%0 Journal Article
%T A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%A Bourgeois, Laurent
%< avec comité de lecture
%@ 0266-5611
%J Inverse Problems
%I IOP Publishing
%V 21
%N 3
%P 1087-1104
%8 2005
%D 2005
%R 10.1088/0266-5611/21/3/018
%Z Mathematics [math]/Numerical Analysis [math.NA]Journal articles
%X This work concerns the use of the method of quasi-reversibility to solve the Cauchy problem for Laplace's equation. We describe a mixed formulation of the method and its relationship with a classical formulation. A discretized formulation using finite elements of class C0 is derived from the mixed formulation, and convergence of the solution of this discretized problem with noisy data to the exact solution is analysed. Finally, a simple numerical example is implemented in order to show the feasibility of the method. © 2005 IOP Publishing Ltd.
%G English
%L hal-00876244
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00876244
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