L∞-error estimates for linear elasticity problems

摘要

Two-dimensional linear elasticity problems are approximately solved by a mixed finite-element method based on Raviart—Thomas—Nedelec spaces; maximum-norm error estimates of optimal rate and almost optimal regularity are derived for the displacement field, and of optimal regularity and almost optimal rate for the stress tensor. The superconvergence of the approximate displacement field to the L2-projection of the actual one is established.