Abstract
The biharmonic equation can be decomposed into a finite number of Dirichlet problems. We use this decomposition to built a fast solver for the biharmonic equation; this block is used in a least square formulation of the Navier-Stokes equation. The techniques of optimal control are used together with a conjugate gradient method and a P1 Finite Element discretization.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Nicolai, R., Pironneau, O. (1984). Abstract Least Square in ω-ψ Discretized with Piecewise Linear Conforming Elements. In: Morgan, K., Periaux, J., Thomasset, F. (eds) Analysis of Laminar Flow over a Backward Facing Step. Notes on Numerical Fluid Mechanics, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14242-3_20
Download citation
DOI: https://doi.org/10.1007/978-3-663-14242-3_20
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08083-9
Online ISBN: 978-3-663-14242-3
eBook Packages: Springer Book Archive