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 | References | Similar Articles | Additional Information

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