## Leugering, Günter

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 Author ID: leugering.gunter Published as: Leugering, Günter; Leugering, G.; Leugering, Guenter; Leugering, Günter R.; Leugering, Günther; Leugering, Gunter; Leugering, G. R. more...less External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr
 Documents Indexed: 182 Publications since 1983, including 4 Books 17 Contributions as Editor Biographic References: 1 Publication Co-Authors: 138 Co-Authors with 168 Joint Publications 3,613 Co-Co-Authors
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### Co-Authors

 30 single-authored 24 Gugat, Martin 17 Kogut, Peter I. 15 Stingl, Michael 14 Lagnese, John E. 10 Martin, Alexander 9 Schmidt, E. J. P. Georg 9 Sokołowski, Jan 7 Khludnev, Aleksandr Mikhaĭlovich 7 Mehra, Mani 7 Wang, Yue 6 Kunisch, Karl 6 Li, Tatsien 6 Nazarov, Sergeĭ Aleksandrovich 6 Steinmann, Paul 6 Tröltzsch, Fredi 5 Dick, Markus 5 Hante, Falk M. 5 Mehandiratta, Vaibhav 5 Schmidt, Martin 5 Sprekels, Jürgen 4 Herty, Michael Matthias 4 Hintermüller, Michael 4 Keimer, Alexander 4 Klar, Axel 4 Kočvara, Michal 3 Gröschel, Michael 3 Lang, Jens 3 Mophou, Gisèle Massengo 3 Prechtel, Marina 3 Schury, Fabian 3 Seidman, Thomas I. 3 Sirvent, Mathias 3 Strohmeyer, Christoph 3 Ulbrich, Stefan 3 Zochowski, Antoni 2 Avdonin, Sergeĭ Anatol’evich 2 Bänsch, Eberhard 2 Casas, Eduardo 2 Engell, Sebastian 2 Friederich, Jan 2 Griewank, Andreas 2 Hild, Johannes 2 Hinze, Michael 2 Hoffmann, Karl-Heinz 2 Kaltenbacher, Manfred 2 Klamroth, Kathrin 2 Kovtunenko, Viktor Anatolievich 2 Krabs, Werner 2 Kufner, Tobias 2 Kupenko, Ol’ga P. 2 Mikhaylov, Victor S. 2 Morsi, Antonio 2 Novotny, Antonio André 2 Ostrowski, Manfred 2 Perla Menzala, Gustavo Alberto 2 Peukert, Wolfgang 2 Rannacher, Rolf 2 Rocca, Elisabetta 2 Rodriguez, Charlotte 2 Schewe, Lars 2 Schiel, Ralph 2 Semmler, Johannes 2 Shukla, Ankita 2 Slutskij, Andrey S. 2 Taskinen, Jari 2 Wein, Fabian 2 Wintergerst, David 1 Abdon, Choque Rivero 1 Alabau-Boussouira, Fatiha 1 Benner, Peter 1 Blanco, Pablo Javier 1 Cannarsa, Piermarco 1 de Teresa, Luz 1 Elliott, Charles M. 1 Fischer, Torsten 1 Fotsing, Pasquini Soh 1 Gaile, Stefanie 1 Geißler, Björn 1 Glowinski, Roland 1 Gramsch, Simone 1 Greifenstein, Jannis 1 Gu, Qilong 1 Harbrecht, Helmut 1 Hartmaier, Alexander 1 Haslinger, Jaroslav 1 Heusch, Steffen 1 Hirsch-Dick, Markus 1 Horn, Mary Ann 1 Hundhammer, Ralf 1 Imanuvilov, Oleg Yu. 1 Janisch, R. 1 Kaltenbacher, Barbara 1 Kenne, Cyrille 1 Kolb, Oliver 1 Krug, Richard 1 Kumar, Vivek 1 Kupenko, Olha P. 1 Lasiecka, Irena 1 Marheineke, Nicole 1 Medgenberg, J. ...and 38 more Co-Authors
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### Serials

 15 Mathematical Methods in the Applied Sciences 14 SIAM Journal on Control and Optimization 9 ISNM. International Series of Numerical Mathematics 6 Zeitschrift für Analysis und ihre Anwendungen 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Applied Mathematics and Optimization 5 Control and Cybernetics 5 Journal of Optimization Theory and Applications 5 Oberwolfach Reports 5 Networks and Heterogeneous Media 3 Chinese Annals of Mathematics. Series B 3 Asymptotic Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Computational Optimization and Applications 3 GAMM-Mitteilungen 2 Applicable Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Dynamics and Stability of Systems 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Optimization and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Systems & Control: Foundations & Applications 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Mathematical Control and Related Fields 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Networks 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Integral Equations 1 Systems & Control Letters 1 Optimization 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 Doklady Physics 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 Structural and Multidisciplinary Optimization 1 Journal of Hyperbolic Differential Equations 1 International Journal of Fracture 1 Lecture Notes in Pure and Applied Mathematics 1 SIAM Journal on Imaging Sciences 1 Eurasian Mathematical Journal 1 Numerical Algebra, Control and Optimization 1 Journal of Mathematics in Industry 1 Mathematics and Mechanics of Complex Systems
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### Fields

 97 Partial differential equations (35-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 83 Mechanics of deformable solids (74-XX) 76 Systems theory; control (93-XX) 28 Numerical analysis (65-XX) 24 Operations research, mathematical programming (90-XX) 21 Fluid mechanics (76-XX) 18 General and overarching topics; collections (00-XX) 10 Ordinary differential equations (34-XX) 9 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

151 Publications have been cited 1,478 times in 873 Documents Cited by Year
Modeling, analysis and control of dynamic elastic multi-link structures. Zbl 0810.73004
Lagnese, J. E.; Leugering, Günter; Schmidt, E. J. P. G.
