Superconvergence for the gradient of finite element approximations by L2-projections
Tai, Xue Cheng
Date of Issue2002
School of Physical and Mathematical Sciences
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.
DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
SIAM Journal on Numerical Analysis.
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