Prof. Dr. Günter Leugering
Department of Data Science
FAU Senior Fellow of Applied Mathematics
FAU MoD Steering Committee
Friedrich-Alexander-Universität Erlangen-Nürnberg
guenter.leugering@fau.de
Partial Differential Equations, Data Sciences
Latest news
Lecture: Exact Boundary Controllability of a Timoshenko Beam
Lecture: Domain decomposition for space-time fractional optimal control problems on metric graphs
Trends in Mathematical Sciences 2024, June 2024
Publications
2024
Non-Overlapping Domain Decomposition for 1D Optimal Control Problems Governed by Time-Fractional Diffusion Equations on Coupled Domains: Optimality System and Virtual Controls
In: Fractal and Fractional 8 (2024), Article No.: 129
ISSN: 2504-3110
DOI: 10.3390/fractalfract8030129 , , :
2023
CONTROLLABILITY FOR THE WAVE EQUATION ON GRAPH WITH CYCLE AND DELTA-PRIME VERTEX CONDITIONS
In: Evolution Equations and Control Theory 12 (2023), p. 1542-1558
ISSN: 2163-2480
DOI: 10.3934/eect.2023025 , , :
Convection dominated singularly perturbed problems on a metric graph
In: Journal of Computational and Applied Mathematics 425 (2023), Article No.: 115062
ISSN: 0377-0427
DOI: 10.1016/j.cam.2023.115062 , :
Nonoverlapping domain decomposition and virtual controls for optimal control problems of p-type on metric graphs
In: Emmanuel Trélat, Enrique Zuazua (ed.): Handbook of Numerical Analysis, Elsevier B.V., 2023, p. 217-260
DOI: 10.1016/bs.hna.2022.11.002 :
2022
CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
2022 , , , , , , , :
Controllability properties of a hyperbolic system with dynamic boundary conditions
In: Journal of Evolution Equations 22 (2022)
ISSN: 1424-3199
DOI: 10.1007/s00028-022-00823-5 , , , :
OPTIMAL CONTROL PROBLEMS OF PARABOLIC FRACTIONAL STURM-LIOUVILLE EQUATIONS IN A STAR GRAPH
In: Mathematical Control and Related Fields (2022)
ISSN: 2156-8472
DOI: 10.3934/mcrf.2022015 , , , :
On the robustness of the topological derivative for Helmholtz problems and applications
In: Control and Cybernetics 51 (2022), p. 227-248
ISSN: 0324-8569
DOI: 10.2478/candc-2022-0015 , , :
Distributed optimal control problems driven by space-time fractional parabolic equations
In: Control and Cybernetics 51 (2022), p. 191-226
ISSN: 0324-8569
DOI: 10.2478/candc-2022-0014 , , :
Well-posedness, optimal control and discretization for time-fractional parabolic equations with time-dependent coefficients on metric graphs
In: Asian Journal of Control (2022)
ISSN: 1561-8625
DOI: 10.1002/asjc.2958 , , :
2021
Optimisation of Region of Attraction Estimates for the Exponential Stabilisation of the Intrinsic Geometrically Exact Beam Model
60th IEEE Conference on Decision and Control (CDC) (, ELECTR NETWORK)
In: 2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), NEW YORK: 2021
DOI: 10.1109/CDC45484.2021.9683680 , , , , :
A TRIBUTE TO PROFESSOR ENRIQUE ZUAZUA ON HIS 60TH BIRTHDAY PREFACE
In: Esaim-Control Optimisation and Calculus of Variations 27 (2021)
ISSN: 1292-8119
DOI: 10.1051/cocv/2021089 , , , , , , :
On boundary exact controllability of one-dimensional wave equations with weak and strong interior degeneration
In: Mathematical Methods in the Applied Sciences (2021)
ISSN: 0170-4214
DOI: 10.1002/mma.7811 , , :
TIME-DOMAIN DECOMPOSITION FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR HYPERBOLIC SYSTEMS
In: SIAM Journal on Control and Optimization 59 (2021), p. 4339-4372
ISSN: 0363-0129
DOI: 10.1137/20M138329X , , , , :
Singularly perturbed reaction–diffusion problems on a k-star graph
In: Mathematical Methods in the Applied Sciences (2021)
ISSN: 0170-4214
DOI: 10.1002/mma.7749 , :
Nodal profile control for networks of geometrically exact beams
In: Journal De Mathematiques Pures Et Appliquees (2021)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2021.07.007 , , :
Existence and Uniqueness of Time-Fractional Diffusion Equation on a Metric Star Graph
1st International Conference on Computational Sciences - Modelling, Computing and Soft Computing, CSMCS 2020 (Virtual, Online, September 10, 2020 - September 12, 2020)
In: Ashish Awasthi, Sunil Jacob John, Satyananda Panda (ed.): Communications in Computer and Information Science 2021
