Order of convergence of the finite element method for the $p(x)-$Laplacian

Abstract

In this work, we study the rate of convergence of the finite element method for the $p(x)$Laplacian ($1<p_1\le p(x)\le p_2\le 2$) in two dimensional convex domains.

18 pag, 1 fig

References in corpus (3)

• Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian
• $H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains
• Finite element approximation of the $p(\cdot )$-Laplacian