Edit Profile (opens in new tab) Schiela, Anton Compute Distance To: Compute Author ID: schiela.anton Published as: Schiela, Anton; Schiela, A. Documents Indexed: 45 Publications since 2003 1 Contribution as Editor Co-Authors: 35 Co-Authors with 38 Joint Publications 1,013 Co-Co-Authors all top 5 Co-Authors 8 single-authored 10 Weiser, Martin 5 Deuflhard, Peter 4 Grüne, Lars 4 Schaller, Manuel 3 Klapproth, Corinna 3 Stöcklein, Matthias 2 Herzog, Roland 2 Hinze, Michael 2 Lubkoll, Lars 2 Meyer, Christian 2 Ortiz, Julián M. 2 Sander, Oliver 2 Wollner, Winnifried 1 Benner, Peter 1 Bergmann, Ronny 1 Bornemann, Folkmar A. 1 Clason, Christian 1 Gänzler, Tobias 1 Götschel, Sebastian 1 Günther, Andreas 1 Haller-Dintelmann, Robert 1 Hintermüller, Michael 1 Jaap, Patrick 1 Kornhuber, Ralf 1 Müller, Georg 1 Ortiz López, Julián 1 Panizzi, Lucia 1 Pötzl, Bastian 1 Prüfert, Uwe 1 Rehberg, Joachim 1 Rösch, Arnd 1 Schulz, Volker H. 1 Sproll, Tobias 1 Ulbrich, Stefan 1 Wachsmuth, Daniel all top 5 Serials 6 SIAM Journal on Optimization 6 Computational Optimization and Applications 3 Numerische Mathematik 3 SIAM Journal on Control and Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Scientific Computing 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Computers & Mathematics with Applications 1 Inverse Problems 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Mathematical Programming. Series A. Series B 1 Optimization Methods & Software 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Numerical Mathematics: Theory, Methods and Applications 1 Mathematical Control and Related Fields all top 5 Fields 35 Calculus of variations and optimal control; optimization (49-XX) 17 Operations research, mathematical programming (90-XX) 14 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 7 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 355 times in 244 Documents Cited by ▼ Year ▼ Hölder continuity and optimal control for nonsmooth elliptic problems. Zbl 1179.49041Haller-Dintelmann, R.; Meyer, C.; Rehberg, J.; Schiela, A. 41 2009 Barrier methods for optimal control problems with state constraints. Zbl 1201.90201Schiela, Anton 27 2009 Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints. Zbl 1266.65112Schiela, Anton; Wachsmuth, Daniel 22 2013 The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried 21 2014 Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044Grüne, Lars; Schaller, Manuel; Schiela, Anton 21 2020 Operator preconditioning for a class of inequality constrained optimal control problems. Zbl 1291.65092Schiela, Anton; Ulbrich, Stefan 18 2014 Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment. Zbl 1238.49046Hinze, Michael; Schiela, Anton 17 2011 Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051Weiser, Martin; Schiela, Anton; Deuflhard, Peter 15 2005 Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control. Zbl 1230.35041Meyer, Christian; Panizzi, Lucia; Schiela, Anton 14 2011 A control reduced primal interior point method for a class of control constrained optimal control problems. Zbl 1190.90278Weiser, Martin; Gänzler, Tobias; Schiela, Anton 14 2008 Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. Zbl 1420.49025Grüne, Lars; Schaller, Manuel; Schiela, Anton 13 2019 Barrier methods for optimal control problems with convex nonlinear gradient state constraints. Zbl 1279.90194Schiela, A.; Wollner, W. 13 2011 An interior point algorithm with inexact step computation in function space for state constrained optimal control. Zbl 1243.65072Schiela, Anton; Günther, Andreas 12 2011 An interior point method in function space for the efficient solution of state constrained optimal control problems. Zbl 1266.90195Schiela, Anton 12 2013 Function space interior point methods for PDE constrained optimization. Zbl 1354.49052Weiser, Martin; Schiela, Anton 