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arxiv: 1608.08829 · v1 · pith:ZQXSSISUnew · submitted 2016-08-31 · 🧮 math.NA

Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous Media

classification 🧮 math.NA
keywords darcy-forchheimerexistenceflowformulationmediamixedporousproblem
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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 the existence of a solution for the transient problem.

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  1. A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations

    math.NA 2026-04 unverdicted novelty 5.0

    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...