IP-DGFEM method for the $p(x)$- Laplacian

Details IP-DGFEM method for the $p(x)$- Laplacian IP-DGFEM method for the $p(x)$- Laplacian

2010-09-10

arxiv.org/abs/1009.2063v2

Mathematics

Numerical Analysis

26 pages, 2 figures

Scientific paper

In this paper we construct an "Interior Penalty" Discontinuous Galerkin method to approximate the minimizer of a variational problem related to the $p(x)-$laplacian. The function $p:\O\to [p_1,p_2]$ is log- H\"{o}lder continuous and $1

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