Flux reconstruction for the P2 nonconforming finite element method with application to a posteriori error estimation

• Published in: Applied numerical mathematics Vol. 62; no. 12; pp. 1701 - 1717
• Main Author: Kim, Kwang-Yeon
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2012
• Subjects: A posteriori error estimation; Flux reconstruction; P2 nonconforming finite element method; Flux reconstruction; A posteriori error estimation; P2 nonconforming finite element method

In this work we propose a new and simple way of reconstructing H(div,Ω)-conforming flux approximations for the P2 nonconforming finite element method of second order elliptic problems which fulfill the local mass conservation and optimal a priori error estimates. This reconstruction is crucially use...