论文信息 - Superconvergence analysis and error expansion for the Wilson nonconforming finite element

Superconvergence analysis and error expansion for the Wilson nonconforming finite element

SummaryIn 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.

Bo Li | Hongsen Chen

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