From Open to Closed Loop Optimal Control of PDEs

Publikacje

Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian

Autorzy: Victor A. Kovtunenko, Kohji Ohtsuka
Opublikowane w: Journal of Inverse and Ill-posed Problems, 2020, ISSN 0928-0219
Wydawca: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2020-0081

Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay

Autorzy: Gilbert Peralta, Karl Kunisch
Opublikowane w: Nonlinearity, Numer Volume 32, Number 12, 2019, ISSN 0951-7715
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab46f5

Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ode systems

Autorzy: Karl Kunsich, Sergio S. Rodrigues
Opublikowane w: Discrete and Continuous Dynamical Systems, Numer 39 (11), 2019, Strona(/y) 6355 - 6389, ISSN 1078-0947
Wydawca: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2019276

Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations

Autorzy: Dante Kalise, Sudeep Kundu, Karl Kunisch
Opublikowane w: SIAM Journal on Applied Dynamical Systems, Numer 19(2), 2020, Strona(/y) 1496–1524, ISSN 1536-0040
Wydawca: Society of Industrial and Applied Mathematics
DOI: 10.1137/19m1262139

Poroelastic medium with non-penetrating crack driven by hydraulic fracture: Variational inequality and its semidiscretization

Autorzy: Victor A.Kovtunenko
Opublikowane w: Journal of Computational and Applied Mathematics, Numer Volume 405, 2022, Strona(/y) 113953, ISSN 0377-0427
Wydawca: Elsevier BV
DOI: 10.1016/j.cam.2021.113953

Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation

Autorzy: Sebastian Engel, Philip Trautmann, Boris Vexler
Opublikowane w: IMA Journal of Numerical Analysis, Numer Volume 41, Numer 4, 2021, Strona(/y) 2639–2667, ISSN 0272-4979
Wydawca: Oxford University Press
DOI: 10.1093/imanum/draa032

Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response

Autorzy: Hiromichi Itou, Victor A. Kovtunenko, Kumbakonam R. Rajagopal
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer Vol. 31, No. 03, 2021, Strona(/y) 649-674, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202521500159

Variational Networks: An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration

Autorzy: Alexander Effland, Erich Kobler, Karl Kunisch, Thomas Pock
Opublikowane w: Journal of Mathematical Imaging and Vision, Numer 62, 2020, Strona(/y) 396–416, ISSN 0924-9907
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10851-019-00926-8

Policy iteration for Hamilton–Jacobi–Bellman equations with control constraints

Autorzy: Sudeep Kundu, Karl Kunisch
Opublikowane w: Computational Optimization and Applications, 2021, ISSN 0926-6003
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10589-021-00278-3

Cyclic behavior of simple models in hypoplasticity and plasticity with nonlinear kinematic hardening

Autorzy: Victor A. Kovtunenko, Erich Bauer, Jan Elias, Pavel Krejci, Giselle a. Monteiro, Lenka Strakova (Sivakova)
Opublikowane w: Journal of Siberian Federal University. Mathematics & Physics, Numer 14(6), 2021, ISSN 1997-1397
Wydawca: Siberian Federal University
DOI: 10.17516/1997-1397-2021-14-6-756-767

Study of voltage cycling conditions on Pt oxidation and dissolution in polymer electrolyte fuel cells

Autorzy: V.A.Kovtunenko, L.Karpenko-Jereb
Opublikowane w: Journal of Power Sources, Numer Volume 493, 2021, Strona(/y) 229693, ISSN 0378-7753
Wydawca: Elsevier BV
DOI: 10.1016/j.jpowsour.2021.229693

Stabilization of nonautonomous parabolic equations by a single moving actuator

Autorzy: Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
Opublikowane w: Discrete & Continuous Dynamical Systems, Numer 41(12), 2021, Strona(/y) 5789-5824, ISSN 1078-0947
Wydawca: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2021096

Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations

Autorzy: Karl Kunisch, Sérgio S. Rodrigues, Daniel Walter
Opublikowane w: Applied Mathematics and Optimization, Numer 84, 2021, Strona(/y) pages 277–318, ISSN 0095-4616
Wydawca: Springer Verlag
DOI: 10.1007/s00245-021-09769-5

