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Jan Sokolowski
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Journal Articles
- 2020
- [j27]Michal Nowak, Jan Sokolowski, Antoni Zochowski:
Biomimetic Approach to Compliance Optimization and Multiple Load Cases. J. Optim. Theory Appl. 184(1): 210-225 (2020) - 2019
- [j26]Antonio André Novotny, Jan Sokolowski, Antoni Zochowski:
Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains. J. Optim. Theory Appl. 180(2): 341-373 (2019) - [j25]Antonio André Novotny, Jan Sokolowski, Antoni Zochowski:
Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications. J. Optim. Theory Appl. 180(3): 683-710 (2019) - [j24]Antonio André Novotny, Jan Sokolowski, Antoni Zochowski:
Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications. J. Optim. Theory Appl. 181(1): 1-22 (2019) - [j23]Pavel I. Plotnikov, Jan Sokolowski:
Boundary Control of the Motion of a Heavy Piston in Viscous Gas. SIAM J. Control. Optim. 57(5): 3166-3192 (2019) - 2017
- [j22]Cinthia Gomes Lopes, Renatha Batista dos Santos, Antonio André Novotny, Jan Sokolowski:
Asymptotic analysis of variational inequalities with applications to optimum design in elasticity. Asymptot. Anal. 102(3-4): 227-242 (2017) - 2016
- [j21]R. Amigo, Sebastian M. Giusti, Antonio André Novotny, Emílio Carlos Nelli Silva, Jan Sokolowski:
Optimum Design of Flextensional Piezoelectric Actuators into Two Spatial Dimensions. SIAM J. Control. Optim. 54(2): 760-789 (2016) - 2015
- [j20]Sebastian M. Giusti, Jan Sokolowski, Jan Stebel:
On Topological Derivatives for Contact Problems in Elasticity. J. Optim. Theory Appl. 165(1): 279-294 (2015) - 2012
- [j19]Adam Kowalewski, Irena Lasiecka, Jan Sokolowski:
Sensitivity analysis of hyperbolic optimal control problems. Comput. Optim. Appl. 52(1): 147-179 (2012) - 2011
- [j18]Charlie Elliott, Michael Hintermüller, Günter Leugering, Jan Sokolowski:
Special issue on advances in shape and topology optimization: theory, numerics and new applications areas. Optim. Methods Softw. 26(4-5): 511-512 (2011) - 2010
- [j17]Serguei A. Nazarov, Jan Sokolowski, Maria Specovius-Neugebauer:
Polarization matrices in anisotropic heterogeneous elasticity. Asymptot. Anal. 68(4): 189-221 (2010) - [j16]Eduardo Casas, Jan Sokolowski:
Approximation of Boundary Control Problems on Curved Domains. SIAM J. Control. Optim. 48(6): 3746-3780 (2010) - [j15]Giuseppe Cardone, Serguei A. Nazarov, Jan Sokolowski:
Asymptotic Analysis, Polarization Matrices, and Topological Derivatives for Piezoelectric Materials with Small Voids. SIAM J. Control. Optim. 48(6): 3925-3961 (2010) - [j14]Pavel I. Plotnikov, Jan Sokolowski:
Shape Derivative of Drag Functional. SIAM J. Control. Optim. 48(7): 4680-4706 (2010) - 2009
- [j13]Mohamed Iguernane, Serguei A. Nazarov, Jean-Rodolphe Roche, Jan Sokolowski, Katarzyna Szulc:
Topological Derivatives for Semilinear Elliptic Equations. Int. J. Appl. Math. Comput. Sci. 19(2): 191-205 (2009) - [j12]Giuseppe Cardone, Serguei A. Nazarov, Jan Sokolowski:
Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary. Asymptot. Anal. 62(1-2): 41-88 (2009) - 2008
- [j11]Serguei A. Nazarov, Jan Sokolowski:
Spectral problems in the shape optimisation. Singular boundary perturbations. Asymptot. Anal. 56(3-4): 159-204 (2008) - [j10]Piotr Fulmanski, Antoine Laurain, Jean-François Scheid, Jan Sokolowski:
Level set method with topological derivatives in shape optimization. Int. J. Comput. Math. 85(10): 1491-1514 (2008) - [j9]Pavel I. Plotnikov, Evgenya V. Ruban, Jan Sokolowski:
Inhomogeneous Boundary Value Problems for Compressible Navier-Stokes Equations: Well-Posedness and Sensitivity Analysis. SIAM J. Math. Anal. 40(3): 1152-1200 (2008) - 2007
- [j8]Piotr Fulmanski, Antoine Laurain, Jean-François Scheid, Jan Sokolowski:
A Level Set Method in Shape and Topology Optimization for Variational Inequalities. Int. J. Appl. Math. Comput. Sci. 17(3): 413-430 (2007) - 2006
- [j7]Pavel I. Plotnikov, Jan Sokolowski:
Domain Dependence of Solutions to Compressible Navier--Stokes Equations. SIAM J. Control. Optim. 45(4): 1165-1197 (2006) - 2005
- [j6]Jan Sokolowski, Antoni Zochowski:
Modelling of topological derivatives for contact problems. Numerische Mathematik 102(1): 145-179 (2005) - [j5]Zakaria Belhachmi, Jean-Marc Sac-Épée, Jan Sokolowski:
