{ "id": "1311.3230", "version": "v2", "published": "2013-11-13T17:46:56.000Z", "updated": "2013-11-14T03:27:06.000Z", "title": "Order of convergence of the finite element method for the $p(x)-$Laplacian", "authors": [ "Leandro M. Del Pezzo", "Sandra Martínez" ], "comment": "18 pag, 1 fig", "categories": [ "math.NA" ], "abstract": "In this work, we study the rate of convergence of the finite element method for the $p(x)$Laplacian ($1< p_1\\leq p(x)\\leq p_2\\leq 2$) in two dimensional convex domains.", "revisions": [ { "version": "v2", "updated": "2013-11-14T03:27:06.000Z" } ], "analyses": { "keywords": [ "finite element method", "convergence", "dimensional convex domains" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.3230D" } } }