Mesh-based interpolation on 2 -manifolds

Kevin Scully

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-17

Abstract:

This paper presents a global L 1 -estimate for the convergence of mesh-based interpolants on 2-manifolds defined over multiple coordinate systems and analyzes the convergence of an integral on a triangulated approximate manifold to the desired integral on the manifold being approximated. To place this estimate in context, previous convergence estimates for interpolation techniques on manifolds are presented. Finally, numerical results demonstrating the value of the L 1 -estimate are presented.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:518474

DOI: 10.1155/IJMMS.2005.1067

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