The Effect of the Terminal Penalty in Receding Horizon Control for a Class of Stabilization Problems

Autorzy: Karl Kunisch, Laurent Pfeiffer
Opublikowane w: Control, Optimisation and Calculus of Variations, Numer Volume 26, 58, 2020, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2019037

Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations

Autorzy: Sergey Dolgov, Dante Kalise, Karl Kunisch
Opublikowane w: SIAM Journal on Scientific Computing, Numer 43(3), 2021, Strona(/y) A1625–A1650, ISSN 1064-8275
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1305136

Finite dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory

Autorzy: Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Opublikowane w: Journal of Inverse and Ill-posed Problems, Numer 30(1), 2022, Strona(/y) 35-79, ISSN 0928-0219
Wydawca: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2020-0132

Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains

Autorzy: Eduardo Casas, Karl Kunisch
Opublikowane w: Control, Optimisation and Calculus of Variations, Numer Volume 27, 2021, Strona(/y) Article Number 61, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2021058

On an Implicit Model Linear in Both Stress and Strain to Describe the Response of Porous Solids

Autorzy: Hiromichi Itou, Victor A. Kovtunenko, Kumbakonam R. Rajagopal
Opublikowane w: Journal of Elasticity, Numer 144, 2021, Strona(/y) 107–118, ISSN 0374-3535
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10659-021-09831-x

Neural network based nonlinear observers

Autorzy: Tobias Breiten, Karl Kunisch
Opublikowane w: Systems & Control Letters, Numer Volume 148, 2021, Strona(/y) 104829, ISSN 0167-6911
Wydawca: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104829

An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology

Autorzy: Karl Kunisch, Philip Trautmann
Opublikowane w: Vietnam Journal of Mathematics, Numer 50, 2022, Strona(/y) 301-317, ISSN 2305-221X
Wydawca: Springer Science + Business Media
DOI: 10.1007/s10013-021-00509-4

Total Deep Variation: A Stable Regularization Method for Inverse Problems

Autorzy: Erich Kobler, Alexander Effland, Karl Kunisch, Thomas Pock
Opublikowane w: IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021, ISSN 0162-8828
Wydawca: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tpami.2021.3124086

Lifetime of Catalyst under Voltage Cycling in Polymer Electrolyte Fuel Cell Due to Platinum Oxidation and Dissolution

Autorzy: Victor A. Kovtunenko, Larisa Karpenko-Jereb
Opublikowane w: Technologies, Numer 9(4), 80, 2021, ISSN 2227-7080
Wydawca: Basel: MDPI AG
DOI: 10.3390/technologies9040080

Optimal Control of the Two-Dimensional Evolutionary Navier--Stokes Equations with Measure Valued Controls

Autorzy: Eduardo Casas, Karl Kunisch
Opublikowane w: SIAM Journal on Control and Optimization, Numer Volume 59, Numer 3, 2021, Strona(/y) 2223–2246, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1351400

Uniform stabilization of Boussinesq systems in critical L^q-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Autorzy: Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Opublikowane w: Discrete & Continuous Dynamical Systems - B, Numer 25 (10), 2020, Strona(/y) 4071-4117, ISSN 1531-3492
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2020187

Receding horizon control for the stabilization of the wave equation

Autorzy: Behzad Azmi, Karl Kunisch
Opublikowane w: Discrete and Continuous Dynamical Systems, Numer 38/2, 2018, Strona(/y) 449-484, ISSN 1078-0947
Wydawca: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2018021

Total variation regularization of multi-material topology optimization

Autorzy: Christian Clason, Florian Kruse, Karl Kunisch
Opublikowane w: ESAIM: Mathematical Modelling and Numerical Analysis, Numer 52/1, 2018, Strona(/y) 275-303, ISSN 0764-583X
Wydawca: EDP Sciences
DOI: 10.1051/m2an/2017061

On the Stabilizability of the Burgers Equation by Receding Horizon Control

Autorzy: Behzad Azmi, Karl Kunisch
Opublikowane w: SIAM Journal on Control and Optimization, Numer 54/3, 2016, Strona(/y) 1378-1405, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1030352