DOI: 10.1007/978-981-16-4772-7_2 , , :
EXISTENCE RESULTS AND STABILITY ANALYSIS FOR A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM ON A CIRCULAR RING WITH AN ATTACHED EDGE : A STUDY OF FRACTIONAL CALCULUS ON METRIC GRAPH
In: Networks and Heterogeneous Media 16 (2021), p. 155-185
ISSN: 1556-1801
DOI: 10.3934/nhm.2021003 , , :
FRACTIONAL OPTIMAL CONTROL PROBLEMS ON A STAR GRAPH: OPTIMALITY SYSTEM AND NUMERICAL SOLUTION
In: Mathematical Control and Related Fields 11 (2021), p. 189-209
ISSN: 2156-8472
DOI: 10.3934/mcrf.2020033 , , :
OPTIMAL CONTROL PROBLEMS DRIVEN BY TIME-FRACTIONAL DIFFUSION EQUATIONS ON METRIC GRAPHS: OPTIMALITY SYSTEM AND FINITE DIFFERENCE APPROXIMATION
In: SIAM Journal on Control and Optimization 59 (2021), p. 4216-4242
ISSN: 0363-0129
DOI: 10.1137/20M1340332 , , :
An adaptive spectral graph wavelet method for PDEs on networks
In: Advances in Computational Mathematics 47 (2021), Article No.: 12
ISSN: 1019-7168
DOI: 10.1007/s10444-020-09824-9 , , :
Boundary controllability of a system modelling a partially immersed obstacle
In: Esaim-Control Optimisation and Calculus of Variations 27 (2021)
ISSN: 1292-8119
DOI: 10.1051/cocv/2021076 , , :
2020
On an initial boundary-value problem for 1D hyperbolic equation with interior degeneracy: Series solutions with the continuously differentiable fluxes
In: Journal of Optimization, Differential Equations and Their Applications 28 (2020), p. 1-42
ISSN: 2312-4547
DOI: 10.15421/142001 , , :
Optimal control of a population dynamics model with missing birth rate
In: SIAM Journal on Control and Optimization 58 (2020), p. 1289-1313
ISSN: 0363-0129
DOI: 10.1137/19M125875X , , :
Asymptotic analysis of a bit brace shaped junction of thin rods
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 100 (2020)
ISSN: 0044-2267
DOI: 10.1002/zamm.201900227 , , , :
An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems
In: Mathematical Methods in the Applied Sciences (2020)
ISSN: 0170-4214
DOI: 10.1002/mma.6800 , , :
Optimal control of a fractional Sturm-Liouville problem on a star graph
In: Optimization (2020)
ISSN: 0233-1934
DOI: 10.1080/02331934.2020.1730371 , , :
BOUNDARY FEEDBACK STABILIZATION FOR THE INTRINSIC GEOMETRICALLY EXACT BEAM MODEL
In: SIAM Journal on Control and Optimization 58 (2020), p. 3533-3558
ISSN: 0363-0129
DOI: 10.1137/20M1340010 , :
Model-Based Optimization of Ripening Processes with Feedback Modules
In: Chemical Engineering & Technology 43 (2020), p. 896-903
ISSN: 0930-7516
DOI: 10.1002/ceat.201900515 , , , , :
Modeling, Simulation and Optimization of Process Chains
In: Heinrich, Stefan (ed.): Dynamic Flowsheet Simulation of Solids Processes, Springer International Publishing, 2020, p. 549-578
ISBN: 978-3-030-45167-7
DOI: 10.1007/978-3-030-45168-4 , , , , :
Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions
In: Chinese Annals of Mathematics Series B 41 (2020), p. 325-334
ISSN: 0252-9599
DOI: 10.1007/s11401-020-0201-1
URL: https://link.springer.com/article/10.1007/s11401-020-0201-1 , , :
2019
A NOTE on WEIGHTED SOBOLEV SPACES RELATED to WEAKLY and STRONGLY DEGENERATE DIFFERENTIAL OPERATORS
In: Journal of Optimization, Differential Equations and Their Applications 27 (2019), p. 1-22
ISSN: 2312-4547
DOI: 10.15421/141905 , , , :
Towards a lifecycle oriented design of infrastructure by mathematical optimization
In: Optimization and Engineering 20 (2019), p. 215-249
ISSN: 1389-4420
DOI: 10.1007/s11081-018-9406-5 , , , , , , , , :
SIMULATION AND STRUCTURAL OPTIMIZATION OF 3D TIMOSHENKO BEAM NETWORKS BASED ON FULLY ANALYTIC NETWORK SOLUTIONS
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 52 (2019), p. 2409-2431
ISSN: 0764-583X
DOI: 10.1051/m2an/2018065 , , , , :
1-d Wave Equations Coupled via Viscoelastic Springs and Masses: Boundary Controllability of a Quasilinear and Exponential Stabilizability of a Linear Model
In: Springer INdAM Series, Springer International Publishing, 2019, p. 139-156 (Springer INdAM Series, Vol.32)
DOI: 10.1007/978-3-030-17949-6_8 , , :
The asymptotic analysis of a junction of two elastic beams