1994
Uniform stabilization of a nonlinear beam by nonlinear boundary feedback. Zbl 0802.73052
Lagnese, J. E.; Leugering, G.
1991
On the modelling and stabilization of flows in networks of open canals. Zbl 1024.76009
Leugering, Guenter; Schmidt, J. P. Georg
2002
Modelling of dynamic networks of thin thermoelastic beams. Zbl 0773.73060
Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G.
1993
On elastic bodies with thin rigid inclusions and cracks. Zbl 1202.35323
Khludnev, Alexander; Leugering, Günter
2010
Global boundary controllability of the de St. Venant equations between steady states. Zbl 1032.93030
Gugat, M.; Leugering, G.
2003
Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis. Zbl 1253.49001
Kogut, Peter I.; Leugering, Günter R.
2011
Optimal control for traffic flow networks. Zbl 1079.49024
Gugat, M.; Herty, M.; Klar, A.; Leugering, G.
2005
Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107
Gugat, Martin; Dick, Markus; Leugering, Günter
2011
A shape-topological control problem for nonlinear crack-defect interaction: the antiplane variational model. Zbl 1342.35381
Kovtunenko, Victor A.; Leugering, Günter
2016
Modeling and analysis of modal switching in networked transport systems. Zbl 1167.93005
Hante, Falk M.; Leugering, Günter; Seidman, Thomas I.
2009
Global controllability between steady supercritical flows in channel networks. Zbl 1047.93028
Gugat, Martin; Leugering, Günter; Schmidt, E. J. P. Georg
2004
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
2015
Control of planar networks of Timoshenko beams. Zbl 0775.93107
Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G.
1993
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
2010
Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: from modeling to industrial applications. Zbl 1396.76078
Hante, Falk M.; Leugering, Günter; Martin, Alexander; Schewe, Lars; Schmidt, Martin
2017
Domain decomposition methods in optimal control of partial differential equations. Zbl 1059.49002
Lagnese, John E.; Leugering, Günter
2004
Exact boundary controllability of an integrodifferential equation. Zbl 0625.49016
Leugering, Günter
1987
On the analysis and control of hyperbolic systems associated with vibrating networks. Zbl 0800.93602
Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G.
1994
Optimal control of cracks in elastic bodies with thin rigid inclusions. Zbl 1370.74136
Khludnev, Alexander M.; Leugering, Günter
2011
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
2014
Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009
Gugat, M.; Leugering, G.
2009
Approximation of optimal control problems in the coefficient for the $$p$$-Laplace equation. I: Convergence result. Zbl 1341.35075
Casas, Eduardo; Kogut, Peter I.; Leugering, Günter
2016
Time optimal boundary controllability of a simple linear viscoelastic liquid. Zbl 0652.76006
Leugering, G.
1987
Multidisciplinary free material optimization. Zbl 1429.74079
Haslinger, J.; Kočvara, M.; Leugering, G.; Stingl, M.
2010
Mixed integer linear models for the optimization of dynamical transport networks. Zbl 1245.90070
Geißler, Björn; Kolb, Oliver; Lang, Jens; Leugering, Günter; Martin, Alexander; Morsi, Antonio
2011
$$L^{p}$$-optimal boundary control for the wave equation. Zbl 1083.49017
Gugat, M.; Leugering, G.; Sklyar, G.
2005
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011
Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
2015
Control of crack propagation by shape-topological optimization. Zbl 1335.35073
Leugering, Günter; Sokołowski, Jan; Żochowski, Antoni
2015
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
2015
Optimal $$L^1$$-control in coefficients for Dirichlet elliptic problems: $$W$$-optimal solutions. Zbl 1223.49003
Kogut, Peter I.; Leugering, Guenter
2011
$$L^\infty$$-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006
Gugat, Martin; Leugering, Gunter
2008
Time-domain decomposition of optimal control problems for the wave equation. Zbl 1134.49313
Lagnese, J. E.; Leugering, G.
