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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.


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