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 99 (2019), Article No.: e201700192
ISSN: 0044-2267
DOI: 10.1002/zamm.201700192 , , :
Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides
In: Asymptotic Analysis 111 (2019), p. 69-111
ISSN: 0921-7134
DOI: 10.3233/ASY-181487 , , :
Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph
In: Journal of Mathematical Analysis and Applications (2019)
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.05.011 , , :
A fast adaptive spectral graph wavelet method for the viscous Burgers' equation on a star-shaped connected graph
In: Mathematical Methods in the Applied Sciences (2019)
ISSN: 0170-4214
DOI: 10.1002/mma.5907 , , :
Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions
In: Nonlinear Analysis-Real World Applications 49 (2019), p. 71-89
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2019.02.006 , , :
Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops
In: Journal De Mathematiques Pures Et Appliquees 129 (2019), p. 34-60
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2018.10.001 , , :
2018
Towards Simulation Based Mixed-Integer Optimization with Differential Equations
In: Networks 72 (2018), p. 60-83
ISSN: 0028-3045
DOI: 10.1002/net.21812
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/net.21812
(Techreport) , , , , , :
2017
Interaction of light with hematite hierarchical structures: Experiments and simulations
In: Journal of Quantitative Spectroscopy & Radiative Transfer 189 (2017), p. 369-382
ISSN: 0022-4073
DOI: 10.1016/j.jqsrt.2016.12.028 , , , , , , , , , , , :
Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications
In: Manchanda, Pammy; Lozi, René; Siddiqi, Abul Hasan (ed.): Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms, Singapore: Springer Singapore, 2017, p. 77-122 (Industrial and Applied Mathematics)
ISBN: 978-981-10-3758-0
DOI: 10.1007/978-981-10-3758-0_5
URL: https://opus4.kobv.de/opus4-trr154/files/121/isiam-paper.pdf , , , , :
CONTROL AND STABILIZATION OF DEGENERATE WAVE EQUATIONS
In: SIAM Journal on Control and Optimization 55 (2017), p. 2052-2087
ISSN: 0363-0129
DOI: 10.1137/15M1020538 , , :
NEUMANN BOUNDARY FEEDBACK STABILIZATION FOR A NONLINEAR WAVE EQUATION: A STRICT H-2-LYAPUNOV FUNCTION
In: Mathematical Control and Related Fields 7 (2017), p. 419-448
ISSN: 2156-8472
DOI: 10.3934/mcrf.2017015 , , :
Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams
In: Chinese Annals of Mathematics. Series B 38 (2017), p. 711-740
ISSN: 1860-6261
DOI: 10.1007/s11401-017-1092-7 , , :
Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks
In: Control and Cybernetics 46 (2017), p. 191-225
ISSN: 0324-8569
(Techreport) , , , :
Model-based control of dynamic frictional contact problems using the example of hot rolling
In: Computer Methods in Applied Mechanics and Engineering 319 (2017), p. 442-471
ISSN: 0045-7825
DOI: 10.1016/j.cma.2017.03.006 , , :
2016
Approximation of optimal control problems in the coefficient for the p-Laplace equation. I. Convergence result
In: SIAM Journal on Control and Optimization 54 (2016), p. 1406-1422
ISSN: 0363-0129
DOI: 10.1137/15M1028108 , , :
Model-Based Design of Biochemical Microreactors
In: Frontiers in Bioengineering and Biotechnology (2016)
ISSN: 2296-4185
DOI: 10.3389/fbioe.2016.00013
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ElbingerGahnNeusRaduHanteVollLeugering_ModelBasedDesignOfBioMicroReact , , , , , , :
Aerodynamic web forming: process simulation and material properties
In: Journal of Mathematics in Industry 6 (2016), Article No.: 13
ISSN: 2190-5983
DOI: 10.1186/s13362-016-0034-4 , , , , , , :
A shape-topological control of variational inequalities
In: Eurasian Mathematical Journal 7 (2016), p. 41-52
ISSN: 2077-9879
URL: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85007622311&origin=inward , :
A shape-topological control problem for nonlinear crack-defect interaction: The antiplane variational model
In: SIAM Journal on Control and Optimization 54 (2016), p. 1329-1351
ISSN: 0363-0129
DOI: 10.1137/151003209 , :
Adjungierten-basierte Prozessoptimierung der Nanopartikel-Synthese
In: Chemie Ingenieur Technik 88 (2016), p. 1366-1367