2003
On boundary controllability of a vibrating plate. Zbl 0596.49025
Krabs, Werner; Leugering, Günter; Seidman, Thomas I.
1985
Optimal control of inclusion and crack shapes in elastic bodies. Zbl 1287.49046
Khludnev, A.; Leugering, G.; Specovius-Neugebauer, M.
2012
Optimal $$L^1$$-control in coefficients for Dirichlet elliptic problems: $$H$$-optimal solutions. Zbl 1260.35064
Kogut, Peter I.; Leugering, Günter
2012
On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036
Avdonin, S.; Leugering, G.; Mikhaylov, V.
2010
MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
Dynamic domain decomposition of optimal control problems for networks of strings and Timoshenko beams. Zbl 0938.49002
Leugering, G.
1999
Exact controllability in viscoelasticity of fading memory type. Zbl 0525.93010
Leugering, G.
1985
$$H^2$$-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112
Gugat, Martin; Leugering, Günter; Tamasoiu, Simona
2012
Control and stabilization of degenerate wave equations. Zbl 1373.35185
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter
2017
Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph. Zbl 1421.34005
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2019
Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176
Gugat, Martin; Keimer, Alexander; Leugering, Günter
2009
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
2012
A strict $$H^1$$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296
Dick, Markus; Gugat, Martin; Leugering, Günter
2011
Matrix-valued $$L^1$$-optimal controls in the coefficients of linear elliptic problems. Zbl 1282.49004
Kogut, Peter I.; Leugering, Günter
2013
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $$H^2$$-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
2017
A sequential convex semidefinite programming algorithm with an application to multiple-load free material optimization. Zbl 1239.74010
Stingl, M.; Kočvara, M.; Leugering, G.
2009
On exact controllability of generic trees. Zbl 0966.74049
Leugering, Günter; Zuazua, Enrique
2000
Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073
Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M.
2011
Modelling, stabilization, and control of flow in networks of open channels. Zbl 0987.93056
Gugat, Martin; Leugering, Günter; Schittkowski, Klaus; Schmidt, E. J. P. Georg
2001
On the application of the Monge-Kantorovich problem to image registration. Zbl 1175.94023
Museyko, O.; Stiglmayr, M.; Klamroth, K.; Leugering, G.
2009
Domain decomposition of optimal control problems for dynamic networks of elastic strings. Zbl 0971.49019
Leugering, Günter
2000
Regularity theory and adjoint-based optimality conditions for a nonlinear transport equation with nonlocal velocity. Zbl 1315.35225
Gröschel, Michael; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
2014
Optimal boundary control of convention-reaction transport systems with binary control functions. Zbl 1237.49006
Hante, Falk M.; Leugering, Günter
2009
A fast adaptive spectral graph wavelet method for the viscous Burgers’ equation on a star-shaped connected graph. Zbl 07248232
Shukla, Ankita; Mehra, Mani; Leugering, Günter
2020
Free material optimization with fundamental eigenfrequency constraints. Zbl 1239.74011
Stingl, M.; Kočvara, M.; Leugering, G.
2009
Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290
Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor
2015
Boundary controllability of a viscoelastic string. Zbl 0697.73046
Leugering, G.
1989
A cohesive crack propagation model: mathematical theory and numerical solution. Zbl 1345.74100
Leugering, Günter; Prechtel, Marina; Steinmann, Paul; Stingl, Michael
2013
An augmented BV setting for feedback switching control. Zbl 1201.93047
Hante, Falk M.; Leugering, Günter; Seidman, Thomas I.
2010
Shape sensitivity analysis of a quasi-electrostatic piezoelectric system in multilayered media. Zbl 1203.49062
Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J.
2010
Solutions of $$L^p$$-norm-minimal control problems for the wave equation. Zbl 1119.90353
Gugat, Martin; Leugering, G.
2002
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
2012
Dynamic domain decomposition in approximate and exact boundary control in problems of transmission for wave equations. Zbl 0952.93010
Lagnese, J. E.; Leugering, G.
2000
Modelling and controllability of networks of thin beams. Zbl 0850.93082
Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G.
1992
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2021
Control and stabilization of a flexible robot arm. Zbl 0695.93078
Leugering, G.
1990
Boundary control of a vibrating plate with internal damping. Zbl 0703.73060
Leugering, Günter; Schmidt, E. J. P. Georg
1989
Unilateral contact problems for two perpendicular elastic structures. Zbl 1147.35047
Khludnev, Alexander; Leugering, Günter
2008
On control and stabilization of a rotating beam by applying moments at the base only. Zbl 0800.93567
Leugering, G.
1991
Regularization of $$L^\infty$$-optimal control problems for distributed parameter systems. Zbl 1015.49020
Gugat, M.; Leugering, G.
