Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow

Abstract

Journal Article Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow Get access Xiaobing Feng, Xiaobing Feng * Department of Mathematics, The University of Tennessee, Knoxville, TN 37996, USA *Corresponding author: xfeng@math.utk.edu Search for other works by this author on: Oxford Academic Google Scholar Yukun Li Yukun Li Department of Mathematics, The University of Tennessee, Knoxville, TN 37996, USAyli@math.utk.edu Search for other works by this author on: Oxford Academic Google Scholar IMA Journal of Numerical Analysis, Volume 35, Issue 4, October 2015, Pages 1622–1651, https://doi.org/10.1093/imanum/dru058 Published: 09 December 2014 Article history Received: 28 October 2013 Revision received: 07 November 2014 Published: 09 December 2014