Local Minimization Algorithms for Dynamic Programming Equations

Autorzy: Dante Kalise, Axel Kröner, Karl Kunisch
Opublikowane w: SIAM Journal on Scientific Computing, Numer 38/3, 2016, Strona(/y) A1587-A1615, ISSN 1064-8275
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1010269

Primal-dual active set strategy for large scale optimization of cardiac defibrillation

Autorzy: Nagaiah Chamakuri, Karl Kunisch
Opublikowane w: Applied Mathematics and Computation, Numer 292, 2017, Strona(/y) 178-193, ISSN 0096-3003
Wydawca: Elsevier BV
DOI: 10.1016/j.amc.2016.07.035

Optimal Control of Elliptic Variational–Hemivariational Inequalities

Autorzy: Zijia Peng, Karl Kunisch
Opublikowane w: Journal of Optimization Theory and Applications, Numer 178/1, 2018, Strona(/y) 1-25, ISSN 0022-3239
Wydawca: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-018-1303-8

Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions

Autorzy: Eduardo Casas, Karl Kunisch
Opublikowane w: Set-Valued and Variational Analysis, 2018, Strona(/y) 1 - 25, ISSN 1877-0533
Wydawca: Springer Verlag
DOI: 10.1007/s11228-018-0482-7

Interface stabilization of a parabolic-hyperbolic pde system with delay in the interaction

Autorzy: Gilbert Peralta, Karl Kunisch
Opublikowane w: Discrete & Continuous Dynamical Systems - A, Numer 38/6, 2018, Strona(/y) 3143-3171, ISSN 1553-5231
Wydawca: AIMS
DOI: 10.3934/dcds.2018133

Revisiting generalized FEM: a Petrov–Galerkin enrichment based FEM interpolation for Helmholtz problem

Autorzy: Victor A. Kovtunenko, Karl Kunisch
Opublikowane w: Calcolo, Numer 55/3, 2018, ISSN 0008-0624
Wydawca: Springer Verlag
DOI: 10.1007/s10092-018-0280-5

Viscosity methods for large deviations estimates of multiscale stochastic processes

Autorzy: Daria Ghilli
Opublikowane w: ESAIM: Control, Optimisation and Calculus of Variations, 2018, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2017051

Inverse problems for linear parabolic equations using mixed formulations – Part 1: Theoretical analysis

Autorzy: Arnaud Münch, Diego A. Souza
Opublikowane w: Journal of Inverse and Ill-posed Problems, Numer 0/0, 2016, ISSN 0928-0219
Wydawca: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2015-0112

Analysis and finite element discretization for optimal control of a linear fluid–structure interaction problem with delay

Autorzy: Gilbert Peralta, Karl Kunisch
Opublikowane w: IMA Journal of Numerical Analysis, 2018, ISSN 0272-4979
Wydawca: Oxford University Press
DOI: 10.1093/imanum/dry070

Taylor expansions of the value function associated with a bilinear optimal control problem

Autorzy: Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2019, ISSN 0294-1449
Wydawca: Elsevier BV
DOI: 10.1016/j.anihpc.2019.01.001

A bilevel approach for parameter learning in inverse problems

Autorzy: Gernot Holler, Karl Kunisch, Richard C Barnard
Opublikowane w: Inverse Problems, Numer 34/11, 2018, Strona(/y) 115012, ISSN 0266-5611
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6420/aade77

Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws

Autorzy: Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: SIAM Journal on Control and Optimization, Numer 56/5, 2018, Strona(/y) 3184-3214, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1173952

On monotone and primal-dual active set schemes for $$\ell ^p$$ ℓ p -type problems, $$p

Autorzy: Daria Ghilli, Karl Kunisch
Opublikowane w: Computational Optimization and Applications, Numer 72/1, 2019, Strona(/y) 45-85, ISSN 0926-6003
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10589-018-0036-9

Optimal actuator design based on shape calculus

Autorzy: Dante Kalise, Karl Kunisch, Kevin Sturm
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 28/13, 2018, Strona(/y) 2667-2717, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202518500586