2002
Reverberation analysis and control of networks of elastic strings. Zbl 0867.73055
Leugering, Günter
1996
Trends in PDE constrained optimization. Zbl 1306.49001
2014
On boundary controllability of one-dimensional vibrating systems by $$W_ 0^{1,p}$$-controls for $$p\in [2,\infty]$$. Zbl 0796.93011
Krabs, Werner; Leugering, G.
1994
Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models. Zbl 1349.76369
Müller, Lucas O.; Leugering, Günter; Blanco, Pablo J.
2016
Nonoverlapping domain decomposition for optimal control problems governed by semilinear models for gas flow in networks. Zbl 1391.49059
Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias
2017
On boundary feedback stabilisability of a viscoelastic beam. Zbl 0699.73037
Leugering, Guenter
1990
On the effect of self-penalization of piezoelectric composites in topology optimization. Zbl 1274.74412
Wein, Fabian; Kaltenbacher, Manfred; Kaltenbacher, Barbara; Leugering, Günter; Bänsch, Eberhard; Schury, Fabian
2011
Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs. Zbl 1173.35015
Kogut, Peter I.; Leugering, Günter
2009
On the equilibrium of elastic bodies containing thin rigid inclusions. Zbl 1337.74003
Leugering, G.; Khludnev, A. M.
2010
Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization. Zbl 0994.49011
Kogut, P.; Leugering, G.
2001
On boundary observability estimates for semi-discretizations of a dynamic network of elastic strings. Zbl 0959.93003
Brauer, U.; Leugering, G.
1999
A generation result for a class of linear thermo-viscoelastic material. Zbl 0519.73031
Leugering, Guenter
1983
On the semi-discretization of optimal control problems for networks of elastic strings: Global optimality systems and domain decomposition. Zbl 0974.74040
Leugering, G.
2000
On dynamic domain decomposition of controlled networks of elastic strings and joint-masses. Zbl 0908.93034
Leugering, G.
1998
$$S$$-homogenization of optimal control problems in Banach spaces. Zbl 0994.49012
Kogut, Peter; Leugering, Günter
2002
Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079
Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter
2006
Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions. Zbl 1391.35283
Wang, Yue; Leugering, Günter; Li, Tatsien
2017
Optimal control of nonlinear hyperbolic conservation laws with switching. Zbl 1327.49014
Pfaff, Sebastian; Ulbrich, Stefan; Leugering, Günter
2014
Boundary control of a vibrating plate. Zbl 0553.93013
Leugering, G.
1984
On $$S$$-homogenization of an optimal control problem with control and state constraints. Zbl 0982.35014
Kogut, P.; Leugering, G.
2001
Instantaneous control of vibrating string networks. Zbl 1007.93038
Hundhammer, Ralf; Leugering, Günter
2001
Analysis of a system of nonlocal balance laws with weighted work in progress. Zbl 1437.35488
Keimer, Alexander; Leugering, Günter; Sarkar, Tanmay
2018
On shape optimization for an evolution coupled system. Zbl 1242.49089
Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J.
2011
Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. Zbl 1423.35245
Zhuang, Kaili; Leugering, Günter; Li, Tatsien
2019
Instantaneous optimal control of friction dominated flow in a gas-network. Zbl 1407.49074
Leugering, Günter; Mophou, Gisèle
2018
On boundary feedback stabilization of a viscoelastic membrane. Zbl 0681.93051
Leugering, G.
1989
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2021
Optimal control of a fractional Sturm-Liouville problem on a star graph. Zbl 1466.49014
Mophou, Gisèle; Leugering, Günter; Fotsing, Pasquini Soh
2021
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. Zbl 1465.34010
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2021
Boundary controllability of a system modelling a partially immersed obstacle. Zbl 1473.35358
Vergara-Hermosilla, G.; Leugering, G.; Wang, Y.
