Geodesic
A multigrid method for distributed parameter estimation problems
Electronic transactions on numerical analysis, Tome 15 (2003), pp. 1-17
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 
@article{ETNA_2003__15__a14,
     author = {Ascher,  U.M. and Haber,  E.},
     title = {A multigrid method for distributed parameter estimation problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--17},
     year = {2003},
     volume = {15},
     zbl = {1031.65108},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2003__15__a14/}
}
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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/