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Superconvergence analysis and error expansion for the Wilson nonconforming finite element |
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| Authors: | Hongsen Chen Bo Li |
| Institution: | (1) Institut F\"ur Angewandte Mathematik, Universit\"at Heidelberg, Im Neuenheimer Feld 293, W-69120 Heidelberg, Germany e-mail: bx1{\tt @}vm.urz.uni-heidelberg.de , DE;(2) School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street S.E., Minneapolis, MN 55455, USA e-mail: bli{\tt @}math.umn.edu , US |
| Abstract: | Summary. In this paper the Wilson nonconforming finite element is considered for solving a class of two-dimensional second-order elliptic boundary value problems. Superconvergence estimates and error expansions are obtained for both uniform and non-uniform rectangular meshes. A new lower bound of the error shows that the usual error estimates are optimal. Finally a discussion on the error behaviour in negative norms shows that there is generally no improvement in the order by going to weaker norms. Received July 5, 1993 |
| Keywords: | Mathematics Subject Classification (1991): 65N30 |
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