Geodesic
A multigrid method for distributed parameter estimation problems
Electronic transactions on numerical analysis, Tome 15 (2003), pp. 1-17.

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Summary: This paper considers problems of distributed parameter estimation from data measurements on solutions of partial differential equations (PDEs). A nonlinear least squares functional is minimized to approximately recover the sought parameter function (i.e., the model). This functional consists of a data fitting term, involving the solution of a finite volume or finite element discretization of the forward differential equation, and a Tikhonov-type regularization term, involving the discretization of a mix of model derivatives.
Classification : 65M32, 65N55
Keywords: distributed parameter estimation, inverse problem, multigrid method 
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     author = {Ascher, U.M. and Haber, E.},
     title = {A multigrid method for distributed parameter estimation problems},
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     volume = {15},
     year = {2003},
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Ascher, U.M.; Haber, E. A multigrid method for distributed parameter estimation problems. Electronic transactions on numerical analysis, Tome 15 (2003), pp. 1-17. http://geodesic.mathdoc.fr/item/ETNA_2003__15__a14/