34 citations · 76 across the 7 of their papers we have counts for
7 papers
Optimal control of a two-dimensional elliptic equation with exponential nonlinearity and Dirac measure data
Vu Huu Nhu
This work addresses an optimal control problem for a semilinear elliptic equation in two-dimensional space, characterized by an exponential nonlinearity and a singular source term.…
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…
Numerical analysis of a nonsmooth quasilinear elliptic control problem: I. Explicit second-order optimality conditions
Christian Clason, Vu Huu Nhu, Arnd Rösch
In this paper, we derive explicit second-order necessary and sufficient optimality conditions of a local minimizer to an optimal control problem for a quasilinear second-order part…
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation
Christian Clason, Vu Huu Nhu, Arnd Rösch
This paper deals with second-order optimality conditions for a quasilinear elliptic control problem with a nonlinear coefficient in the principal part that is countably (con…
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…
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…
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…