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Superconvergence for the gradient of finite element approximations by L2-projections

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Superconvergence for the gradient of finite element approximations by L2-projections

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Title: Superconvergence for the gradient of finite element approximations by L2-projections
Author: Heimsund, Bjorn-Ove; Tai, Xue Cheng; Wang, Junping
Copyright year: 2002.
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.
Subject: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis.
Type: Journal Article
Series/ Journal Title: SIAM Journal on Numerical Analysis.
School: School of Physical and Mathematical Sciences
Rights: SIAM Journal on Numerical Analysis © copyright 2002 Siam Society for Industrial and Applied Mathematics. The journal's website is located at http://www.siam.org/journals/sinum.php.
Version: Published version

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