0935080-0
MathSciNet review: 935080
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Abstract: A mixed finite element method for the biharmonic model of the simply supported and clamped plate is analyzed and error estimates are obtained. We show that the discrete problem may be solved efficiently by using the conjugate gradient method and a sequence of Dirichlet problems for Poisson's equation.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1988-0935080-0
Keywords: Iterative method, mixed method, error estimate, biharmonic equation
Article copyright: © Copyright 1988 American Mathematical Society

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