10 citations · 12 across the 8 of their papers we have counts for
9 papers
A penalty-type method for relaxed inverse optimal control problems
Floriane Mefo Kue, Patrick Mehlitz, Thorsten Raasch
This paper is devoted to the introduction and analysis of a penalty-type method for the numerical treatment of a class of bilevel optimization problems arising from inverse optimal…
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…
B-Spline Quarklets and Biorthogonal Multiwavelets
Marc Hovemann, Anne Kopsch, Thorsten Raasch +1
We show that B-spline quarks and the associated quarklets fit into the theory of biorthogonal multiwavelets. Quark vectors are used to define sequences of subspaces of…
Real eigenstructure of regular simplex tensors
Adam Czaplinski, Thorsten Raasch, Jonathan Steinberg
We are concerned with the eigenstructure of supersymmetric tensors. Like in the matrix case, normalized tensor eigenvectors are fixed points of the tensor power iteration map. Howe…
Newton-type method for bilevel programs with linear lower level problem and application to toll optimization
Floriane Mefo Kue, Thorsten Raasch, Alain B. Zemkoho
We consider a bilevel program involving a linear lower level problem with left-hand-side perturbation. We then consider the Karush-Kuhn-Tucker reformulation of the problem and subs…
A hybrid particle-continuum resolution method and its application to a homopolymer solution
Shuanhu Qi, Hans Behringer, Thorsten Raasch +1
We discuss in detail a recently proposed hybrid particle-continuum scheme for complex fluids and evaluate it at the example of a confined homopolymer solution in slit geometry. The…
A globally convergent and locally quadratically convergent modified B-semismooth Newton method for -penalized minimization
Esther Hans, Thorsten Raasch
We consider the efficient minimization of a nonlinear, strictly convex functional with -penalty term. Such minimization problems appear in a wide range of applications like…
On the convergence analysis of the inexact linearly implicit Euler scheme for a class of SPDEs
Petru A. Cioica, Stephan Dahlke, Nicolas Döhring +6
This paper is concerned with the adaptive numerical treatment of stochastic partial differential equations. Our method of choice is Rothe's method. We use the implicit Euler scheme…
Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains
Petru A. Cioica, Stephan Dahlke, Stefan Kinzel +4
We use the scale of Besov spaces B^α_{τ,τ}(O), α>0, 1/τ=α/d+1/p, p fixed, to study the spatial regularity of the solutions of linear parabolic stochastic partial differential equat…