11 2004 A simplified approach to semismooth Newton methods in function space. Zbl 1169.49032Schiela, Anton 8 2008 Superlinear convergence of the control reduced interior point method for PDE constrained optimization. Zbl 1181.90287Schiela, Anton; Weiser, Martin 8 2008 An optimal control problem in polyconvex hyperelasticity. Zbl 1298.49065Lubkoll, Lars; Schiela, Anton; Weiser, Martin 7 2014 Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 7 2010 A perturbation result for dynamical contact problems. Zbl 1201.74153Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton 6 2009 Kaskade 7 – a flexible finite element toolbox. Zbl 07288723Götschel, Sebastian; Schiela, Anton; Weiser, Martin 5 2021 On the control of time discretized dynamic contact problems. Zbl 1383.49002Müller, Georg; Schiela, Anton 5 2017 An affine covariant composite step method for optimization with PDEs as equality constraints. Zbl 1380.49033Lubkoll, Lars; Schiela, Anton; Weiser, Martin 5 2017 An SQP method for equality constrained optimization on Hilbert manifolds. Zbl 1477.90122Schiela, Anton; Ortiz, Julian 4 2021 State constrained optimal control problems with states of low regularity. Zbl 1203.49032Schiela, Anton 4 2009 Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 3 2011 A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control. Zbl 1281.49002Schiela, Anton 3 2013 Optimal control of elliptic equations with positive measures. Zbl 1365.49005Clason, Christian; Schiela, Anton 3 2017 Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. Zbl 1467.49037Grüne, Lars; Schaller, Manuel; Schiela, Anton 3 2021 The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints. Zbl 1166.49021Prüfert, Uwe; Schiela, Anton 2 2009 Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103Deuflhard, Peter; Schiela, Anton; Weiser, Martin 2 2012 Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum. Zbl 1308.74085Sander, Oliver; Schiela, Anton 2 2014 An extended mathematical framework for Barrier methods in function space. Zbl 1181.49030Schiela, Anton 2 2009 Sparsing in real time simulation. Zbl 1032.65089Schiela, Anton; Bornemann, Folkmar 2 2003 A flexible framework for cubic regularization algorithms for nonconvex optimization in function space. Zbl 1418.49035Schiela, Anton 1 2019 Efficient model predictive control for parabolic PDEs with goal oriented error estimation. Zbl 1492.35391Grüne, Lars; Schaller, Manuel; Schiela, Anton 1 2022 Second order semi-smooth proximal Newton methods in Hilbert spaces. Zbl 1493.90149Pötzl, Bastian; Schiela, Anton; Jaap, Patrick 1 2022 Efficient model predictive control for parabolic PDEs with goal oriented error estimation. Zbl 1492.35391Grüne, Lars; Schaller, Manuel; Schiela, Anton 1 2022 Second order semi-smooth proximal Newton methods in Hilbert spaces. Zbl 1493.90149Pötzl, Bastian; Schiela, Anton; Jaap, Patrick 1 2022 Kaskade 7 – a flexible finite element toolbox. Zbl 07288723Götschel, Sebastian; Schiela, Anton; Weiser, Martin 5 2021 An SQP method for equality constrained optimization on Hilbert manifolds. Zbl 1477.90122Schiela, Anton; Ortiz, Julian 4 2021 Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. Zbl 1467.49037Grüne, Lars; Schaller, Manuel; Schiela, Anton 3 2021 Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044Grüne, Lars; Schaller, Manuel; Schiela, Anton 21 2020 Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. Zbl 1420.49025Grüne, Lars; Schaller, Manuel; Schiela, Anton 13 2019 A flexible framework for cubic regularization algorithms for nonconvex optimization in function space. Zbl 1418.49035Schiela, Anton 1 2019 On the control of time discretized dynamic contact problems. Zbl 1383.49002Müller, Georg; Schiela, Anton 5 2017 An affine covariant composite step method for optimization with PDEs as equality constraints. Zbl 