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ADCM
2010
97views more  ADCM 2010»
13 years 5 months ago
A spectral method for elliptic equations: the Dirichlet problem
Kendall Atkinson, David Da-Kwun Chien, Olaf Hansen
ADCM
2010
137views more  ADCM 2010»
13 years 3 months ago
Optimal convergence analysis of an immersed interface finite element method
We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elem...
So-Hsiang Chou, Do Y. Kwak, K. T. Wee
ADCM
2010
85views more  ADCM 2010»
13 years 5 months ago
Stability of kernel-based interpolation
It is often observed that interpolation based on translates of radial basis functions or non-radial kernels is numerically unstable due to exceedingly large condition of the kerne...
Stefano De Marchi, Robert Schaback
ADCM
2010
85views more  ADCM 2010»
13 years 5 months ago
On the injectivity of Wachspress and mean value mappings between convex polygons
Wachspress and mean value coordinates are two generalizations of triangular barycentric coordinates to convex polygons and have recently been used to construct mappings between po...
Michael S. Floater, Jirí Kosinka
ADCM
2010
93views more  ADCM 2010»
13 years 5 months ago
Computation of interpolatory splines via triadic subdivision
We present an algorithm for computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm is based on triadic subdivision of splines. Explicit ...
Valery A. Zheludev, Amir Averbuch