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dirichlet boundary-value problem

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Lagrange multipliers for higher order elliptic operators
Carlos Zuppa
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 39 / Issue 2 / March 2005

Published online by Cambridge University Press:

15 April 2005, pp. 419-429

Print publication:

March 2005
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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.