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Title: Error estimates for a linear folding model
Abstract An interior penalty discontinuous Galerkin method is devised to approximate minimizers of a linear folding model by discontinuous isoparametric finite element functions that account for an approximation of a folding arc. The numerical analysis of the discrete model includes an a priori error estimate in case of an accurate representation of the folding curve by the isoparametric mesh. Additional estimates show that geometric consistency errors may be controlled separately if the folding arc is approximated by piecewise polynomial curves. Various numerical experiments are carried out to validate the a priori error estimate for the folding model.  more » « less
Award ID(s):
2110811
PAR ID:
10428301
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
IMA Journal of Numerical Analysis
ISSN:
0272-4979
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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