Notes on the Numerical Solution of the Biharmonic Equation

1 April 1973

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 11 (2) , 213-226
https://doi.org/10.1093/imamat/11.2.213

Abstract

It is shown that the solution of the differenced form of the Dirichlet problem for the biharmonic equation by iteration is achieved in O(h⁻¹)log h² steps of iteration where h is a step-size parameter from the mesh.

Keywords

EQUATION BY ITERATION
BIHARMONIC EQUATION
LOG H2
H2 STEPS
DIFFERENCED FORM
DIRICHLET PROBLEM
STEP SIZE

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