ISSN: 0009-286X
DOI: 10.1002/cite.201650478 , , :
Passive control of singularities by topological optimization: The second-order mixed shape derivatives of energy functionals for variational inequalities
Springer International Publishing, 2016
DOI: 10.1007/978-3-319-30785-5_4 , , :
Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models
In: Journal of Computational Physics 314 (2016), p. 167-193
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2016.03.012
URL: http://www.sciencedirect.com/science/article/pii/S0021999116001649 , , :
Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions
In: Mathematical Methods in the Applied Sciences 40 (2016), p. 3808-3820
ISSN: 0170-4214
DOI: 10.1002/mma.4265
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4265 , , :
2015
On the inverse problem of the two-velocity tree-like graph
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 95 (2015), p. 1490-1500
ISSN: 0044-2267
DOI: 10.1002/zamm.201400126 , , , :
STATIONARY STATES IN GAS NETWORKS
In: Networks and Heterogeneous Media 10 (2015), p. 295-320
ISSN: 1556-1801
DOI: 10.3934/nhm.2015.10.295 , , , :
ANALYSIS OF A SYSTEM OF NONLOCAL CONSERVATION LAWS FOR MULTI-COMMODITY FLOW ON NETWORKS
In: Networks and Heterogeneous Media 10 (2015), p. 749-785
ISSN: 1556-1801
DOI: 10.3934/nhm.2015.10.749 , , , :
FIMOR: An efficient simulation for ZnO quantum dot ripening applied to the optimization of nanoparticle synthesis
In: Chemical Engineering Journal 260 (2015), p. 706--715
ISSN: 0300-9467
DOI: 10.1016/j.cej.2014.09.040 , , , , , :
On Timoshenko thin elastic inclusions inside elastic bodies
In: Mathematics and Mechanics of Solids 20 (2015), p. 495-511
ISSN: 1081-2865
DOI: 10.1177/1081286513505106 , :
Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions I
In: Zeitschrift für Analysis und ihre Anwendungen 34 (2015), p. 85-108
ISSN: 0232-2064
DOI: 10.4171/ZAA/1530 , , :
Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions II
In: Zeitschrift für Analysis und ihre Anwendungen 34 (2015), p. 199-219
ISSN: 0232-2064
DOI: 10.4171/ZAA/1536 , , :
Time delay in optimal control loops for wave equations
In: Esaim-Control Optimisation and Calculus of Variations (2015), Article No.: 038
ISSN: 1262-3377
DOI: 10.1051/cocv/2015038 , :
Control of crack propagation by shape-topological optimization
In: Discrete and Continuous Dynamical Systems 35 (2015), p. 2625--2657
ISSN: 1078-0947
DOI: 10.3934/dcds.2015.35.2625 , , :
Shape- and Topology Optimization for Passive Control of Crack Propagation
In: Aldo Pratelli; Günter Leugering (ed.): Shape- and Topology Optimization for Passive Control of Crack Propagation - New Trends in Shape Optimization, Springer International Publishing, 2015, p. 141-197 (International Series of Numerical Mathematics, Vol.166)
ISBN: 978-3-319-17563-8
DOI: 10.1007/978-3-319-17563-8_7
URL: http://link.springer.com/chapter/10.1007/978-3-319-17563-8_7 , , :
Shape-topological differentiability of energy functionals for unilateral problems in domains with cracks and applications
Springer Verlag, 2015
DOI: 10.1007/978-3-319-08025-3_8 , , :
From in situ characterization to process control of quantum dot systems
7th World Congress on Particle Technology, WCPT 2014 (Bejing, May 19, 2014 - May 22, 2014)
DOI: 10.1016/j.proeng.2015.01.129 , , , , , :
Unified Design Strategies for Particulate Products
Academic Press Inc., 2015
(Advances in Chemical Engineering, Vol.46)
ISBN: 978-0-12-801247-5
DOI: 10.1016/bs.ache.2015.10.004 , , , :
New Trends in Shape Optimization
Springer International Publishing, 2015
(International Series of Numerical Mathematics, Vol.166)
ISBN: 978-3-319-17563-8
DOI: 10.1007/978-3-319-17563-8
URL: http://link.springer.com/book/10.1007/978-3-319-17563-8 , :
On the efficient solution of a patch problem with multiple elliptic inclusions
In: Optimization and Engineering 16 (2015), p. 225-246
ISSN: 1389-4420
DOI: 10.1007/s11081-014-9262-x , , , :
Shape Optimization in Electromagnetic Applications
In: Aldo Pratelli, Günter Leugering (ed.): New Trends in Shape Optimization, Springer, 2015, p. 251-269 (International Series of Numerical Mathematics, Vol.166)
