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Lagrange multipliers for higher order elliptic operators

Published online by Cambridge University Press:  15 April 2005

Carlos Zuppa
Carlos Zuppa*
Affiliation:
Departamento de Matemáticas, Universidad Nacional de San Luis, Chacabuco y Pedernera, 5700, San Luis, Argentina. [email protected]
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Abstract

In this paper, the Babuška's theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.

Keywords

Elliptic operatorsDirichlet boundary-value problemLagrange multipliers.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 2 , March 2005 , pp. 419 - 429
Copyright
© EDP Sciences, SMAI, 2005

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References

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C. Zuppa, G. Simonetti and A. Azzam, The h-p Clouds meshless method and lagrange multipliers for higher order elliptic operators . In preparation.