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  1. No Access

    Article

    A numerical schema for the transport of nutrients and hormones in plant growth

    Classical numerical methods exhibit numerical discrepancies, when we are dealing with the transport equation in domain of heterogeneous sizes. In this work, a numerical scheme, based on a domain decomposition ...

    S. Boujena, A. Chiboub, J. Pousin in Afrika Matematika (2014)

  2. No Access

    Article

    A posteriori error estimates and domain decomposition with nonmatching grids

    Let F be a nonlinear map** defined from a Hilbert space X into its dual X′, and let x be in X the solution of F(x)=0. Assume that, a priori, the zone where the gradient of the function x has a large variation ...

    J. Pousin, T. Sassi in Advances in Computational Mathematics (2005)

  3. No Access

    Article

    Identification of the diffusion coefficient for a semi-linear hyperbolic-parabolic problem with discontinuous nonlinear terms

    Numerical computations concerning geochemical processes in porous media require a knowledge of the values of the macroscopic parameters. In the context of the interpretation of leaching tests one such paramete...

    J. Pousin, A. Roukbi in Computational Geosciences (1998)

  4. No Access

    Article

    Adaptive finite element for semi-linear convection–diffusion problems

    In this article a strategy of adaptive finite element for semi-linear problems, based on minimizing a residual-type estimator, is reported. We get an a posteriori error estimate which is asymptotically exact w...

    L. Pouly, J. Pousin in Advances in Computational Mathematics (1997)

  5. No Access

    Article

    Consistency, stability, a priori and a posteriori errors for Petrov-Galerkin methods applied to nonlinear problems

    In an abstract framework we present a formalism which specifies the notions of consistency and stability of Petrov-Galerkin methods used to approximate nonlinear problems which are, in many practical situation...

    J. Pousin, J. Rappaz in Numerische Mathematik (1994)