DOI: 10.1007/978-3-319-17563-8_11 , , , :
2014
Regularity Theory and Adjoint-Based Optimality Conditions for a Nonlinear Transport Equation with Nonlocal Velocity
In: SIAM Journal on Control and Optimization 52 (2014), p. 2141--2163
ISSN: 0363-0129
DOI: 10.1137/120873832 , , , :
Modeling, analysis and optimization of particle growth, nucleation and ripening by the way of nonlinear hyperbolic integro-partial differential equations
In: Günter Leugering; Peter Benner; Sebastian Engell; Andreas Griewank; Helmut Harbrecht; Michael Hinze; Rolf Rannacher; Stefan Ulbrich (ed.): Trends in PDE Constrained Optimization, Springer, 2014, p. 471-486 (International Series of Numerical Mathematics, Vol.165)
DOI: 10.1007/978-3-319-05083-6_30 , , :
Timoshenko Thin Inclusions in an Elastic Body with Possible Delamination
In: Doklady Physics 59 (2014), p. 401-404
ISSN: 1028-3358
DOI: 10.1134/S1028335814090018 , , :
Optimal and approximate boundary controls of an elastic body with quasistatic evolution of damage
In: Mathematical Methods in the Applied Sciences (2014), p. n/a
ISSN: 0170-4214
DOI: 10.1002/mma.3257 , :
Adaptive finite elements based on sensitivities for topological mesh changes
In: Control and Cybernetics 43 (2014), p. 279-306
ISSN: 0324-8569
URL: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018838294&origin=inward , , :
Delaminated thin elastic inclusions inside elastic bodies
In: Mathematics and Mechanics of Complex Systems 2 (2014), p. 1-21
ISSN: 2326-7186
DOI: 10.2140/memocs.2014.2.1 , :
The Eshelby Theorem and its Variants for Piezoelectric Media
In: Archive for Rational Mechanics and Analysis (2014), p. n/a
ISSN: 0003-9527
DOI: 10.1007/s00205-014-0803-4 , :
Asymptotic analysis of 3-D thin piezoelectric rods
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 94 (2014), p. 529--550
ISSN: 0044-2267
DOI: 10.1002/zamm.201100169 , , :
2013
Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay
25th IFIP TC 7 Conference, CSMO 2011 (Berlin, September 12, 2011 - September 16, 2011)
In: System Modeling and Optimization, Berlin, Heidelberg: 2013
DOI: 10.1007/978-3-642-36062-6_26
URL: http://link.springer.com/chapter/10.1007/978-3-642-36062-6_26 , , :
Matrix-Valued L1-Optimal Controls in the Coefficients of linear elliptic problems
In: Zeitschrift für Analysis und ihre Anwendungen 32 (2013), p. 433-456
ISSN: 0232-2064
DOI: 10.4171/ZAA/1493 , :
Shape-topological differentiability of energy functionals in domains with cracks
2013 18th International Conference on Methods and Models in Automation and Robotics, MMAR 2013 (Miedzyzdroje)
URL: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84893506756&origin=inward , , , , :
A cohesive crack propagation model: Mathematical theory and numerical solution
In: Communications on Pure and Applied Analysis 12 (2013), p. 1705-1729
ISSN: 1534-0392
DOI: 10.3934/cpaa.2013.12.1705 , , , :
Material and shape optimization for multi-layered vocal fold models using transient loadings
In: Journal of the Acoustical Society of America 134 (2013), p. 1261-1270
ISSN: 0001-4966
DOI: 10.1121/1.4812253 , , , , , :
2012
Optimization of electro-mechanical smart structures
In: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich, (ed.): Constrained Optimization and Optimal Control for Partial Differential Equations, Basel: Birkhäuser/ Springer Basel AG, 2012, p. 501-519 (International Series of Numerical Mathematics, Vol.160)
ISBN: 978-3-0348-0132-4
DOI: 10.1007/978-3-0348-0133-1_26 , , , , :
An adaptive finite element method based on sensitivities for node insertion
In: GAMM-Mitteilungen 35 (2012), p. 175-190
ISSN: 0936-7195
DOI: 10.1002/gamm.201210012
URL: http://onlinelibrary.wiley.com/doi/10.1002/gamm.201210012/full , , :
Process control strategies for the gas phase synthesis of silicon nanoparticles
In: Chemical Engineering Science 73 (2012), p. 181--194
ISSN: 0009-2509
DOI: 10.1016/j.ces.2012.01.035 , , , , :
H (2)-stabilization of the Isothermal Euler equations: a Lyapunov function approach
In: Chinese Annals of Mathematics Series B 33 (2012), p. 479-500
ISSN: 0252-9599
DOI: 10.1007/s11401-012-0727-y
