3 papers
math.NA2016
Efficient Realization of the Mixed Finite Element Discretization for nonlinear Problems
Peter Knabner, Gerhard Summ
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…
math.NA2016
Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous Media
Peter Knabner, Gerhard Summ
We consider the mixed formulation of the equations governing Darcy-Forchheimer flow in porous media. We prove existence and uniqueness of a solution for the stationary problem and…
math.NA2016
Hybrid Discretization Methods for Transient Numerical Simulation of Combustion in Porous Media
Peter Knabner, Gerhard Summ
We present an algorithm for the numerical solution of the equations governing combustion in porous inert media. The discretization of the flow problem is performed by the mixed fin…