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DAGSTUHL
2004
13 years 6 months ago
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings
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...
Erich Novak, Stephan Dahlke, Winfried Sickel
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
JC
2007
63views more  JC 2007»
13 years 4 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
MOC
2000
83views more  MOC 2000»
13 years 4 months ago
On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
In the approximation of linear elliptic operators in mixed form, it is well known that the so-called inf-sup and ellipticity in the kernel properties are sufficient (and, in a sens...
Daniele Boffi, Franco Brezzi, Lucia Gastaldi
MOC
2010
12 years 11 months ago
hp-Optimal discontinuous Galerkin methods for linear elliptic problems
Abstract. The aim of this paper is to present and analyze a class of hpversion discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic proble...
Benjamin Stamm, Thomas P. Wihler