URL: http://link.springer.com/article/10.1007/s11401-012-0727-y , , , :
Performance and Comparison of BlueM.MPC and Lamatto
In: Birkhäuser Basel (ed.): Mathematical Optimization of Water Networks, Springer Basel, 2012, p. 151-165 (International Series of Numerical Mathematics, Vol.162)
ISBN: 978-3-0348-0435-6
DOI: 10.1007/978-3-0348-0436-3_9 , , , :
Real-Time Control of Urban Drainage Systems
In: Birkhäuser Basel (ed.): Mathematical Optimization of Water Networks, Springer Basel, 2012, p. pp 129-150 (International Series of Numerical Mathematics, Vol.162)
ISBN: 978-3-0348-0435-6
DOI: 10.1007/978-3-0348-0436-3_8 , :
Feedback stabilization of quasilinear hyperbolic systems with varying delays
17th International Conference on Methods and Models in Automation and Robotics (MMAR) (Miedzyzdroje, Poland, August 27, 2012 - August 30, 2012)
In: Methods and Models in Automation and Robotics (MMAR) 2012
DOI: 10.1109/MMAR.2012.6347931
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6347931&isnumber=6347808 , , :
Optimal Control of Inclusion and Crack Shapes in Elastic Bodies
In: Journal of Optimization Theory and Applications (2012)
ISSN: 0022-3239
DOI: 10.1007/s10957-012-0053-2 , , :
Optimal L1-Control in Coefficients for Dirichlet Elliptic Problems: H-Optimal Solutions
In: Zeitschrift für Analysis und ihre Anwendungen 31 (2012), p. 31--53
ISSN: 0232-2064
DOI: 10.4171/ZAA/1447 , :
Identification, optimization and control for modern technologies
In: GAMM-Mitteilungen 35 (2012), p. 108-109
ISSN: 0936-7195
DOI: 10.1002/gamm.201210008 :
Constrained Optimization and Optimal Control for Partial Differential Equations
Basel: 2012
(ISNM, Vol. 160)
ISBN: 978-3-0348-0132-4
DOI: 10.1007/978-3-0348-0133-1
URL: http://www.springer.com/de/book/9783034801324 , , , , , , , (ed.):
Adaptive refinement based on asymptotic expansions of finite element solutions for node insertion in 1d
In: GAMM-Mitteilungen 35 (2012), p. 175-190
ISSN: 0936-7195
DOI: 10.1002/gamm.201210012 , , :
The Eshelby Theorem and Application to the optimization of an Elastic Patch
In: SIAM Journal on Applied Mathematics 72 (2012), p. 512-534
ISSN: 0036-1399
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Mathematical Optimization of Water Networks
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On an inverse problem for tree-like networks of elastic strings
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2009
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HOMOGENIZATION OF CONSTRAINED OPTIMAL CONTROL PROBLEMS FOR ONE-DIMENSIONAL ELLIPTIC EQUATIONS ON PERIODIC GRAPHS
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2008
L-infinity-norm minimal control of the wave equation: On the weakness of the bang-bang principle
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2007
Repetitive processes modelling of gas transport networks
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Conservation Law Constrained Optimization
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2005
Optimal Control for Traffic Flow Networks
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Lp-optimal boundary control for the wave equation,
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Domain decomposition in optimal control problems for partial differential equations revisited
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An overview of modelling challenges for a nonlinear plate-beam model
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2004
Global controllability between steady supercritical flows in channel networks
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2003
Time-domain decomposition of optimal control problems for the wave equation
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Global boundary controllability of the de St. Venant equations between steady states
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2002
Regularization of L-∞ optimal control problems for distributed parameter systems
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Solutions of L-p-norm-minimal control problems for the wave equation
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S-homogenization of optimal control problems in Banach spaces
