Mesh-based interpolation on 2-manifolds
This paper presents a global L1-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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1067 |
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| Summary: | This paper presents a global L1-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 L1-estimate are presented. |
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| ISSN: | 0161-1712 1687-0425 |