Postprocessing of a finite element scheme with linear elements
Neittaanmäki, P., Křižek, M. (1987). Postprocessing of a finite element scheme with linear elements. In W. Hackbusch & K. Witsch (Eds) Numerical Techniques in Continuum Mechanics, pp. 69-83. doi:10.1007/978-3-322-85997-6_7
© the Authors & Friedr. Vieweg & Sohn
In this contribution we first give a brief survey of postprocessing techniques for accelerating the convergence of finite element schemes for elliptic problems. We also generalize a local superconvergence technique recently analyzed by Křížek and Neittaanmäki to a global technique. Finally, we show that it is possible to obtain O(h4) accuracy for the gradient in some cases when only linear elements are used. Numerical tests are presented.
PublisherFriedr. Vieweg & Sohn
Parent publication ISBN978-3-528-08091-4
Is part of publicationNumerical Techniques in Continuum Mechanics
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