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» Adaptive frame methods for elliptic operator equations
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ADCM
2007
87views more  ADCM 2007»
13 years 5 months ago
Adaptive frame methods for elliptic operator equations
Stephan Dahlke, Massimo Fornasier, Thorsten Raasch
FOCM
2002
140views more  FOCM 2002»
13 years 5 months ago
Adaptive Wavelet Methods II - Beyond the Elliptic Case
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability...
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
JC
2007
63views more  JC 2007»
13 years 5 months ago
Optimal approximation of elliptic problems by linear and nonlinear mappings III: Frames
We study the optimal approximation of the solution of an operator equation A(u) = f by certain n-term approximations with respect to specific classes of frames. We consider worst...
Stephan Dahlke, Erich Novak, Winfried Sickel
SIAMSC
2008
160views more  SIAMSC 2008»
13 years 4 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
SIAMSC
2010
145views more  SIAMSC 2010»
13 years 5 days ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...