224 citations
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Showing 2017 · math.NAShow all
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math.NA2017★ 1 cited
Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations
Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie +1
We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of the equations, we are…
math.NA2017★ 46 cited
Approximation of a Brittle Fracture Energy with a Constraint of Non-Interpenetration
Antonin Chambolle, Sergio Conti, Gilles Francfort
Linear fracture mechanics (or at least the initiation part of that theory) can be framed in a variational context as a minimization problem over a SBD type space. The corresponding…