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    Chapter and Conference Paper

    Convergence of a TPFA Finite Volume Scheme for Mixed-Dimensional Flow Problems

    two-point flux approximation (TPFA) finite volume method is considered for mixed-dimensional fracture flow problems. Its construction is based on applying a face-based quadrature rule to a conforming, mix...

    Wietse M. Boon, Jan M. Nordbotten in Finite Volumes for Complex Applications IX… (2020)

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    Chapter and Conference Paper

    Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media

    this paper, we develop a discretization for the non-linear coupled model of classical Darcy-Forchheimer flow in deformable porous media, an extension of the quasi-static Biot equations. The continuous m...

    Jakub W. Both, Jan M. Nordbotten… in Finite Volumes for Complex Applications IX… (2020)

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    Article

    Inverse Scale Spaces for Nonlinear Regularization

    Error minimization of global functionals provides a natural setting for analyzing image processing and regularization. This approach leads to scale spaces, which in the continuous formulation are the solution ...

    Johan Lie, Jan M. Nordbotten in Journal of Mathematical Imaging and Vision (2007)