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Time domain decomposition in final value optimal control of the Maxwell system
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A posteriori error estimates in time-domain decomposition of final value optimal control of the acoustic wave equation
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The modelling and stabilization of flows in networks of open canals
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Guidelines for the production of nanoscaled particles and products
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Modelling, stabilization and control of flow in networks of open channels
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Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization
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On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli- and Rayleigh-beams , :
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2000
Dynamic domain decomposition in approximate and exact boundary control in problems of transmission for wave equations
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Domain decomposition of optimal control problems for dynamic networks of elastic strings
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On the semi-discretization of optimal control problems for networks of elastic strings: global optimality systems and domain decomposition
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1999
On boundary observability estimates for semi-discretizations of a dynamic network of elastic strings
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Dynamic domain decomposition of optimal control problems for networks of strings and Timoshenko beams
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On dynamic domain decomposition of controlled networks of elastic strings and joint-masses
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ON BOUNDARY CONTROLLABILITY OF ONE-DIMENSIONAL VIBRATING SYSTEMS BY W(0)1,P-CONTROLS FOR p∈[2, ∞]
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ON THE ANALYSIS AND CONTROL OF HYPERBOLIC SYSTEMS ASSOCIATED WITH VIBRATING NETWORKS
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MODELING OF DYNAMIC NETWORKS OF THIN ELASTIC PLATES
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CONTROL OF PLANAR NETWORKS OF TIMOSHENKO BEAMS
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MODELING OF DYNAMIC NETWORKS OF THIN THERMOELASTIC BEAMS
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ISSN: 0170-4214
DOI: 10.1002/mma.1670160503
URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.1670160503/full , , :
1992
MODELING AND CONTROLLABILITY OF NETWORKS OF THIN BEAMS
In: L.D. Davisson; A.G.J. MacFarlane; H. Kwakernaak; J.L. Massey; Ya Z. Tsypkin; A.J. Viterbi; Peter Kall (ed.): System Modelling and Optimization - Proceedings of the 15th IFIP Conference Zurich, Switzerland, September 2–6, 1991, Berlin, Heidelberg: New York; Springer; 1999, 1992, p. 467-480 (Lecture Notes in Control and Information Sciences, Vol.180)
ISBN: 978-3-540-47220-9
DOI: 10.1007/BFb0113314
URL: http://link.springer.com/chapter/10.1007/BFb0113314 , , :
ON HYPERBOLIC SYSTEMS ASSOCIATED WITH THE MODELING AND CONTROL OF VIBRATING NETWORKS
31st IEEE Conference (, December 16, 1992 - December 18, 1992)
In: Decision and Control 1992
DOI: 10.1109/CDC.1992.371260
URL: http://ieeexplore.ieee.org/document/371260/ , , :
A DECOMPOSITION METHOD FOR INTEGRO-PARTIAL DIFFERENTIAL-EQUATIONS AND APPLICATIONS
In: Journal De Mathematiques Pures Et Appliquees 71 (1992), p. 561-587
ISSN: 0021-7824 :
1991
UNIFORM ENERGY DECAY OF A CLASS OF CANTILEVERED NONLINEAR BEAMS WITH NONLINEAR DISSIPATION AT THE FREE END
In: Jerome A. Goldstein, Franz Kappel, Wilhelm Schappacher (ed.): Differential Equations with Applications in Biology, Physics, and Engineering, New York, Basel, Hong Kong: Marcel Dekker, Inc., 1991, p. 227-239 (A Series of Lecture Notes in Pure and Applied Mathematics, Vol.133)
ISBN: 0-8247-8571-1 , :
UNIFORM STABILIZATION OF A NONLINEAR BEAM BY NONLINEAR BOUNDARY FEEDBACK
