Numerical analysis of the planewave discretization of
 some orbital-free and Kohn-Sham models

Eric Cancès; Rachida Chakir; Yvon Maday

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Displaying similar documents to “Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models”

A “Natural” Norm for the Method of Characteristics Using Discontinuous Finite Elements : 2D and 3D case

Jacques Baranger, Ahmed Machmoum (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider the numerical approximation of a first order stationary hyperbolic equation by the method of characteristics with pseudo time step using discontinuous finite elements on a mesh $𝒯_{h}$ . For this method, we exhibit a “natural” norm || || for which we show that the discrete variational problem $P_{h}^{k}$ is well posed and we obtain an error estimate. We show that when goes to zero problem $(P_{h}^{k})$ (resp. the || || norm) has as a limit problem ( ) (resp. the || || norm) associated...