On W k, p -manifolds and W k, p -surfaces for analysis of the convergence of mesh-based approximation

Kevin Scully

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-12

Abstract:

To categorize the convergence properties of mesh-based approximations to manifolds and surfaces, this paper defines these approximations as “ W k , p -manifolds” and “ W k , p -surfaces.” In particular, this paper examines the importance of these classifications in the convergence in L 1 -norm of interpolants, built on the approximate manifold or surface, of functions defined on the approximated manifold or surface. To provide context, the applicability of an interpolation framework established by Nédélec involving the convergence of metric determinants is examined. An extension of Nédélec's framework to W k , p -surfaces is presented.

Date: 2005
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2005/529503.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2005/529503.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:529503

DOI: 10.1155/IJMMS.2005.3291

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().