Numerical study of polynomial feedback laws for a bilinear control problem

Autorzy: Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: Mathematical Control & Related Fields, Numer 8/3, 2018, Strona(/y) 557-582, ISSN 2156-8499
Wydawca: AIMS
DOI: 10.3934/mcrf.2018023

Infinite Horizon Sparse Optimal Control

Autorzy: Dante Kalise, Karl Kunisch, Zhiping Rao
Opublikowane w: Journal of Optimization Theory and Applications, Numer 172/2, 2016, Strona(/y) 481-517, ISSN 0022-3239
Wydawca: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-016-1016-9

Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations

Autorzy: Eduardo Casas and Karl Kunisch
Opublikowane w: SIAM Journal on Control and Optimization, Numer 55/1, 2017, Strona(/y) 512-532, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1084298

Invisible Control of Self-Organizing Agents Leaving Unknown Environments

Autorzy: Giacomo Albi, Mattia Bongini, Emiliano Cristiani, Dante Kalise
Opublikowane w: SIAM Journal on Applied Mathematics, Numer 76/4, 2016, Strona(/y) 1683-1710, ISSN 0036-1399
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1017016

Proximal Methods for Stationary Mean Field Games with Local Couplings

Autorzy: L. M. Bricen͂o-Arias, D. Kalise, F. J. Silva
Opublikowane w: SIAM Journal on Control and Optimization, Numer 56/2, 2018, Strona(/y) 801-836, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1095615

Polynomial Approximation of High-Dimensional Hamilton--Jacobi--Bellman Equations and Applications to Feedback Control of Semilinear Parabolic PDEs

Autorzy: Dante Kalise, Karl Kunisch
Opublikowane w: SIAM Journal on Scientific Computing, Numer 40/2, 2018, Strona(/y) A629-A652, ISSN 1064-8275
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/17M1116635

Mean Field Control Hierarchy

Autorzy: Giacomo Albi, Young-Pil Choi, Massimo Fornasier, Dante Kalise
Opublikowane w: Applied Mathematics & Optimization, Numer 76/1, 2017, Strona(/y) 93-135, ISSN 0095-4616
Wydawca: Springer Verlag
DOI: 10.1007/s00245-017-9429-x

A Boltzmann approach to mean-field sparse feedback control * *Giacomo Albi and Massimo Fornasier acknowledge the support of the ERC-Starting Grant HDSPCONTR ”High-Dimensional Sparse Optimal Control”. Dante Kalise acknowledges the support of the ERC-Advanced grant OCLOC 668998 “From Open to Closed Loop Optimal Control of PDEs”.

Autorzy: Giacomo Albi, Massimo Fornasier, Dante Kalise
Opublikowane w: IFAC-PapersOnLine, Numer 50/1, 2017, Strona(/y) 2898-2903, ISSN 2405-8963
Wydawca: Elsevier Ltd.
DOI: 10.1016/j.ifacol.2017.08.646

Nonconvex penalization of switching control of partial differential equations

Autorzy: Christian Clason, Armin Rund, Karl Kunisch
Opublikowane w: Systems & Control Letters, Numer 106, 2017, Strona(/y) 1-8, ISSN 0167-6911
Wydawca: Elsevier BV
DOI: 10.1016/j.sysconle.2017.05.006

Control strategies for the Fokker-Planck equation

Autorzy: Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: ESAIM: Control, Optimisation and Calculus of Variations, 2017, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2017046

On the semi-global stabilizability of the Korteweg-de Vries equation via model predictive control

Autorzy: Behzad Azmi, Karl Kunisch, Anne-Céline Boulanger
Opublikowane w: ESAIM: Control, Optimisation and Calculus of Variations, 2017, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2017001

Boundary feedback stabilization of the monodomain equations

Autorzy: Karl Kunisch, Tobias Breiten
Opublikowane w: Mathematical Control and Related Fields, Numer 7/3, 2017, Strona(/y) 369-391, ISSN 2156-8472
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2017013

Hybrid optimal control problems for a class of semilinear parabolic equations

Autorzy: Sébastien Court, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: Discrete & Continuous Dynamical Systems - S, Numer 11/6, 2018, Strona(/y) 1031-1060, ISSN 1937-1179
Wydawca: AIMS
DOI: 10.3934/dcdss.2018060

