16 citations · 37 across the 18 of their papers we have counts for
5 papers · 1 filter
Adaptive Quarklet Tree Approximation
Stephan Dahlke, Marc Hovemann, Thorsten Raasch +1
This paper is concerned with near-optimal approximation of a given function with elements of a polynomially enriched wavelet frame, a so-called quarklet frame. I…
Adaptive wavelet BEM for boundary integral equations: Theory and numerical experiments
Stephan Dahlke, Helmut Harbrecht, Manuela Utzinger +1
In this paper, we are concerned with the numerical treatment of boundary integral equations by means of the adaptive wavelet boundary element method (BEM). In particular, we consid…
Besov regularity for operator equations on patchwise smooth manifolds
Stephan Dahlke, Markus Weimar
We study regularity properties of solutions to operator equations on patchwise smooth manifolds such as, e.g., boundaries of polyhedral domains .…
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings III: Frames
Stephan Dahlke, Erich Novak, Winfried Sickel
We study the optimal approximation of the solution of an operator equation by certain n-term approximations with respect to specific classes of frames. We study worst case errors a…
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II
Stephan Dahlke, Erich Novak, Winfried Sickel
We study the optimal approximation of the solution of an operator equation Au=f by linear and nonlinear mappings. We identify those cases where optimal nonlinear approximation is b…