2021
An adaptive spectral graph wavelet method for PDEs on networks. Zbl 1472.65129
Mehra, Mani; Shukla, Ankita; Leugering, Günter
2021
An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems. Zbl 07376730
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2021
A fast adaptive spectral graph wavelet method for the viscous Burgers’ equation on a star-shaped connected graph. Zbl 07248232
Shukla, Ankita; Mehra, Mani; Leugering, Günter
2020
Boundary feedback stabilization for the intrinsic geometrically exact beam model. Zbl 1458.35260
Rodriguez, Charlotte; Leugering, Günter
2020
The band-gap structure of the spectrum in a periodic medium of masonry type. Zbl 1454.35130
Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari
2020
Optimal control of a population dynamics model with missing birth rate. Zbl 1453.49004
Kenne, Cyrille; Leugering, Günter; Mophou, Gisèle
2020
Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph. Zbl 1421.34005
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2019
Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. Zbl 1423.35245
Zhuang, Kaili; Leugering, Günter; Li, Tatsien
2019
Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions. Zbl 1437.35509
Wang, Yue; Leugering, Günter; Li, Tatsien
2019
MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
Analysis of a system of nonlocal balance laws with weighted work in progress. Zbl 1437.35488
Keimer, Alexander; Leugering, Günter; Sarkar, Tanmay
2018
Instantaneous optimal control of friction dominated flow in a gas-network. Zbl 1407.49074
Leugering, Günter; Mophou, Gisèle
2018
Simulation and structural optimization of 3D Timoshenko beam networks based on fully analytic network solutions. Zbl 1419.34107
Kufner, Tobias; Leugering, Günter; Semmler, Johannes; Sting, Michael; Strohmeyer, Christoph
2018
Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: from modeling to industrial applications. Zbl 1396.76078
Hante, Falk M.; Leugering, Günter; Martin, Alexander; Schewe, Lars; Schmidt, Martin
2017
Control and stabilization of degenerate wave equations. Zbl 1373.35185
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter
2017
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $$H^2$$-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
2017
Nonoverlapping domain decomposition for optimal control problems governed by semilinear models for gas flow in networks. Zbl 1391.49059
Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias
2017
Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions. Zbl 1391.35283
Wang, Yue; Leugering, Günter; Li, Tatsien
2017
Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams. Zbl 1401.35287
Gu, Qilong; Leugering, Günter; Li, Tatsien
2017
Model-based control of dynamic frictional contact problems using the example of hot rolling. Zbl 1439.74221
Werner, Stefan; Stingl, Michael; Leugering, Günter
2017
Time delay in optimal control loops for wave equations. Zbl 1356.49005
Gugat, Martin; Leugering, Günter
2017
A shape-topological control problem for nonlinear crack-defect interaction: the antiplane variational model. Zbl 1342.35381
Kovtunenko, Victor A.; Leugering, Günter
2016
Approximation of optimal control problems in the coefficient for the $$p$$-Laplace equation. I: Convergence result. Zbl 1341.35075
Casas, Eduardo; Kogut, Peter I.; Leugering, Günter
2016
Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models. Zbl 1349.76369
Müller, Lucas O.; Leugering, Günter; Blanco, Pablo J.
2016
On the relaxation of state-constrained linear control problems via Henig dilating cones. Zbl 1361.49013
Kogut, Peter I.; Leugering, Günter; Schiel, Ralph
2016
A shape-topological control of variational inequalities. Zbl 1463.35062
Kovtunenko, Viktor Anatolievich; Leugering, Günter
2016
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
2015
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011
Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
2015
Control of crack propagation by shape-topological optimization. Zbl 1335.35073
Leugering, Günter; Sokołowski, Jan; Żochowski, Antoni
2015
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
2015
On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290
Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor
2015
Optimal and approximate boundary controls of an elastic body with quasistatic evolution of damage. Zbl 1331.74141
Kogut, Peter I.; Leugering, Günter
2015
Optimal control in matrix-valued coefficients for nonlinear monotone problems: optimality conditions II. Zbl 1318.49040
Kogut, Peter I.; Kupenko, Ol&rsquo;ga P.; Leugering, Günter
2015
The Eshelby theorem and its variants for piezoelectric media. Zbl 1309.35163
Leugering, G.; Nazarov, S. A.
2015
Optimal control in matrix-valued coefficients for nonlinear monotone problems: optimality conditions. I. Zbl 1307.49005
Kogut, Peter I.; Kupenko, Ol&rsquo;ga P.; Leugering, Günter
2015
Shape optimization in electromagnetic applications. Zbl 1329.78063
Semmler, Johannes; Pflug, Lukas; Stingl, Michael; Leugering, Günter
2015
Gas distribution systems. Mathematical modeling, simulation and optimization. (Gasnetzwerke. Mathematische Modellierung, Simulation und Optimierung.) Zbl 1311.00014
Lang, Jens; Leugering, Günter; Martin, Alexander; Tischendorf, Caren
2015
Shape- and topology optimization for passive control of crack propagation. Zbl 1329.74232
Leugering, Günter; Sokołowski, Jan; Zochowski, Antoni
2015
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
2014
Regularity theory and adjoint-based optimality conditions for a nonlinear transport equation with nonlocal velocity. Zbl 1315.35225
Gröschel, Michael; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
2014
Trends in PDE constrained optimization. Zbl 1306.49001
2014
Optimal control of nonlinear hyperbolic conservation laws with switching. Zbl 1327.49014
Pfaff, Sebastian; Ulbrich, Stefan; Leugering, Günter
2014
Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312
Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke
2014
Shape-topological differentiability of energy functionals for unilateral problems in domains with cracks and applications. Zbl 1319.49068
Leugering, Günter; Sokołowski, Jan; Żochowski, Antoni
2014
On existence of optimal solutions to boundary control problem for an elastic body with quasistatic evolution of damage. Zbl 1327.74110
Kogut, Peter I.; Leugering, Günter
2014
Matrix-valued $$L^1$$-optimal controls in the coefficients of linear elliptic problems. Zbl 1282.49004
Kogut, Peter I.; Leugering, Günter
2013
A cohesive crack propagation model: mathematical theory and numerical solution. Zbl 1345.74100
Leugering, Günter; Prechtel, Marina; Steinmann, Paul; Stingl, Michael
2013
Stabilization of the gas flow in star-shaped networks by feedback controls with varying delay. Zbl 1264.93206
Gugat, Martin; Dick, Markus; Leugering, Günter
2013
Optimal control of inclusion and crack shapes in elastic bodies. Zbl 1287.49046
Khludnev, A.; Leugering, G.; Specovius-Neugebauer, M.
