77 citations · 625 across the 37 of their papers we have counts for
9 papers · 1 filter
Optimal control of a non-smooth quasilinear elliptic equation
Christian Clason, Vu Huu Nhu, Arnd Rösch
This work is concerned with an optimal control problem governed by a non-smooth quasilinear elliptic equation with a nonlinear coefficient in the principal part that is locally Lip…
Optimal control problems with control complementarity constraints
Christian Clason, Yu Deng, Patrick Mehlitz +1
A special class of optimal control problems with complementarity constraints on the control functions is studied. It is shown that such problems possess optimal solutions whenever…
Generalized modes in Bayesian inverse problems
Christian Clason, Tapio Helin, Remo Kretschmann +1
Uncertainty quantification requires efficient summarization of high- or even infinite-dimensional (i.e., non-parametric) distributions based on, e.g., suitable point estimates (mod…
Regularization of ill-posed problems with non-negative solutions
Christian Clason, Barbara Kaltenbacher, Elena Resmerita
This survey reviews variational and iterative methods for reconstructing non-negative solutions of ill-posed problems in infinite-dimensional spaces. We focus on two classes of met…
Quasi-solution of linear inverse problems in non-reflexive Banach spaces
Christian Clason, Andrej Klassen
We consider the method of quasi-solutions (also referred to as Ivanov regularization) for the regularization of linear ill-posed problems in non-reflexive Banach spaces. Using the…
Error estimates for the approximation of multibang control problems
Christian Clason, Thi Bich Tram Do, Frank Pörner
This work is concerned with optimal control problems where the objective functional consists of a tracking-type functional and an additional "multibang" regularization functional t…
Bouligand-Landweber iteration for a non-smooth ill-posed problem
Christian Clason, Vu Huu Nhu
This work is concerned with the iterative regularization of a non-smooth nonlinear ill-posed problem where the forward mapping is merely directionally but not Gâteaux differentiabl…
Contingent derivatives and regularization for noncoercive inverse problems
Christian Clason, Akhtar A. Khan, Miguel Sama +1
We study the inverse problem of parameter identification in non-coercive variational problems that commonly appear in applied models. We examine the differentiability of the set-va…
Acceleration and global convergence of a first-order primal--dual method for nonconvex problems
Christian Clason, Stanislav Mazurenko, Tuomo Valkonen
The primal--dual hybrid gradient method (PDHGM, also known as the Chambolle--Pock method) has proved very successful for convex optimization problems involving linear operators ari…