Optimal Control for a Class of Infinite Dimensional Systems Involving an L∞-term in the Cost Functional

Autorzy: Sébastien Court, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Numer 98/4, 2018, Strona(/y) 569-588, ISSN 0044-2267
Wydawca: John Wiley & Sons Ltd.
DOI: 10.1002/zamm.201600199

On Neumann problems for nonlocal Hamilton–Jacobi equations with dominating gradient terms

Autorzy: Daria Ghilli
Opublikowane w: Calculus of Variations and Partial Differential Equations, Numer 56/5, 2017, ISSN 0944-2669
Wydawca: Springer Verlag
DOI: 10.1007/s00526-017-1225-6

On the one-dimensional nonlinear monodomain equations with moving controls

Autorzy: Karl Kunisch, Diego A. Souza
Opublikowane w: Journal de Mathématiques Pures et Appliquées, 2018, ISSN 0021-7824
Wydawca: Elsevier BV
DOI: 10.1016/j.matpur.2018.05.003

Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions

Autorzy: Daria Ghilli, Zhiping Rao, Hasnaa Zidani
Opublikowane w: ESAIM: Control, Optimisation and Calculus of Variations, Numer 25, 2019, Strona(/y) 79, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2018072

Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators

Autorzy: Karl Kunisch, Sérgio S. Rodrigues
Opublikowane w: ESAIM: Control, Optimisation and Calculus of Variations, Numer 25, 2019, Strona(/y) 67, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2018054

Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the Shallow-Water equations

Autorzy: Sébastien Court, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: Interfaces and Free Boundaries, Numer 21/3, 2019, Strona(/y) 273-311, ISSN 1463-9963
Wydawca: European Mathematical Society Publishing House
DOI: 10.4171/IFB/424

Inverse localization of earliest cardiac activation sites from activation maps based on the viscous Eikonal equation

Autorzy: Karl Kunisch, Aurel Neic, Gernot Plank, Philip Trautmann
Opublikowane w: Journal of Mathematical Biology, Numer 79/6-7, 2019, Strona(/y) 2033-2068, ISSN 0303-6812
Wydawca: Springer Verlag
DOI: 10.1007/s00285-019-01419-3

Time-optimality by distance-optimality for parabolic control systems

Autorzy: Lucas Bonifacius, Karl Kunisch
Opublikowane w: ESAIM: Mathematical Modelling and Numerical Analysis, Numer 54/1, 2020, Strona(/y) 79-103, ISSN 0764-583X
Wydawca: EDP Sciences
DOI: 10.1051/m2an/2019046

A Hybrid Finite-Dimensional RHC for Stabilization of Time-Varying Parabolic Equations

Autorzy: Behzad Azmi, Karl Kunisch
Opublikowane w: SIAM Journal on Control and Optimization, Numer 57/5, 2019, Strona(/y) 3496-3526, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1239787

Feedback Stabilization of the Two-Dimensional Navier–Stokes Equations by Value Function Approximation

Autorzy: Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: Applied Mathematics & Optimization, Numer 80/3, 2019, Strona(/y) 599-641, ISSN 0095-4616
Wydawca: Springer Verlag
DOI: 10.1007/s00245-019-09586-x

On a Monotone Scheme for Nonconvex Nonsmooth Optimization with Applications to Fracture Mechanics

Autorzy: Daria Ghilli, Karl Kunisch
Opublikowane w: Journal of Optimization Theory and Applications, Numer 183/2, 2019, Strona(/y) 609-641, ISSN 0022-3239
Wydawca: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-019-01545-4

Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints

Autorzy: Karl Kunisch, Hannes Meinlschmidt
Opublikowane w: Journal de Mathématiques Pures et Appliquées, Numer 138, 2020, Strona(/y) 46-87, ISSN 0021-7824
Wydawca: Elsevier BV
DOI: 10.1016/j.matpur.2020.03.006

