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A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems

Lamichhane, Bishnu

Description

We propose a stabilized finite element method for the approximation of the biharmonic equation with a clamped boundary condition. The mixed formulation of the biharmonic equation is obtained by introducing the gradient of the solution and a Lagrange multiplier as new unknowns. Working with a pair of bases forming a biorthogonal system, we can easily eliminate the gradient of the solution and the Lagrange multiplier from the saddle point system leading to a positive definite formulation. Using a...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/59447
Source: Journal of Computational and Applied Mathematics
DOI: 10.1016/j.cam.2011.05.005

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