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Title: Superconvergence for the gradient of finite element approximations by L2-projections
Authors: Heimsund, Bjorn-Ove
Tai, Xue Cheng
Wang, Junping
Keywords: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
Issue Date: 2002
Source: Heimsund, B. O., Tai, X. C., & Wang, J. (2002). Superconvergence for the gradient of finite element approximations by L2-projections. SIAM Journal on Numerical Analysis, 40(4), 1263-1280.
Series/Report no.: SIAM Journal on Numerical Analysis.
Abstract: A gradient recovery technique is proposed and analyzed for finite element solutions which provides new gradient approximations with high order of accuracy. The recovery technique is based on the method of least-squares surface fitting in a finite-dimensional space corresponding to a coarse mesh. It is proved that the recovered gradient has a high order of superconvergence for appropriately chosen surface fitting spaces. The recovery technique is robust, efficient, and applicable to a wide class of problems such as the Stokes and elasticity equations.
ISSN: 0036-1429
DOI: 10.1137/S003614290037410X.
Rights: SIAM Journal on Numerical Analysis © copyright 2002 Siam Society for Industrial and Applied Mathematics. The journal's website is located at
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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