2012
Optimal $$L^1$$-control in coefficients for Dirichlet elliptic problems: $$H$$-optimal solutions. Zbl 1260.35064
Kogut, Peter I.; Leugering, Günter
2012
$$H^2$$-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112
Gugat, Martin; Leugering, Günter; Tamasoiu, Simona
2012
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
2012
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
2012
Mathematical optimization of water networks. Zbl 1252.65003
2012
Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch. Zbl 1284.74066
Leugering, Günter R.; Nazarov, Serguei A.; Slutskij, Andrey S.
2012
Regularized nonlinear scalarization for vector optimization problems with PDE-constraints. Zbl 1256.49048
Leugering, G.; Schiel, R.
2012
Optimization of electro-mechanical smart structures. Zbl 1356.90138
Bänsch, Eberhard; Kaltenbacher, Manfred; Leugering, Günter; Schury, Fabian; Wein, Fabian
2012
The Eshelby theorem and application to the optimization of an elastic patch. Zbl 1298.35031
Leugering, G.; Stingl, M.
2012
Optimal design of brittle composite materials: a nonsmooth approach. Zbl 1257.90091
Prechtel, Marina; Leugering, Günter; Steinmann, Paul; Stingl, Michael
2012
Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis. Zbl 1253.49001
Kogut, Peter I.; Leugering, Günter R.
2011
Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107
Gugat, Martin; Dick, Markus; Leugering, Günter
2011
Optimal control of cracks in elastic bodies with thin rigid inclusions. Zbl 1370.74136
Khludnev, Alexander M.; Leugering, Günter
2011
Mixed integer linear models for the optimization of dynamical transport networks. Zbl 1245.90070
Geißler, Björn; Kolb, Oliver; Lang, Jens; Leugering, Günter; Martin, Alexander; Morsi, Antonio
2011
Optimal $$L^1$$-control in coefficients for Dirichlet elliptic problems: $$W$$-optimal solutions. Zbl 1223.49003
Kogut, Peter I.; Leugering, Guenter
2011
A strict $$H^1$$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296
Dick, Markus; Gugat, Martin; Leugering, Günter
2011
Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073
Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M.
2011
On the effect of self-penalization of piezoelectric composites in topology optimization. Zbl 1274.74412
Wein, Fabian; Kaltenbacher, Manfred; Kaltenbacher, Barbara; Leugering, Günter; Bänsch, Eberhard; Schury, Fabian
2011
On shape optimization for an evolution coupled system. Zbl 1242.49089
Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J.
2011
Topological derivatives for networks of elastic strings. Zbl 1298.74198
Leugering, G.; Sokolowski, J.
2011
On elastic bodies with thin rigid inclusions and cracks. Zbl 1202.35323
Khludnev, Alexander; Leugering, Günter
2010
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
2010
Multidisciplinary free material optimization. Zbl 1429.74079
Haslinger, J.; Kočvara, M.; Leugering, G.; Stingl, M.
2010
On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036
Avdonin, S.; Leugering, G.; Mikhaylov, V.
2010
An augmented BV setting for feedback switching control. Zbl 1201.93047
Hante, Falk M.; Leugering, Günter; Seidman, Thomas I.
2010
Shape sensitivity analysis of a quasi-electrostatic piezoelectric system in multilayered media. Zbl 1203.49062
Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J.
2010
On the equilibrium of elastic bodies containing thin rigid inclusions. Zbl 1337.74003
Leugering, G.; Khludnev, A. M.
2010
PDE-constrained optimization for advanced materials. Zbl 1279.74031
Leugering, Günter; Stingl, Michael
2010
Modeling and analysis of modal switching in networked transport systems. Zbl 1167.93005
Hante, Falk M.; Leugering, Günter; Seidman, Thomas I.
2009
Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009
Gugat, M.; Leugering, G.
