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» Adaptive Wavelet Methods II - Beyond the Elliptic Case
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SIAMSC
2008
160views more  SIAMSC 2008»
13 years 3 months ago
An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid
An adaptive multilevel wavelet solver for elliptic equations on an optimal spherical geodesic grid is developed. The method is based on second-generation spherical wavelets on almo...
Mani Mehra, Nicholas K.-R. Kevlahan
JC
2006
97views more  JC 2006»
13 years 4 months ago
Optimal approximation of elliptic problems by linear and nonlinear mappings II
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Stephan Dahlke, Erich Novak, Winfried Sickel
MOC
2000
127views more  MOC 2000»
13 years 4 months ago
Can a finite element method perform arbitrarily badly?
In this paper we construct elliptic boundary value problems whose standard finite element approximations converge arbitrarily slowly in the energy norm, and show that adaptive proc...
Ivo Babuska, John E. Osborn
ADCM
2011
12 years 11 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...