6533b852fe1ef96bd12ab5a2

RESEARCH PRODUCT

Postprocessing of a Finite Element Scheme with Linear Elements

Pekka NeittaanmäkiMichal Křížek

subject

Scheme (mathematics)Convergence (routing)Applied mathematicsNumerical testsMixed finite element methodSuperconvergenceFinite element methodMathematicsExtended finite element method

description

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 Křižek and Neittaanmaki ([20]) 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.

yearjournalcountryeditionlanguage
1987-01-01
https://doi.org/10.1007/978-3-322-85997-6_7