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ADCM
2011
13 years 6 months ago
The missing Wendland functions
Abstract: The Wendland radial basis functions [8, 9] are piecewise polynomial compactly supported reproducing kernels in Hilbert spaces which are norm–equivalent to Sobolev space...
Robert Schaback
ADCM
2011
13 years 6 months ago
Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization
ABSTRACT. In this paper we discuss an abstract iteration scheme for the calculation of the smallest eigenvalue of an elliptic operator eigenvalue problem. A short and geometric pro...
Thorsten Rohwedder, Reinhold Schneider, Andreas Ze...
ADCM
2011
13 years 6 months ago
Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces
After a discussion on definability of invariant subdivision rules we discuss rules for sequential data living in Riemannian manifolds and in symmetric spaces, having in mind the s...
Johannes Wallner, Esfandiar Nava Yazdani, Andreas ...
ADCM
2011
13 years 6 months ago
Approximation properties of the Generalized Finite Element Method
In this paper, we have obtained an approximation result in the Generalized Finite Element Method (GFEM) that reflects the global approximation property of the Partition of Unity ...
C. Anitescu, U. Banerjee
ADCM
2011
13 years 6 months ago
A spectral method for elliptic equations: the Neumann problem
Kendall Atkinson, Olaf Hansen, David Da-Kwun Chien