Time optimal control‐based RF pulse design under gradient imperfections

Autorzy: Christoph S. Aigner, Armin Rund, Samy Abo Seada, Anthony N. Price, Joseph V. Hajnal, Shaihan J. Malik, Karl Kunisch, Rudolf Stollberger
Opublikowane w: Magnetic Resonance in Medicine, Numer 83/2, 2019, Strona(/y) 561-574, ISSN 0740-3194
Wydawca: John Wiley & Sons Inc.
DOI: 10.1002/mrm.27955

Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations

Autorzy: Tobias Breiten, Karl Kunisch
Opublikowane w: Discrete & Continuous Dynamical Systems - A, Numer 40/7, 2020, Strona(/y) 4197-4229, ISSN 1553-5231
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/dcds.2020178

Global Stabilization of BBM–Burgers’ Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis

Autorzy: Sudeep Kundu, Amiya Kumar Pani
Opublikowane w: Journal of Scientific Computing, Numer 81/2, 2019, Strona(/y) 845-880, ISSN 0885-7474
Wydawca: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-019-01039-5

A time-dependent obstacle problem in linearised elasticity

Autorzy: Paolo Piersanti
Opublikowane w: Nonlinear Analysis, Numer 192, 2020, Strona(/y) 111660, ISSN 0362-546X
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.na.2019.111660

Numerical methods for static shallow shells lying over an obstacle

Autorzy: Paolo Piersanti, Xiaoqin Shen
Opublikowane w: Numerical Algorithms, 2020, ISSN 1017-1398
Wydawca: Baltzer Science Publishers B.V.
DOI: 10.1007/s11075-019-00830-7

An existence and uniqueness theorem for the dynamics of flexural shells

Autorzy: Paolo Piersanti
Opublikowane w: Mathematics and Mechanics of Solids, Numer 25/2, 2020, Strona(/y) 317-336, ISSN 1081-2865
Wydawca: SAGE Publications
DOI: 10.1177/1081286519876322

Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression

Autorzy: Behzad Azmi, Dante Kalise, Karl Kunisch
Opublikowane w: Journal of Machine Learning Research, Numer 22, 2021, Strona(/y) 1-32, ISSN 1532-4435
Wydawca: MIT Press

Numerical simulations for the dynamics of flexural shells

Autorzy: Xiaoqin Shen, Luisa Piersanti, Paolo Piersanti
Opublikowane w: Mathematics and Mechanics of Solids, Numer Volume: 25 issue: 4,, 2020, Strona(/y) 887-912, ISSN 1081-2865
Wydawca: SAGE Publications
DOI: 10.1177/1081286519891230

Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations

Autorzy: Sérgio S. Rodrigues
Opublikowane w: Journal of Nonlinear Science, Numer 31, Article number: 100, 2021, ISSN 0938-8974
Wydawca: Springer Verlag
DOI: 10.1007/s00332-021-09756-8

Optimal Control of the Two-Dimensional Stationary Navier--Stokes Equations with Measure Valued Controls

Autorzy: Eduardo Casas, Karl Kunisch
Opublikowane w: SIAM Journal on Control and Optimization, Numer Volume 57, Numer 2, 2019, Strona(/y) 1328–1354, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1185582

Simultaneous multislice refocusing via time optimal control

Autorzy: Armin Rund, Christoph Stefan Aigner, Karl Kunisch, Rudolf Stollberger
Opublikowane w: Magnetic Resonance in Medicine, Numer Volume 80, Numer 4, 2018, Strona(/y) 1416-1428, ISSN 0740-3194
Wydawca: John Wiley & Sons Inc.
DOI: 10.1002/mrm.27124

Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and its Finite Element Analysis

Autorzy: Sudeep Kundu, Amiya Kumar Pani
Opublikowane w: Journal of Scientific Computing, Numer 84, Article number: 45, 2020, ISSN 0885-7474
Wydawca: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-020-01294-x

Learning nonlocal regularization operators

Autorzy: Gernot Holler, Karl Kunisch
Opublikowane w: Mathematical Control and Related Fields (MCRF), Numer 12(1), 2022, Strona(/y) 81-114, ISSN 2156-8472
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2021003

