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4 papers · 2 filters
Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations
C. Le Bris, T. Lelievre, Y. Maday
We investigate mathematically a nonlinear approximation type approach recently introduced in [A. Ammar et al., J. Non-Newtonian Fluid Mech., 2006] to solve high dimensional partial…
Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows
Pierre Sochala, Alexandre Ern, Serge Piperno
Robust and accurate schemes are designed to simulate the coupling between subsurface and overland flows. The coupling conditions at the interface enforce the continuity of both the…
Generalized Navier Boundary Condition and Geometric Conservation Law for surface tension
J. -F. Gerbeau, T. Lelievre
We consider two-fluid flow problems in an Arbitrary Lagrangian Eulerian (ALE) framework. The purpose of this work is twofold. First, we address the problem of the moving contact li…
Free-energy-dissipative schemes for the Oldroyd-B model
Sébastien Boyaval, Tony Lelièvre, Claude Mangoubi
In this article, we analyze the stability of various numerical schemes for differential models of viscoelastic fluids. More precisely, we consider the prototypical Oldroyd-B model,…