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## [Getfem-users] Non convex problems and Getfem solver

 From: David Danan Subject: [Getfem-users] Non convex problems and Getfem solver Date: Wed, 13 Jan 2016 03:38:27 -0500

Dear users,

i would like to know whether the Getfem solver can handle non-convex problems, let's say for instance a Signorini problem with a non monotone friction law where the coefficient of friction is described by
\mu(\|\dot{\bu}_\tau\|)=(a-b)\cdot e^{-\alpha\|\dot{\bu}_\tau\|} +b, where a,b, \alpha >0 et a\geq b.

If it is, what kind of procedure is used with the Newton iteration? Convexification iteration ( fix the value of the coefficient of friction, in that case, at each "
Convexification " iteration to a given value depending on the tangential slip rate found in the previous iteration) ? Something else?