Resumen de Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems

Runchang Lin, Zhimin Zhang

• In this paper, a C0 least-squares finite element method for second-order two-point boundary value problems is considered. The problem is recast as a first-order system.

  Standard and improved optimal error estimates in maximum-norms are established.

  Superconvergence estimates at interelement, Lobatto, and Gauss points are developed.

  Numerical experiments are given to illustrate theoretical results.