Christian Kahle

发表

Influence of Liquid Density and Surface Tension on the Pinning of Sliding Droplets on a Triangular Microstructure

J. Repke, H. Bonart, Johannes Jung, 2019, Chemical Engineering & Technology.

A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn–Hilliard–Navier–Stokes system

M. Hintermüller, M. Hinze, Christian Kahle, 2018, Optimization and Engineering.

Phase-field methods for spectral shape and topology optimization

Tim Laux, H. Garcke, P. Knopf, 2021, ESAIM: Control, Optimisation and Calculus of Variations.

A phase field approach to shape optimization in Navier–Stokes flow with integral state constraints

M. Hinze, H. Garcke, K. Lam, 2018, Advances in Computational Mathematics.

Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn-Hilliard Navier-Stokes model

Henning Bonart, Christian Kahle, Jens-Uwe Repke, 2018, J. Comput. Phys..

Model Predictive Control of Variable Density Multiphase Flows Governed by Diffuse Interface Models

Christian Kahle, Michael Hinze, M. Hinze, 2013 .

A Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes System

Christian Kahle, Michael Hinze, M. Hinze, 2011, System Modelling and Optimization.

A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow

Harald Garcke, Christian Kahle, Michael Hinze, 2014, 1402.6524.

Optimal control of time-discrete two-phase flow driven by a diffuse-interface model

M. Hinze, H. Garcke, C. Kahle, 2016, ESAIM: Control, Optimisation and Calculus of Variations.

A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn–Hilliard–Navier–Stokes system

Christian Kahle, Michael Hintermüller, Michael Hinze, 2016, Optimization and Engineering.

A $L^\infty$ bound for the Cahn--Hilliard equation with relaxed non-smooth free energy

Christian Kahle, Christian Kahle, 2015, 1511.02618.

A L∞ bound for the Cahn–Hilliard equation with relaxed non-smooth free energy

CHRISTIAN KAHLE, Christian Kahle, 2015 .

Diffuse Interface Approaches in Atmosphere and Ocean—Modeling and Numerical Implementation

Harald Garcke, Christian Kahle, Michael Hinze, 2016, Mathematics of Planet Earth.

Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures

H. Garcke, P. Knopf, Christian Kahle, 2023, Applied Mathematics & Optimization.

Phase-field methods for spectral shape and topology optimization

Tim Laux, H. Garcke, P. Knopf, 2021, ESAIM: Control, Optimisation and Calculus of Variations.

Optimal Control of Droplets on a Solid Surface using Distributed Contact Angles.

J. Repke, H. Bonart, Christian Kahle, 2020, Langmuir : the ACS journal of surfaces and colloids.

Optimal Control of Sliding Droplets using the Contact Angle Distribution pdf

Henning Bonart, Christian Kahle, H. Bonart, 2020, SIAM J. Control. Optim..

Controlling Sliding Droplets with Optimal Contact Angle Distributions and a Phase Field Model

J. Repke, H. Bonart, Christian Kahle, 2019, PAMM.

Simulation and Control of Two-Phase Flow Using Diffuse Interface Models

C. Kahle, Christian Kahle, 2015 .

An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system

Christian Kahle, Michael Hintermüller, Michael Hinze, 2013, J. Comput. Phys..

A phase field approach to shape optimization in Navier–Stokes flow with integral state constraints

Harald Garcke, Christian Kahle, Michael Hinze, 2017, Advances in Computational Mathematics.

Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach

M. Hinze, H. Garcke, C. Kahle, 2015, 1504.06402.

Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids

Harald Garcke, Christian Kahle, Michael Hinze, 2014, SIAM J. Sci. Comput..

Bayesian Parameter Identification in Cahn-Hilliard Models for Biological Growth

Christian Kahle, Elisabeth Ullmann, Jonas Latz, 2018, SIAM/ASA J. Uncertain. Quantification.

Finite element error estimates in L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document} for regularize

Christian Kahle, Johannes Pfefferer, Dominik Hafemeyer, 2018, Numerische Mathematik.

Parameter Identification via Optimal Control for a Cahn–Hilliard-Chemotaxis System with a Variable Mobility

Christian Kahle, Kei Fong Lam, C. Kahle, 2017, 1707.06853.

Preconditioning of a coupled Cahn--Hilliard Navier--Stokes system

Christian Kahle, Martin Stoll, Jessica Bosch, 2016, 1610.03991.

Parameter Identification via Optimal Control for a Cahn–Hilliard-Chemotaxis System with a Variable Mobility

K. F. Lam, Christian Kahle, 2018, Applied Mathematics & Optimization.