Year: 2019
Author: Lingxue Zhu, Zhenhua Zhou
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 2 : pp. 428–451
Abstract
An adaptive continuous interior penalty finite element method (ACIPFEM) for symmetric second order linear elliptic equations is considered. Convergence and quasi-optimality of the ACIPFEM are proved. Compared with the analyses for the adaptive finite element method or the adaptive interior penalty discontinuous Galerkin method, extra work is done to overcome the difficulties caused by the additional penalty term. Numerical tests are provided to verify the theoretical results and show advantages of the ACIPFEM.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2018-0160
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 2 : pp. 428–451
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Continuous interior penalty finite element method adaptive algorithm convergence quasi-optimality.