FreeFem++ a posteriori package

Participants : Martin Vohralík, Zuqi Tang.

The scientific calculation code FreeFem++ is an example of a complex software numerical simulation tool relying on traditional matching triangular meshes. It encompasses all specification 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 stay of Z. Tang, we have integrated here some recent advances of the theory of a posteriori error estimation and of adaptive algorithms. In particular, (local) adaptive stopping criteria for the linear and nonlinear solvers have been implemented.