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Automated Regularization Parameter Selection in Multi-Scale Total Variation Models for Image Restoration

Journal of mathematical imaging and vision, 2011-05, Vol.40 (1), p.82-104

2011

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Topics in Applied Analysis and Optimisation: Partial Differential Equations, Stochastic and Numerical Analysis

1st ed. 2019., 2019

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A function space framework for structural total variation regularization with applications in inverse problems

Inverse problems, 2018-06, Vol.34 (6), p.64002

2018

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A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives

SIAM journal on optimization, 2024-09, Vol.34 (3), p.2314-2349

2024

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Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System with Nonmatched Fluid Densities

SIAM journal on control and optimization, 2017-01, Vol.55 (3), p.1954-1989

2017

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Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network

Applied mathematics & optimization, 2024-04, Vol.89 (2), p.36, Article 36

2024

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Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System

Applied mathematics & optimization, 2024-02, Vol.89 (1), p.12, Article 12

2024

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On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities

Journal of mathematical analysis and applications, 2022-03, Vol.507 (1), p.125732, Article 125732

2022

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A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by h p -finite elements

Computers & mathematics with applications (1987), 2020-12, Vol.80 (11), p.2433-2450

2020

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A Generalized Γ-Convergence Concept for a Class of Equilibrium Problems

Journal of nonlinear science, 2024-10, Vol.34 (5), Article 83

2024

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The Length of the Primal-Dual Path in Moreau--Yosida-Based Path-Following Methods for State Constrained Optimal Control

SIAM journal on optimization, 2014-01, Vol.24 (1), p.108-126

2014

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Optimality Conditions and Moreau–Yosida Regularization for Almost Sure State Constraints

ESAIM. Control, optimisation and calculus of variations, 2022, Vol.28, p.80

2022

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Identification of the friction function in a semilinear system for gas transport through a network

Optimization methods & software, 2020-05, Vol.35 (3), p.576-617

2020

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Analytical aspects of spatially adapted total variation regularisation

Journal of mathematical analysis and applications, 2017-10, Vol.454 (2), p.891-935

2017

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Preface for the special issue 'Variational methods and effective algorithms for imaging and vision'

Inverse problems, 2020-11, Vol.36 (11), p.110401

2020

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An efficient two-phase L(1)-TV method for restoring blurred images with impulse noise

IEEE transactions on image processing, 2010-07, Vol.19 (7), p.1731-1739

2010

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Constrained exact boundary controllability of a semilinear model for pipeline gas flow

European journal of applied mathematics, 2023-06, Vol.34 (3), p.532-553

2023

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Risk-neutral PDE-constrained generalized Nash equilibrium problems

Mathematical programming, 2023-04, Vol.198 (2), p.1287-1337

2023

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Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part I: Modelling and Theory

Journal of mathematical imaging and vision, 2017-11, Vol.59 (3), p.498-514

2017

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Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model

Inverse problems, 2015-06, Vol.31 (6), p.65006-65030

2015

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Optimization with learning-informed differential equation constraints and its applications

ESAIM. Control, optimisation and calculus of variations, 2022, Vol.28, p.3

2022

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A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by hp-finite elements

Computers & mathematics with applications (1987), 2020-12, Vol.80 (11), p.2433-2450

2020

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Stability of the Solution Set of Quasi-variational Inequalities and Optimal Control

SIAM journal on control and optimization, 2020-01, Vol.58 (6), p.3508-3532

2020

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Handbook of Numerical Methods for Hyperbolic Problems: Applied and Modern Issues

1, 2017

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Subspace Correction Methods for a Class of Nonsmooth and Nonadditive Convex Variational Problems with Mixed $L^1/L^2$ Data-Fidelity in Image Processing

SIAM journal on imaging sciences, 2013-01, Vol.6 (4), p.2134-2173

2013

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Automated Regularization Parameter Selection in Multi-Scale Total Variation Models for Image Restoration

Topics in Applied Analysis and Optimisation: Partial Differential Equations, Stochastic and Numerical Analysis

A function space framework for structural total variation regularization with applications in inverse problems

A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives

Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System with Nonmatched Fluid Densities

Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network

Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System

On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities

A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by h p -finite elements

A Generalized Γ-Convergence Concept for a Class of Equilibrium Problems

The Length of the Primal-Dual Path in Moreau--Yosida-Based Path-Following Methods for State Constrained Optimal Control

Optimality Conditions and Moreau–Yosida Regularization for Almost Sure State Constraints

Identification of the friction function in a semilinear system for gas transport through a network

Analytical aspects of spatially adapted total variation regularisation

Preface for the special issue 'Variational methods and effective algorithms for imaging and vision'

An efficient two-phase L(1)-TV method for restoring blurred images with impulse noise

Constrained exact boundary controllability of a semilinear model for pipeline gas flow

Risk-neutral PDE-constrained generalized Nash equilibrium problems

Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part I: Modelling and Theory

Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model

Optimization with learning-informed differential equation constraints and its applications

A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by hp-finite elements

Stability of the Solution Set of Quasi-variational Inequalities and Optimal Control

Handbook of Numerical Methods for Hyperbolic Problems: Applied and Modern Issues

Subspace Correction Methods for a Class of Nonsmooth and Nonadditive Convex Variational Problems with Mixed $L^1/L^2$ Data-Fidelity in Image Processing

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