4 citations · 6 across the 8 of their papers we have counts for
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A reduced basis method for parabolic PDEs based on a space-time least squares formulation
Michael Hinze, Christian Kahle, Michael Stahl
In this work, we present a POD-greedy reduced basis method for parabolic partial differential equations (PDEs), based on the least squares space-time formulation proposed in [Hinze…
A least-squares space-time approach for parabolic equations
Michael Hinze, Christian Kahle, Michael Stahl
We propose a least squares formulation for abstract parabolic equations in the natural norm which only relies on natural regularity assumptions on the da…
Optimal Control of Sliding Droplets using the Contact Angle Distribution
Henning Bonart, Christian Kahle
Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. In this work, we consider a we…
Finite element error estimates in for regularized discrete approximations to the obstacle problem
Dominik Hafemeyer, Christian Kahle, Johannes Pfefferer
This work is concerned with quasi-optimal a-priori finite element error estimates for the obstacle problem in the -norm. The discrete approximations are introduced as solution…
A FEM for an optimal control problem subject to the fractional Laplace equation
Stefan Dohr, Christian Kahle, Sergejs Rogovs +1
We study the numerical approximation of linear-quadratic optimal control problems subject to the fractional Laplace equation with its spectral definition. We compute an approximati…
Bayesian parameter identification in Cahn-Hilliard models for biological growth
Christian Kahle, Kei Fong Lam, Jonas Latz +1
We consider the inverse problem of parameter estimation in a diffuse interface model for tumour growth. The model consists of a fourth-order Cahn-Hilliard system and contains three…