Abstract:We highlight the interest and the limitations of the L 1 -based Young measure technique for studying convergence of numerical approximations for diffusion problems of the variable-exponent p(x)and p(u)laplacian kind. CVFE (Control Volume Finite Element) and DDFV (Discrete Duality Finite Volume) schemes are analyzed and tested. In the situation where the variable exponent is log-Hölder continuous, convergence is proved along the guidelines elaborated in [Andreianov, Bendahmane, Ouaro, Nonlinear Analysis, 2010, … Show more
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