Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle

Chao Xu and Dongyang Shi

Applied Mathematics and Computation, 2019, vol. 348, issue C, 1-11

Abstract: Superconvergence analysis of nonconforming finite element methods (FEMs) are discussed for solving the second order variational inequality problem with displacement obstacle. The elements employed have a common typical character, i.e., the consistency error can reach order O(h3/2−ɛ), nearly 1/2 order higher than their interpolation error when the exact solution of the considered problem belongs to H5/2−ɛ(Ω) for any ε > 0. By making full use of special properties of the element’s interpolations and Bramble–Hilbert lemma, the superconvergence error estimates of order O(h3/2−ɛ) in the broken H1-norm are derived. Finally, some numerical results are provided to confirm the theoretical results.

Keywords: Nonconforming FEMs; Variational inequality problem; Displacement obstacle; Superconvergence analysis (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:348:y:2019:i:c:p:1-11

DOI: 10.1016/j.amc.2018.08.015

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