Numerical inclusion methods of solutions for variational inequalities

Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.479

Title:	Numerical inclusion methods of solutions for variational inequalities
Authors:	Ryoo, C.S. Agarwal, R.P.
Keywords:	Error estimates Finite element method Fixed-point theorem Numerical verification Variational inequalities
Issue Date:	20-Aug-2002
Citation:	Ryoo, C.S., Agarwal, R.P. (2002-08-20). Numerical inclusion methods of solutions for variational inequalities. International Journal for Numerical Methods in Engineering 54 (11) : 1535-1556. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.479
Abstract:	We consider a numerical method that enables us to verify the existence of solutions for variational inequalities. This method is based on the infinite dimensional fixed point theorems and explicit error estimates for finite element approximations. Using the finite element approximations and explicit a priori error estimates, we present an effective verification procedure that through numerical computation generates a set which includes the exact solution. Copyright © 2002 John Wiley and Sons, Ltd.
Source Title:	International Journal for Numerical Methods in Engineering
URI:	http://scholarbank.nus.edu.sg/handle/10635/103647
ISSN:	00295981
DOI:	10.1002/nme.479
Appears in Collections:	Staff Publications

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