A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs

Abstract

Journal Article A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs Get access Paul Houston, Paul Houston † School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK †Email: [e-mail] Search for other works by this author on: Oxford Academic Google Scholar Endre Süli, Endre Süli Computing Laboratory, University of Oxford, Parks Road, Oxford OX1 3QD, UK Search for other works by this author on: Oxford Academic Google Scholar Thomas P. Wihler Thomas P. Wihler Department of Mathematics and Statistics, McGill University, 805 Sherbrooke West, Montréal, Québec H3A 2K6, Canada Search for other works by this author on: Oxford Academic Google Scholar IMA Journal of Numerical Analysis, Volume 28, Issue 2, April 2008, Pages 245–273, https://doi.org/10.1093/imanum/drm009 Published: 28 July 2008 Article history Received: 02 November 2006 Revision received: 05 April 2007 Published: 28 July 2008