Mixed Finite Element Methods for Smooth Domain Formulation of Crack Problems. SIAM J. Numer. Anal. 43(3): 1295-1320 (2005) - 2003
- [j4]Dietmar Hömberg, Jan Sokolowski:
Optimal Shape Design of Inductor Coils for Surface Hardening. SIAM J. Control. Optim. 42(3): 1087-1117 (2003) - [j3]Jan Sokolowski, Antoni Zochowski:
Optimality Conditions for Simultaneous Topology and Shape Optimization. SIAM J. Control. Optim. 42(4): 1198-1221 (2003) - 2002
- [j2]Lidia Jackowska-Strumillo, Jan Sokolowski, Antoni Zochowski, Antoine Henrot:
On Numerical Solution of Shape Inverse Problems. Comput. Optim. Appl. 23(2): 231-255 (2002) - 1993
- [j1]Jan Sokolowski:
Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions. Kybernetika 29(3): 284-290 (1993)
Conference and Workshop Papers
- 2024
- [c19]Jan Sokolowski, Yixin Tan:
Optimal control and optimum design of elasticity system: Topological derivative method for control problem. MMAR 2024: 11-16 - [c18]Nikolai P. Osmolovskii, Meizhi Qian, Jan Sokolowski:
Control and optimum design for networks with nonlinear state equations. MMAR 2024: 17-22 - 2023
- [c17]Martin Gugat, Meizhi Qian, Jan Sokolowski:
Topological derivative method for control of wave equation on networks. MMAR 2023: 320-325 - 2017
- [c16]Adam Kowalewski, Zbigniew Emirsajlow, Jan Sokolowski, Anna Krakowiak:
Sensitivity Analysis of Optimal Control Parabolic Systems with Retardations. KKA 2017: 98-107 - 2016
- [c15]Adam Kowalewski, Zbigniew Emirsajlow, Jan Sokolowski, Anna Krakowiak:
Sensitivity of optimal controls for time delay parabolic systems. MMAR 2016: 511-515 - 2015
- [c14]Jan Sokolowski, Antoni Zochowski:
Steklov-Poincaré operator for Helmholtz equation. MMAR 2015: 728-732 - 2013
- [c13]Zbigniew Emirsajlow, Anna Krakowiak, Adam Kowalewski, Jan Sokolowski:
Sensitivity analysis of time delay parabolic-hyperbolic optimal control problems with boundary conditions involving time delays. MMAR 2013: 514-519 - [c12]Günter Leugering, Jan Sokolowski, Antoni Zochowski:
Shape-topological differentiability of energy functionals in domains with cracks. MMAR 2013: 534-525 - 2012
- [c11]Zbigniew Emirsajlow, Anna Krakowiak, Adam Kowalewski, Jan Sokolowski:
Sensitivity analysis of time delay parabolic-hyperbolic optimal control problems. MMAR 2012: 142-147 - [c10]Jan Sokolowski, Antoni Zochowski:
Shape sensitivity and asymptotic analysis for inclusions. MMAR 2012: 455 - 2011
- [c9]Jan Sokolowski, Jan Stebel:
Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids. System Modelling and Optimization 2011: 427-436 - [c8]Zbigniew Emirsajlow, Anna Krakowiak, Adam Kowalewski, Jan Sokolowski:
Sensitivity analysis of parabolic-hyperbolic optimal control problems. MMAR 2011: 34-38 - [c7]Pavel I. Plotnikov, Jan Sokolowski:
Shape sensitivity analysis for the work functional. MMAR 2011: 79 - [c6]Jan Sokolowski, Antoni Zochowski:
Topological derivatives for contact problems in ℝ3. MMAR 2011: 210-213 - 2007
- [c5]Pavel I. Plotnikov, Evgenya V. Ruban, Jan Sokolowski:
Shape Sensitivity Analysis for Compressible Navier-Stokes Equations. System Modelling and Optimization 2007: 430-447 - [c4]Jan Sokolowski, Antoni Zochowski:
Topological Derivatives in Plane Elasticity. System Modelling and Optimization 2007: 459-475 - 2005
- [c3]Lidia Jackowska-Strumillo, Jan Sokolowski, Antoni Zochowski:
Topological Derivative and Training Neural Networks for Inverse Problems. ICANN (2) 2005: 391-396 - 2003
- [c2]Serguei A. Nazarov, Jan Sokolowski:
Modeling of Topology Variations in Elasticity. System Modelling and Optimization 2003: 147-158 - 1975
- [c1]Jan Sokolowski:
On Optimal Parametric Control of Parabolic System. Optimization Techniques 1975: 623-633
Reference Works
- 2009
- [r1]Jan Sokolowski, Antoni Zochowski:
Topological Derivative in Shape Optimization. Encyclopedia of Optimization 2009: 3908-3918
Informal and Other Publications
- 2020
- [i1]Jan Sokolowski, Volker Schulz, Udo Schröder, Hans-Peter Beise:
A Hybrid Objective Function for Robustness of Artificial Neural Networks - Estimation of Parameters in a Mechanical System. CoRR abs/2004.07692 (2020)
Coauthor Index
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