In: Journal of Differential Equations 91 (1991), p. 355-388
ISSN: 0022-0396
DOI: 10.1016/0022-0396(91)90145-Y
URL: http://www.sciencedirect.com/science/article/pii/002203969190145Y , :
ON CONTROL AND STABILIZATION OF A ROTATING BEAM BY APPLYING MOMENTS AT THE BASE ONLY
In: Prof. Karl-Heinz Hoffmann; Prof. Werner Krabs (ed.): Optimal Control of Partial Differential Equations - Proceedings of the IFIP WG 7.2 International Conference Irsee, April 9–12, 1990, Berlin; Heidelberg: New York; Springer; 1999, 1991, p. 182-191 (Lecture Notes in Control and Information Sciences, Vol.149)
ISBN: 978-3-540-46883-7
DOI: 10.1007/BFb0043223
URL: http://link.springer.com/chapter/10.1007/BFb0043223 :
1990
ON BOUNDARY FEEDBACK STABILISABILITY OF A VISCOELASTIC BEAM
In: Proceedings of the Royal Society of Edinburgh Section A-Mathematics 114 (1990), p. 57-69
ISSN: 0308-2105
DOI: 10.1017/S0308210500024264
URL: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/on-boundary-feedback-stabilisability-of-a-viscoelastic-beam/F4A796392C45ECEEE3A0142E33FAA739 :
SOME REMARKS ON EXACT CONTROLLABILITY OF STRINGS AND BEAMS WITH BOUNDARY CONTROLS IN LP(O,T), P-GREATER-THAN-OR-EQUAL-TO-2
29th IEEE Conference (, December 5, 1990 - December 7, 1990)
In: IEEE (ed.): Decision and Control, 1990., Proceedings of the 29th IEEE Conference 1990
DOI: 10.1109/CDC.1990.203793
URL: http://ieeexplore.ieee.org/document/203793/ :
1989
ON BOUNDARY CONTROLLABILITY OF VISCOELASTIC SYSTEMS - Proceedings of the IFIP WG 7.2 Working Conference Santiago de Compostela, Spain, July 6–9, 1987
In: Lecture Notes in Control and Information Sciences 114 (1989), p. 190-201
ISSN: 0170-8643
DOI: 10.1007/BFb0002592
URL: http://link.springer.com/chapter/10.1007/BFb0002592 :
ON THE REACHABILITY PROBLEM OF A VISCOELASTIC BEAM DURING A SLEWING MANEUVER
In: International Series of Numerical Mathematics 91 (1989), p. 249-261
ISSN: 0373-3149 :
BOUNDARY CONTROL OF A VIBRATING PLATE WITH INTERNAL DAMPING
In: Mathematical Methods in the Applied Sciences 11 (1989), p. 573-586
ISSN: 0170-4214
DOI: 10.1002/mma.1670110502
URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.1670110502/abstract , :
ON THE CONTROL OF NETWORKS OF VIBRATING STRINGS AND BEAMS
28th IEEE Conference (, December 13, 1989 - December 15, 1989)
In: IEEE (ed.): Decision and Control, 1989., Proceedings of the 28th IEEE Conference 1989
DOI: 10.1109/CDC.1989.70580
URL: http://ieeexplore.ieee.org/document/70580/ , :
1987
EXACT BOUNDARY CONTROLLABILITY OF AN INTEGRODIFFERENTIAL EQUATION
In: Applied Mathematics and Optimization 15 (1987), p. 223-250
ISSN: 0095-4616
DOI: 10.1007/BF01442653
URL: http://link.springer.com/article/10.1007/BF01442653 :
ON BOUNDARY CONTROLLABILITY OF VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN HILBERT-SPACES
In: Lecture Notes in Control and Information Sciences 102 (1987), p. 234-252
ISSN: 0170-8643
DOI: 10.1007/BFb0041994
URL: http://link.springer.com/chapter/10.1007/BFb0041994 :
TIME OPTIMAL BOUNDARY CONTROLLABILITY OF A SIMPLE LINEAR VISCOELASTIC LIQUID
In: Mathematical Methods in the Applied Sciences 9 (1987), p. 413-430
ISSN: 0170-4214
DOI: 10.1002/mma.1670090130
URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.1670090130/full :
1986
TIME OPTIMAL BOUNDARY CONTROLLABILITY OF A VISCOELASTIC BEAM
In: Lecture Notes in Control and Information Sciences 84 (1986), p. 535-541
ISSN: 0170-8643
DOI: 10.1007/BFb0043877
URL: http://link.springer.com/chapter/10.1007/BFb0043877 :
1985
BOUNDARY CONTROLLABILITY IN ONE-DIMENSIONAL LINEAR THERMOVISCOELASTICITY
In: JOURNAL OF INTEGRAL EQUATIONS 10 (1985), p. 157-173
ISSN: 0163-5549 :
ON BOUNDARY CONTROLLABILITY OF A VIBRATING PLATE
In: Applied Mathematics and Optimization 13 (1985), p. 205-229
ISSN: 0095-4616
DOI: 10.1007/BF01442208
URL: http://link.springer.com/article/10.1007/BF01442208 , , :
1984
EXACT CONTROLLABILITY IN VISCOELASTICITY OF FADING MEMORY TYPE
In: Applicable Analysis 18 (1984), p. 221-243
ISSN: 0003-6811
DOI: 10.1080/00036818408839521
URL: http://www.tandfonline.com/doi/abs/10.1080/00036818408839521 :
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