Title

Natural superconvergence points in three-dimensional finite elements

Document Type

Article

Publication Title

SIAM Journal on Numerical Analysis

Abstract

A systematic and analytic process is conducted to identify natural superconvergence points of high degree polynomial C0 finite elements in a three-dimensional setting. This identification is based upon explicitly constructing an orthogonal decomposition of local finite element spaces. Derivative and function value superconvergence points are investigated for both the Poisson and the Laplace equations. Superconvergence results are reported for hexahedral, pentahedral, and tetrahedral elements up to certain degrees. © 2008 Society for Industrial and Applied Mathematics.

First Page

1281

Last Page

1297

DOI

10.1137/070681168

Publication Date

11-10-2008

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