77 citations · 625 across the 37 of their papers we have counts for
6 papers · 1 filter
Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates
Christian Clason, Vu Huu Nhu, Arnd Rösch
In this paper, we carry out the numerical analysis of a nonsmooth quasilinear elliptic optimal control problem, where the coefficient in the divergence term of the corresponding st…
Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem
Christian Clason, Vu Huu Nhu
In this paper, we consider a modified Levenberg--Marquardt method for solving an ill-posed inverse problem where the forward mapping is not Gâteaux differentiable. By relaxing the…
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…
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…
Introduction to Finite Element Methods
Christian Clason
These lecture notes for a graduate course present an introduction to the mathematical theory of finite element methods for the numerical solution of partial differential equations.…
Functional error estimators for the adaptive discretization of inverse problems
Christian Clason, Barbara Kaltenbacher, Daniel Wachsmuth
So-called functional error estimators provide a valuable tool for reliably estimating the discretization error for a sum of two convex functions. We apply this concept to Tikhonov…