An analysis of finite volume element method for solving the Signorini problem

Tie Zhang and Zheng Li

Applied Mathematics and Computation, 2015, vol. 270, issue C, 830-841

Abstract: We propose and analyze the finite volume element method for solving the Signorini problem. The stability and the optimal H1-convergence rate are given. Particularly, we establish a superclose interpolation estimate for the bilinear form of this method. Based on this estimate and the interpolation post-processing technique, we derive an O(h32)-order superconvergence in the H1-norm under a proper regularity condition. Finally, an asymptotically exact a posteriori error estimator also is given for the error ∥u−uh∥1.

Keywords: Finite volume element; Signorini problem; Optimal error estimate; Superconvergence; A posteriori error estimate (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:830-841

DOI: 10.1016/j.amc.2015.08.106

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