Pointwise superconvergence of recovered gradients for piecewise linear finite element approximations to problems of planar linear elasticity
George Goodsell, John R. Whiteman · Numerical Methods for Partial Differential Equations · 1990
Abstract In 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.