1380.49033Lubkoll, Lars; Schiela, Anton; Weiser, Martin 5 2017 Optimal control of elliptic equations with positive measures. Zbl 1365.49005Clason, Christian; Schiela, Anton 3 2017 The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried 21 2014 Operator preconditioning for a class of inequality constrained optimal control problems. Zbl 1291.65092Schiela, Anton; Ulbrich, Stefan 18 2014 An optimal control problem in polyconvex hyperelasticity. Zbl 1298.49065Lubkoll, Lars; Schiela, Anton; Weiser, Martin 7 2014 Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum. Zbl 1308.74085Sander, Oliver; Schiela, Anton 2 2014 Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints. Zbl 1266.65112Schiela, Anton; Wachsmuth, Daniel 22 2013 An interior point method in function space for the efficient solution of state constrained optimal control problems. Zbl 1266.90195Schiela, Anton 12 2013 A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control. Zbl 1281.49002Schiela, Anton 3 2013 Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103Deuflhard, Peter; Schiela, Anton; Weiser, Martin 2 2012 Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment. Zbl 1238.49046Hinze, Michael; Schiela, Anton 17 2011 Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control. Zbl 1230.35041Meyer, Christian; Panizzi, Lucia; Schiela, Anton 14 2011 Barrier methods for optimal control problems with convex nonlinear gradient state constraints. Zbl 1279.90194Schiela, A.; Wollner, W. 13 2011 An interior point algorithm with inexact step computation in function space for state constrained optimal control. Zbl 1243.65072Schiela, Anton; Günther, Andreas 12 2011 Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 3 2011 Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 7 2010 Hölder continuity and optimal control for nonsmooth elliptic problems. Zbl 1179.49041Haller-Dintelmann, R.; Meyer, C.; Rehberg, J.; Schiela, A. 41 2009 Barrier methods for optimal control problems with state constraints. Zbl 1201.90201Schiela, Anton 27 2009 A perturbation result for dynamical contact problems. Zbl 1201.74153Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton 6 2009 State constrained optimal control problems with states of low regularity. Zbl 1203.49032Schiela, Anton 4 2009 The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints. Zbl 1166.49021Prüfert, Uwe; Schiela, Anton 2 2009 An extended mathematical framework for Barrier methods in function space. Zbl 1181.49030Schiela, Anton 2 2009 A control reduced primal interior point method for a class of control constrained optimal control problems. Zbl 1190.90278Weiser, Martin; Gänzler, Tobias; Schiela, Anton 14 2008 A simplified approach to semismooth Newton methods in function space. Zbl 1169.49032Schiela, Anton 8 2008 Superlinear convergence of the control reduced interior point method for PDE constrained optimization. Zbl 1181.90287Schiela, Anton; Weiser, Martin 8 2008 Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051Weiser, Martin; Schiela, Anton; Deuflhard, Peter 15 2005 Function space interior point methods for PDE constrained optimization. Zbl 1354.49052Weiser, Martin; Schiela, Anton 11 2004 Sparsing in real time simulation. Zbl 1032.65089Schiela, Anton; Bornemann, Folkmar 2 2003 all cited Publications top 5 cited Publications all top 5 Cited by 338 Authors 23 Schiela, Anton 12 Rehberg, Joachim 12 Wachsmuth, Gerd 11 Hintermüller, Michael 10 Meyer, Christian 9 Herzog, Roland 9 Hinze, Michael 8 Weiser, Martin 8 Wollner, Winnifried 7 Neitzel, Ira 7 Schaller, Manuel 7 Tröltzsch, Fredi 7 Wachsmuth, Daniel 6 Clason, Christian 6 Kunisch, Karl 6 Ulbrich, Michael 6 Zuazua, Enrique 5 Casas, Eduardo 5 Grüne, Lars 5 Lapin, Aleksandr Vasil’evich 5 Sama, Miguel 5 Surowiec, Thomas 5 Vexler, Boris 4 Faulwasser, Timm 4 Jadamba, Baasansuren 4 Keil, Tobias 4 