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Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements

  • Vladimir ShaydurovEmail author
  • Tianshi Xu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9045)

Abstract

This paper deals with the calculation of linear and quadratic functionals of approximate solutions obtained by the finite element method. It is shown that under certain conditions the output functionals of an approximate solution are computed with higher order of accuracy than that of the solution itself. These abstract results are illustrated by two numerical examples for the Poisson equation.

Keywords

Finite element method Output functionals Dual problems Hermite finite elements Bogner-Fox-Schmit element  Convergence order 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Computational Modeling of Siberian Branch of Russian Academy of SciencesKrasnoyarskRussia
  2. 2.Beihang UniversityBeijingChina

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