Abstract

AbstractIn this paper we consider piecewise linear finite element approximations to the problem of planar linear elasticity, and present some new estimates for the pointwise (L∞) superconvergence of a recovered gradient function to the gradient of the true solution. This extends to linear elasticity the previous work of the present and other authors on L∞ results for Poisson problems, and at the same time, to the L∞ norm the previous L2 results of the authors for linear elasticity.

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