2009
Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176
Gugat, Martin; Keimer, Alexander; Leugering, Günter
2009
A sequential convex semidefinite programming algorithm with an application to multiple-load free material optimization. Zbl 1239.74010
Stingl, M.; Kočvara, M.; Leugering, G.
2009
On the application of the Monge-Kantorovich problem to image registration. Zbl 1175.94023
Museyko, O.; Stiglmayr, M.; Klamroth, K.; Leugering, G.
2009
Optimal boundary control of convention-reaction transport systems with binary control functions. Zbl 1237.49006
Hante, Falk M.; Leugering, Günter
2009
Free material optimization with fundamental eigenfrequency constraints. Zbl 1239.74011
Stingl, M.; Kočvara, M.; Leugering, G.
2009
Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs. Zbl 1173.35015
Kogut, Peter I.; Leugering, Günter
2009
Free material optimization for plates and shells. Zbl 1187.90217
Gaile, Stefanie; Leugering, Günter; Stingl, Michael
2009
A new non-linear semidefinite programming algorithm with an application to multidisciplinary free material optimization. Zbl 1425.74364
Stingl, M.; Kočvara; Leugering, G.
2009
Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Zbl 1182.49002
2009
$$L^\infty$$-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006
Gugat, Martin; Leugering, Gunter
2008
Unilateral contact problems for two perpendicular elastic structures. Zbl 1147.35047
Khludnev, Alexander; Leugering, Günter
2008
Topological sensitivity analysis for elliptic problems on graphs. Zbl 1188.49042
Leugering, Günter; Sokolowski, Jan
2008
Homogenization of Dirichlet optimal control problems with exact partial controllability constraints. Zbl 1173.35335
Kogut, P. I.; Leugering, G.
2008
Shape optimization for the Helmholtz equation. Zbl 1393.74149
Seifrt, František; Leugering, Günter; Rohan, Eduard
2008
Asymptotic analysis of state constrained semilinear optimal control problems. Zbl 1126.49020
Kogut, P. I.; Leugering, G.
2007
On the homogenization of optimal control problems on periodic graphs. Zbl 1403.49009
Kogut, P. I.; Leugering, G.
2007
...and 51 more Documents
all top 5

### Cited by 1,056 Authors

 71 Leugering, Günter 39 Gugat, Martin 34 Khludnev, Aleksandr Mikhaĭlovich 26 Kogut, Peter I. 21 Xu, Gen-Qi 18 Herty, Michael Matthias 16 Avdonin, Sergeĭ Anatol’evich 16 Lazarev, Nyurgun Petrovich 15 Kunisch, Karl 15 Schmidt, Martin 14 Lasiecka, Irena 13 Manzo, Rosanna 12 Hante, Falk M. 12 Keimer, Alexander 12 Li, Tatsien 12 Zuazua, Enrique 11 Han, Zhongjie 11 Kovtunenko, Viktor Anatolievich 11 Kupenko, Olha P. 11 Nicaise, Serge 11 Prieur, Christophe 11 Rudoy, Evgeny Mikhailovich 10 Sokołowski, Jan 9 Coron, Jean-Michel 9 Pflug, Lukas 9 Sadek, Ibrahim S. 9 Schewe, Lars 9 Stingl, Michael 8 Göttlich, Simone 8 Guesmia, Aissa 8 Mehra, Mani 8 Popova, Tatiana Semenovna 7 Gu, Qilong 7 Klar, Axel 6 D’Apice, Ciro 6 Goatin, Paola 6 Grobbelaar-Van Dalsen, Marié 6 Martin, Alexander 6 Novotny, Antonio André 6 Renardy, Michael 6 Seidman, Thomas I. 6 Semenova, Galina Mikhaĭlovna 6 Wang, Yue 6 Wollner, Winnifried 5 Adali, Sarp 5 Almeida Júnior, Dilberto da Silva 5 Ammari, Kais 5 Bastin, Georges 5 Bruch, John C. jun. 5 Clason, Christian 5 Garavello, Mauro 5 Hayat, Amaury 5 Krstić, Miroslav 5 Kulaev, Ruslan Chermenovich 5 Loreti, Paola 5 Ma, To Fu 5 Mehandiratta, Vaibhav 5 Naso, Maria Grazia 5 Piccoli, Benedetto 5 Schultz, Rüdiger 5 Sforza, Daniela 5 Shang, Peipei 5 Shcherbakov, Viktor Viktorovich 5 Shen, Chunyu 5 Sklyar, Grigory Mikhailovitch 5 Sloss, James M. 5 van der Merwe, Alna 5 van Rensburg, Nicolaas F. J. 5 Zhang, Yaxuan 4 Aamo, Ole Morten 4 Alvarez-Vázquez, Lino Jose 4 Bayen, Alexandre M. 4 Biros, George 4 Corli, Andrea 4 Eller, Matthias M. 4 Fernández Sare, Hugo D. 4 Guo, Yanni 4 Itou, Hiromichi 4 Ivanov, Sergei A. 4 Krabs, Werner 4 Kramar Fijavž, Marjeta 4 Kröner, Axel 4 Kropat, Erik 4 Mang, Andreas 4 Martinez, Aurea 4 Mehrmann, Volker 4 Mercier, Denis 4 Mikhaylov, Victor S. 4 Mitra, Debanjana 4 Mugnolo, Delio 4 Neitzel, Ira 4 Perla Menzala, Gustavo Alberto 4 Pfetsch, Marc E. 4 Rosier, Lionel 4 Sirvent, Mathias 4 Steinbach, Marc Christian 4 Tian, Lixin 4 Ulbrich, Stefan 4 Weber, Gerhard-Wilhelm 4 Webster, Justin T. ...and 956 more Authors
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### Cited in 213 Serials

