Enhanced derivative recovery through least square residual penalty

L 2 projective techniques have proven very useful for postprocessing of derivatives, such as strains, in finite element solutions of elliptic problems. However, these projections often exhibit substantial errors near boundaries. It is shown here that adding the square of the residuals of selected go...

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Bibliographic Details
Published in:Applied numerical mathematics 1994-04, Vol.14 (1), p.55-68
Main Authors: Belytschko, Ted, Blacker, Ted D.
Format: Article
Language:English
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Summary:L 2 projective techniques have proven very useful for postprocessing of derivatives, such as strains, in finite element solutions of elliptic problems. However, these projections often exhibit substantial errors near boundaries. It is shown here that adding the square of the residuals of selected governing equations to the least square form enhances the accuracy. Both global and local projection schemes are considered. Results are presented which show that these enhancements significantly increase the accuracy and convergence of recovered derivatives.
ISSN:0168-9274
1873-5460
DOI:10.1016/0168-9274(94)90018-3