Journal article
A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind
Applied numerical mathematics, Vol.52(1), pp.13-38
2005
DOI: 10.1016/j.apnum.2004.06.012
Abstract
In this paper, we perform an a posteriori error analysis for adaptive finite element solutions of elliptic variational inequalities of the second kind. A general framework for a posteriori error estimates is established by using duality theory in convex analysis. We then turn to an analysis of some particular a posteriori error estimates of residual type. Efficiency of the error estimators are investigated. Numerous numerical examples are included to illustrate the effectiveness of the a posteriori error estimates in adaptive solutions of the variational inequalities.
Details
- Title: Subtitle
- A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind
- Creators
- Viorel Bostan - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAWeimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAB.D Reddy - Department of Mathematics and Applied Mathematics, University of Cape Town, 7700 Rondebosch, South Africa
- Resource Type
- Journal article
- Publication Details
- Applied numerical mathematics, Vol.52(1), pp.13-38
- DOI
- 10.1016/j.apnum.2004.06.012
- ISSN
- 0168-9274
- eISSN
- 1873-5460
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983985973102771
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