A high-accuracy post-processing technique for free boundaries in finite element approximations to obstacle problems
type: Item
instance of: scholarly article
title: A high-accuracy post-processing technique for free boundaries in finite element approximations to obstacle problems
zbMATH Open document ID: 0951.65062
author: R. Z. Dautov
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-03T00:00:00Z
review text: A suitable post-processing technique is combined with finite element approximations to obstacle problems. If the coincidence set is an interior starlike domain with analytical boundary \(F\), the author defines a discrete free boundary so that it can be easily computed and converges of distance \(h\) from \(F\) with the rate \(\varepsilon(h)\ln^3(1/h)\), \(\varepsilon(h)=h\|{u-u_h}\|_{H^1}+\|u-u_h\|_{L_2}\). Here \(H^1, L_2\) are the classical Hilbert spaces.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 1467873
zbMATH Keywords: variational inequalities
zbMATH Keywords: finite element approximations
zbMATH Keywords: free-boundary problem
zbMATH Keywords: post-processing technique
zbMATH Keywords: obstacle problems
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1467873