Displaying similar documents to “A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations”

error estimates for a nonconforming finite element discretization of the heat equation

Serge Nicaise, Nadir Soualem (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The paper presents an error estimator for a (piecewise linear) nonconforming finite element approximation of the heat equation in ℝ d , or 3, using backward Euler's scheme. For this discretization, we derive a residual indicator, which use a spatial residual indicator based on the jumps of normal and tangential derivatives of the nonconforming approximation and a time residual indicator based on the jump of broken gradients at each time step. Lower and upper bounds form the main...

Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations

Antoine Gloria (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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We introduce and analyze a numerical strategy to approximate effective coefficients in stochastic homogenization of discrete elliptic equations. In particular, we consider the simplest case possible: An elliptic equation on the -dimensional lattice ℤ d with independent and identically distributed conductivities on the associated edges. Recent results by Otto and the author quantify the error made by approximating the homogenized coefficient by the averaged energy of a regularized corrector...