TY - JOUR
T1 - Polynomial Preserving Recovery for Anisotropic and Irregular Grids
AU - Zhimin Zhang
JO - Journal of Computational Mathematics
VL - 2
SP - 331
EP - 340
PY - 2004
DA - 2004/04
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10332.html
KW - Finite element, Superconvergence, Gradient recovery, A posteriori error estimate.
AB - <p style="text-align: justify;">Some properties of a newly developed polynomial preserving gradient recovery technique are discussed. Both practical and theoretical issues are addressed. Boundedness property is considered especially under anisotropic grids. For even-order finite element space, an ultra-convergence property is established under translation invariant meshes; for linear element, a superconvergence result is proven for unstructured grids generated by the Delaunay triangulation. &nbsp;</p>