New bounding techniques for goal‐oriented error estimation applied to linear problems

International Journal for Numerical Methods in Engineering - Tập 93 Số 13 - Trang 1345-1380 - 2013
Pierre Ladevèze1, Florent Pled1, Ludovic Chamoin1
1Laboratoire de Mécanique et Technologie

Tóm tắt

SUMMARYThe paper deals with the accuracy of guaranteed error bounds on outputs of interest computed from approximate methods such as the finite element method. A considerable improvement is introduced for linear problems, thanks to new bounding techniques based on Saint‐Venant's principle. The main breakthrough of these optimized bounding techniques is the use of properties of homothetic domains that enables to cleverly derive guaranteed and accurate bounding of contributions to the global error estimate over a local region of the domain. Performances of these techniques are illustrated through several numerical experiments. Copyright © 2012 John Wiley & Sons, Ltd.

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Thông tin xuất bản

International Journal for Numerical Methods in Engineering

Tập 93 Số 13

1345-1380

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