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Section: New Software and Platforms

FreeFem++

Participants : Martin Vohralík, Martin Čermák, Zuqi Tang.

The scientific calculation code FreeFem++ is an example of a complex software numerical simulation tool. It in particular encompasses all specifications of the problem, the choice and implementation of the numerical method, the choice and implementation of the linearization method (nonlinear solver), and the choice and implementation of the method of solution of the associated linear systems (linear solver). In the post-doc stays of M. Čermák and Z. Tang, we integrated there the most recent advances of the theory of a posteriori error estimation and of adaptive algorithms. In particular, adaptive stopping criteria for the linear and nonlinear solvers were implemented.