Mathematical Sciences: Faculty Publications
Constrained Variational Refinement
Document Type
Article
Publication Date
1-15-2009
Publication Title
Journal of Computational and Applied Mathematics
DOI
10.1016/j.cam.2008.03.033
ISSN
0377-0427
Abstract
A non-uniform, variational refinement scheme is presented for computing piecewise linear curves that minimize a certain discrete energy functional subject to convex constraints on the error from interpolation. Optimality conditions are derived for both the fixed and free-knot problems. These conditions are expressed in terms of jumps in certain (discrete) derivatives. A computational algorithm is given that applies to constraints whose boundaries are either piecewise linear or spherical. The results are applied to closed periodic curves, open curves with various boundary conditions, and (approximate) Hermite interpolation.
Recommended Citation
Kersey, Scott N..
2009.
"Constrained Variational Refinement."
Journal of Computational and Applied Mathematics, 223 (2): 983-996.
doi: 10.1016/j.cam.2008.03.033
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/64
Copyright
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