 36 SIAM Journal on Control and Optimization 35 Journal of Mathematical Analysis and Applications 27 Mathematical Methods in the Applied Sciences 26 Journal of Differential Equations 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 21 Automatica 21 Networks and Heterogeneous Media 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Applied Mathematics and Optimization 19 Journal of Optimization Theory and Applications 19 Systems & Control Letters 19 Mathematical Control and Related Fields 15 Journal of Computational and Applied Mathematics 15 Optimization and Engineering 14 Computational Optimization and Applications 13 Applicable Analysis 12 Nonlinear Analysis. Real World Applications 10 Computer Methods in Applied Mechanics and Engineering 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Acta Applicandae Mathematicae 9 SIAM Journal on Scientific Computing 9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Computers & Mathematics with Applications 8 Journal of Scientific Computing 8 Journal of Evolution Equations 8 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Evolution Equations and Control Theory 7 International Journal of Control 7 Quarterly of Applied Mathematics 7 Chinese Annals of Mathematics. Series B 7 MCSS. Mathematics of Control, Signals, and Systems 7 Discrete and Continuous Dynamical Systems 7 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 7 Journal of Dynamical and Control Systems 6 Journal of Computational Physics 6 Zeitschrift für Analysis und ihre Anwendungen 5 Journal of Mathematical Physics 5 Applied Mathematics and Computation 5 Applied Numerical Mathematics 5 SIAM Journal on Mathematical Analysis 5 Mathematical Programming. Series A. Series B 5 European Journal of Control 5 Journal of Vibration and Control 5 Mathematics and Mechanics of Solids 5 Discrete and Continuous Dynamical Systems. Series B 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 European Journal of Operational Research 4 Vietnam Journal of Mathematics 4 Optimization Methods & Software 4 Mathematical Methods of Operations Research 4 Journal of Inequalities and Applications 4 Journal of Hyperbolic Differential Equations 4 Boundary Value Problems 3 Computers and Fluids 3 International Journal of Engineering Science 3 Journal of the Franklin Institute 3 Integral Equations and Operator Theory 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Computers in Simulation 3 Ricerche di Matematica 3 Optimization 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Communications in Partial Differential Equations 3 SIAM Journal on Optimization 3 Journal of Computer and Systems Sciences International 3 Journal of Mathematical Sciences (New York) 3 Journal of Inverse and Ill-Posed Problems 3 Journal of Applied Mechanics and Technical Physics 3 Differential Equations 3 Journal of Systems Science and Complexity 3 Structural and Multidisciplinary Optimization 3 Inverse Problems and Imaging 3 Nonlinear Analysis. Hybrid Systems 3 Mathematical Modelling of Natural Phenomena 3 SIAM Journal on Imaging Sciences 3 Numerical Algebra, Control and Optimization 3 Arabian Journal of Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Inverse Problems 2 Ukrainian Mathematical Journal 2 Wave Motion 2 Mathematics of Computation 2 Collectanea Mathematica 2 Journal of Functional Analysis 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Optimal Control Applications & Methods 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 Asymptotic Analysis 2 Journal of Global Optimization 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling ...and 113 more Serials
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### Cited in 40 Fields

 509 Partial differential equations (35-XX) 302 Systems theory; control (93-XX) 288 Mechanics of deformable solids (74-XX) 249 Calculus of variations and optimal control; optimization (49-XX) 118 Numerical analysis (65-XX) 109 Operations research, mathematical programming (90-XX) 86 Fluid mechanics (76-XX) 44 Operator theory (47-XX) 37 Ordinary differential equations (34-XX) 24 Integral equations (45-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Biology and other natural sciences (92-XX) 11 Functional analysis (46-XX) 10 Combinatorics (05-XX) 10 Mechanics of particles and systems (70-XX) 10 Optics, electromagnetic theory (78-XX) 9 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Probability theory and stochastic processes (60-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Quantum theory (81-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 (73-XX)

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