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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
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 5 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
SIAMNUM
2011
139views more  SIAMNUM 2011»
13 years 17 days ago
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possibl...
Nabi Chegini, Rob Stevenson
SIAMNUM
2010
178views more  SIAMNUM 2010»
13 years 11 days ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
IFIP
2007
Springer
13 years 11 months ago
Elliptic Control by Penalty Techniques with Control Reduction
The paper deals with the numerical treatment of optimal control problems with bounded distributed controls and elliptic state equations by a wider class of barrier-penalty methods...
Christian Grossmann, Holger Kunz, Robert Meischner