A general iterative linearization scheme is proposed, analyzed for convergence at the discrete level, and shown numerically to be robust for the nonlinear algebraic systems from backward Euler and mixed finite element discretization of the slightly compressible Darcy-Forchheimer equations.
Kieu, Existence of a solution for generalized Forchheimer flow in porous media with minimal regularity conditions, J
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A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations
A general iterative linearization scheme is proposed, analyzed for convergence at the discrete level, and shown numerically to be robust for the nonlinear algebraic systems from backward Euler and mixed finite element discretization of the slightly compressible Darcy-Forchheimer equations.