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» Error bounds for anisotropic RBF interpolation
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JAT
2010
120views more  JAT 2010»
13 years 3 months ago
Error bounds for anisotropic RBF interpolation
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth fu...
Richard K. Beatson, Oleg Davydov, Jeremy Levesley
SIAMNUM
2011
154views more  SIAMNUM 2011»
12 years 11 months ago
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...
Adrien Loseille, Frédéric Alauzet
SIAMNUM
2011
144views more  SIAMNUM 2011»
12 years 11 months ago
Continuous Mesh Framework Part II: Validations and Applications
This paper gives a numerical validation of the continuous mesh framework introduced in Part I [23]. We numerically show that the interpolation error can be evaluated analytically o...
Adrien Loseille, Frédéric Alauzet