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Adjoint error estimation and spatial adaptivity for EHL-like models

Hart, D., Goodyer, C.E., Berzins, B., Jimack, P.K. and Scales, L. (2006) Adjoint error estimation and spatial adaptivity for EHL-like models. In: IUTAM Symposium on Elastohydrodynamics and Micro-elastohydrodynamics : Proceedings of the IUTAM Symposium held in Cardiff, UK, 1-3 September 2004. Solid Mechanics and Its Applications, 2 (134). Springer , Netherlands , pp. 47-58. ISBN 1402045328

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Abstract

The use of adjoint error estimation techniques is described for a model problem that is a simplified version of an EHL line contact. Quantities of interest, such as friction, may be dependent upon the accuracy of the Solution in some parts of the domain more than in others. The use of an inexpensive extra solve to calculate an adjoint solution is described for estimating the intergrid error in the value of friction calculated, and as a basis for local refinement. It is demonstrated that this enables an accurate estimate for the quantity of interest to be obtained from a less accurate solution of the model problem.

Item Type: Book Section
Copyright, Publisher and Additional Information: This is an author produced version of a chapter published in 'IUTAM Symposium on Elastohydrodynamics and Micro-elastohydrodynamics : Proceedings of the IUTAM Symposium held in Cardiff, UK, 1-3 September 2004'.
Keywords: error estimation; discrete adjoint; EHL; friction calculation; mesh adaptation
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Officer
Date Deposited: 19 Dec 2006
Last Modified: 05 Jun 2014 22:12
Published Version: http://dx.doi.org/10.1007/1-4020-4533-6_3
Status: Published
Publisher: Springer
Refereed: No
Identification Number: 10.1007/1-4020-4533-6_3
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1865

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