@Article{JCM-22-857, author = {Zhu , Qiding and Meng , Lingxiong}, title = {The Derivative Ultraconvergence for Quadratic Triangular Finite Elements}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {6}, pages = {857--864}, abstract = {
This work concerns the ultraconvergence of quadratic finite element approximations of elliptic boundary value problems. A new, discrete least-squares patch recovery technique is proposed to post-process the solution derivatives. Such recovered derivatives are shown to possess ultraconvergence. The keys in the proof are the asymptotic expansion of the bilinear form for the interpolation error and a "localized" symmetry argument. Numerical results are presented to confirm the analysis.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10289.html} }