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

• Autores: Runchang Lin, Zhimin Zhang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 236, Nº 17, 2012, págs. 4436-4447
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.04.016
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• Resumen

  • 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.