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Efficient Realization of the Mixed Finite Element Discretization for nonlinear Problems

We consider implementational aspects of the mixed finite element method for a special class of nonlinear problems. We establish the equivalence of the hybridized formulation of the mixed finite element method to a nonconforming finite element method with augmented Crouzeix-Raviart ansatz space. We discuss the reduction of unknowns by static condensation and propose Newton's method for the solution of local and global systems. Finally, we show, how such a nonlinear problem arises from the mixed formulation of Darcy-Forchheimer flow in porous media.

preprint2016arXivOpen access
Peter KnabnerGerhard Summ
math.NA
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Open access2 authors1 topic
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Peter KnabnerGerhard Summ

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