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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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DOI

10.1002/maco.201570081

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0945-3245

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Controllability of an Elliptic equation and its Fi

Authors: D Chenais Enrique Zuazua
Publish Date: 2002/12/13
Volume: 95, Issue: 1, Pages: 63-99
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Abstract

In this article we study a controllability problem for an elliptic partial differential equation in which the control is the shape of the domain where the equation holds The quantity to be controlled is the trace of the solution with a given right hand side source term into an open subdomain The mapping that associates this trace to the shape of the domain is nonlinear We first consider the linearized problem and show an approximate controllability property We then address the same questions in the context of a finite difference discretization of the elliptic problem We prove a local controllability result applying the Inverse Function Theorem together with a ``unique continuation property of the underlying adjoint discrete system

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  3. An optimal adaptive finite element method for elastoplasticity
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