28 citations · 76 across the 10 of their papers we have counts for
10 papers · 1 filter
A Sinkhorn-Newton method for entropic optimal transport
Christoph Brauer, Christian Clason, Dirk Lorenz +1
We consider the entropic regularization of discretized optimal transport and propose to solve its optimality conditions via a logarithmic Newton iteration. We show a quadratic conv…
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.…
Total variation regularization of multi-material topology optimization
Christian Clason, Florian Kruse, Karl Kunisch
This work is concerned with the determination of the diffusion coefficient from distributed data of the state. This problem is related to homogenization theory on the one hand and…
Nonsmooth Analysis and Optimization
Christian Clason
These lecture notes for a graduate course cover generalized derivative concepts useful in deriving necessary optimality conditions and numerical algorithms for nondifferentiable op…
Convex regularization of discrete-valued inverse problems
Christian Clason, Thi Bich Tram Do
This work is concerned with linear inverse problems where a distributed parameter is known a priori to only take on values from a given discrete set. This property can be promoted…
Optimal control of a non-smooth semilinear elliptic equation
Constantin Christof, Christian Clason, Christian Meyer +1
This paper is concerned with an optimal control problem governed by a non-smooth semilinear elliptic equation. We show that the control-to-state mapping is directionally differenti…