Klapproth, Corinna 4 Park, Jung-Tae 4 Sander, Oliver 4 Ulbrich, Stefan 4 Worthmann, Karl 3 Byun, Sun-Sig 3 Christof, Constantin 3 Deuflhard, Peter 3 Disser, Karoline 3 Günther, Andreas 3 Haller-Dintelmann, Robert 3 Kahle, Christian 3 Kanzow, Christian 3 Karl, Veronika 3 Khan, Akhtar Ali 3 Kruse, Florian 3 Meinlschmidt, Hannes 3 Pearson, John W. 3 Pedregal, Pablo 3 Prüfert, Uwe 3 Rademacher, Andreas 3 Rauls, Anne-Therese 3 Rösch, Arnd 3 Stöcklein, Matthias 3 Susu, Livia Mihaela 3 Tber, Moulay Hicham 3 ter Elst, Antonius Frederik Maria 2 Badea, Lori 2 Bui-Thanh, Tan 2 De los Reyes, Juan Carlos 2 Deckelnick, Klaus 2 Gerdts, Matthias 2 Ghattas, Omar N. 2 Glowinski, Roland 2 Grundel, Sara M. 2 Gugat, Martin 2 Hoppe, Fabian 2 Kornhuber, Ralf 2 Krause, Rolf H. 2 Krumbiegel, Klaus 2 Liu, Jun 2 López, Ruben 2 Mannel, Florian 2 Martínez-Frutos, Jesús 2 Maschke, Bernhard M. 2 Mehlitz, Patrick 2 Ortigosa, Rogelio 2 Periago, Francisco 2 Pfeiffer, Laurent 2 Philipp, Friedrich 2 Rund, Armin 2 Schulz, Volker H. 2 Shin, Pilsoo 2 Siebenborn, Martin 2 Silva, Francisco J. 2 Song, YongCun 2 Steck, Daniel Daniel 2 Stoll, Martin 2 Sturm, Kevin 2 Tarzia, Domingo Alberto 2 Welker, Kathrin 2 Wick, Thomas 2 Yuan, Xiaoming 2 Zalyalov, Dinar Gumarovich 1 Adam, Lukáš 1 Ahmad Ali, Ahmad 1 Albuquerque, Yuri Flores 1 Alger, Nick 1 Alla, Alessandro 1 Alphonse, Amal 1 Alvarez, Felipe 1 Alzalg, Baha M. 1 Amat, Sergio P. 1 Amirfakhrian, Majid ...and 238 more Authors all top 5 Cited in 71 Serials 24 SIAM Journal on Control and Optimization 24 Computational Optimization and Applications 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 SIAM Journal on Optimization 10 SIAM Journal on Scientific Computing 9 Numerische Mathematik 8 Journal of Mathematical Analysis and Applications 6 Journal of Computational Physics 5 Journal of Differential Equations 5 SIAM Journal on Numerical Analysis 5 Mathematical Programming. Series A. Series B 4 Computers & Mathematics with Applications 4 Journal of Optimization Theory and Applications 4 Optimization 4 Optimization Methods & Software 4 Optimization and Engineering 3 Inverse Problems 3 Journal of Computational and Applied Mathematics 3 Numerical Functional Analysis and Optimization 3 Systems & Control Letters 3 Zeitschrift für Analysis und ihre Anwendungen 3 Lobachevskii Journal of Mathematics 3 Acta Numerica 3 Mathematical Control and Related Fields 2 Computer Methods in Applied Mechanics and Engineering 2 Applied Mathematics and Optimization 2 International Journal for Numerical Methods in Engineering 2 MCSS. Mathematics of Control, Signals, and Systems 2 SIAM Journal on Applied Mathematics 2 Russian Mathematics 2 Journal of Convex Analysis 2 European Journal of Control 2 Multibody System Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 GAMM-Mitteilungen 2 Set-Valued and Variational Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Automatica 1 Indiana University Mathematics Journal 1 Mathematika 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Computing and Visualization in Science 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Oberwolfach Reports 1 Journal of Industrial and Management Optimization 1 Optimization Letters 1 SIAM Journal on Imaging Sciences 1 Advances in Applied Mathematics and Mechanics 1 Evolution Equations and Control Theory 1 Annals of Applied Mathematics 1 Results in Applied Mathematics all top 5 Cited in 28 Fields 164 Calculus of variations and optimal control; optimization (49-XX) 100 Numerical analysis (65-XX) 90 Partial differential equations (35-XX) 58 Operations research, mathematical programming (90-XX) 31 Mechanics of deformable solids (74-XX) 25 Systems theory; control (93-XX) 17 Operator theory (47-XX) 15 Fluid mechanics (76-XX) 12 Functional analysis (46-XX) 10 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year