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====== Inverse Methods ======
Two variational inverse methods have been implemented within Elmer/Ice to inverse either the basal friction coefficient field beta(x,y) or the fluidity parameter A(x,y,z). Both methods are based on the minimisation of a cost function that measures the mismatch between modelled and observed velocities. These two methods are:\\
* the linear adjoint method, following Morlighem et al. (2010)
* a Robin type method, from Arthen and Gudmundsson (2010)
//some info about the Robin type method, in the outputfile related to the costfunction the columns follow this convention:\\
1st column: number of iteration\\
2nd column: total cost function\\
3rd column: surface term of the cost function measuring the mismatch between Neumann and Dirichlet problem\\
4th column: integral on the beta of the derivative of beta (penalisation term) \\
For the Lambda-curve plot column 4 has to be plotted against column 3 for different values of lambda. Note, that it is $2=$3+0.5*lambda$4".
//
Adjoint inverse methods have been re-organised in Spring 2020; documentation is available with the elmerice sources
[[https://github.com/ElmerCSC/elmerfem/tree/elmerice/elmerice/Solvers/Documentation|here]].