Lagrange multipliers for higher order elliptic operators

Carlos Zuppa
2005 Mathematical Modelling and Numerical Analysis  
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. Mathematics Subject Classification. 41A10, 41A17, 65N15, 65N30.
doi:10.1051/m2an:2005013 fatcat:tdlimrbytzfqndwud55nswpwgq