Optimal control of the principal coefficient in a scalar wave equation

Autorzy: Christian Clason, Karl Kunisch, Philip Trautmann
Opublikowane w: Applied Mathematics & Optimization volume, Numer 84, 2021, Strona(/y) 2889–2921, ISSN 0095-4616
Wydawca: Springer Verlag
DOI: 10.1007/s00245-020-09733-9

Maximal Lp-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems

Autorzy: Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Opublikowane w: Journal of Differential Equations, Numer 294, 2021, Strona(/y) 60-87, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2021.05.046

Inverse problem of breaking line identification by shape optimization

Autorzy: Daria Ghilli, Karl Kunisch, Victor A. Kovtunenko
Opublikowane w: Journal of Inverse and Ill-posed Problems, Numer 28(1), 2019, Strona(/y) 119-135, ISSN 0928-0219
Wydawca: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2019-0047

A shape derivative for optimal control of the nonlinear Brinkman-Forchheimer equation

Autorzy: Jose Rodrigo Gonzalez Granada, Victor A. Kovtunenko
Opublikowane w: Journal of Applied and Numerical Optimization, Numer 3(2), 2021, Strona(/y) 243-261, ISSN 2562-5535
Wydawca: Journal of Applied and Numerical Optimization
DOI: 10.23952/jano.3.2021.2.02

Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies

Autorzy: Hiromichi Itou, Victor A.Kovtunenko, Evgeny M.Rudoy
Opublikowane w: Applications in Engineering Science, Numer Volume 7, 2021, Strona(/y) 100060, ISSN 2666-4968
Wydawca: Oxford Elsevier Ltd.
DOI: 10.1016/j.apples.2021.100060

Optimal control of the linear wave equation by time-depending BV-controls: A semi-smooth Newton approach

Autorzy: Sebastian Engel, Karl Kunisch
Opublikowane w: Mathematical Control and Related Fields, Numer 10(3), 2020, Strona(/y) 591-622, ISSN 2156-8472
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2020012

Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces

Autorzy: Behzad Azmi, Karl Kunisch
Opublikowane w: Journal of Optimization Theory and Applications volume, Numer 185, 2020, Strona(/y) 819 - 844, ISSN 0022-3239
Wydawca: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-020-01677-y

Sparse and switching infinite horizon optimal controls with mixed-norm penalizations

Autorzy: Dante Kalise, Karl Kunisch, Zhiping Rao
Opublikowane w: ESIAM:COCV, Numer Volume 26, Article Number 61, 2020, Strona(/y) 25, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2019038

Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation

Autorzy: Karl Kunisch, Daniel Walter
Opublikowane w: Control, Optimisation and Calculus of Variations, Numer Volume 27, 16, 2021, Strona(/y) 59, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2021009

Uniform Stabilization of 3D Navier–Stokes Equations in Low Regularity Besov Spaces with Finite Dimensional, Tangential-Like Boundary, Localized Feedback Controllers

Autorzy: Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Opublikowane w: Arch. Rational Mech. Anal., Numer 241, 2021, Strona(/y) 1575-1654, ISSN 0003-9527
Wydawca: Springer Verlag
DOI: 10.1007/s00205-021-01677-w

Total Deep Variation for Linear Inverse Problems

Autorzy: Erich Kobler, Alexander Effland, Karl Kunisch, Thomas Pock
Opublikowane w: IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2020, Strona(/y) 7546-7555
Wydawca: IEEE
DOI: 10.1109/cvpr42600.2020.00757

A monotone scheme for sparsity optimization in lp with p Є (0,1]

Autorzy: Daria Ghilli, Karl Kunisch
Opublikowane w: IFAC-PapersOnLine, Numer 50/1, 2017, Strona(/y) 494-499, ISSN 2405-8963
Wydawca: ScienceDirect
DOI: 10.1016/j.ifacol.2017.08.102

A reduction method for Riccati-based control of the Fokker-Planck equation

Autorzy: Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Opublikowane w: IFAC-PapersOnLine, Numer 50/1, 2017, Strona(/y) 1631-1636, ISSN 2405-8963
Wydawca: ScienceDirect
DOI: 10.1016/j.ifacol.2017.08.329

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