Browsing by Author "Girault, Vivette"

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    Strong Convergence of Discrete DG Solutions of the Heat Equation
    (2015-10) Girault, Vivette; Li, Jizhou; Riviere, Beatrice
    A convergence analysis to the weak solution is derived for interior penalty discontinuous Galerkin methods applied to the heat equation in two and three dimensions under general mixed boundary conditions. Strong convergence is established in the DG norm, as well as in the Lp norm, in space and in the L2 norm in time.
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    Time-Dependent Coupling of Navier-Stokes and Darcy Flows
    (Cambridge University Press, 2013) Cesmelioglu, Aycil; Girault, Vivette; Riviere, Beatrice
    A weak solution of the coupling of time-dependent incompressible NavierﾖStokes equations with Darcy equations is defined. The interface conditions include the BeaversﾖJosephﾖSaffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.