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ADCM
2010
77views more  ADCM 2010»
13 years 9 months ago
Huygens' principle and iterative methods in inverse obstacle scattering
Olha Ivanyshyn, Rainer Kress, Pedro Serranho
ADCM
2010
137views more  ADCM 2010»
13 years 9 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
2008
119views more  ADCM 2008»
13 years 9 months ago
Bounds on the dimensions of trivariate spline spaces
We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of sm...
Peter Alfeld, Larry L. Schumaker
ADCM
2007
59views more  ADCM 2007»
13 years 11 months ago
Gabor frames by sampling and periodization
By sampling the window of a Gabor frame for L2 (R) belonging to Feichtinger’s algebra, S0(R), one obtains a Gabor frame for l2 (Z). In this article we present a survey of results...
Peter L. Søndergaard
ADCM
2007
84views more  ADCM 2007»
13 years 11 months ago
A non-linear circle-preserving subdivision scheme
We describe a new method for constructing a sequence of refined polygons, which starts with a sequence of points and associated normals. The newly generated points are sampled fr...
Pavel Chalmovianský, Bert Jüttler
ADCM
2007
59views more  ADCM 2007»
13 years 11 months ago
Mollification formulas and implicit smoothing
Richard K. Beatson, H.-Q. Bui
ADCM
2007
168views more  ADCM 2007»
13 years 11 months ago
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames
Given an arbitrary finite sequence of vectors in a finite–dimensional Hilbert space, we describe an algorithm, which computes a Parseval frame for the subspace generated by the...
Peter G. Casazza, Gitta Kutyniok
ADCM
2007
134views more  ADCM 2007»
13 years 11 months ago
Barycentric coordinates for convex sets
In this paper we provide an extension of barycentric coordinates from simplices to arbitrary convex sets. Barycentric coordinates over convex 2D polygons have found numerous appli...
Joe D. Warren, Scott Schaefer, Anil N. Hirani, Mat...
ADCM
2007
87views more  ADCM 2007»
13 years 11 months ago
Adaptive frame methods for elliptic operator equations
Stephan Dahlke, Massimo Fornasier, Thorsten Raasch