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

• Main Authors: Heimsund, Bjorn-Ove, Tai, Xue Cheng, Wang, Junping
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2009
• Subjects: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
• Online Access: https://hdl.handle.net/10356/90786; http://hdl.handle.net/10220/6049; http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ELSEVIER_SCOPUS&id=doi:&genre=&isbn=&issn=&date=2002&volume=40&issue=4&spage=1263&epage=1280&aulast=Heimsund&aufirst=%20B%20%2DO&auinit=&title=SIAM%20Journal%20on%20Numerical%20Analysis&atitle=Superconvergence%20for%20the%20gradient%20of%20finite%20element%20approximations%20by%20L2%20projections&sici.
• Institution: Nanyang Technological University

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...