Prof. Dr. Michael Stingl
Prof. Dr. Michael Stingl
Department Mathematik
Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)
Cauerstraße 11
91058 Erlangen
- Telefon: +49 9131 85-67141
- Mobil: 0173-7409686
- Faxnummer: +49 9131 85-20785
- E-Mail: michael.stingl@fau.de
- Webseite: https://www.math.fau.de/kontinuierliche-optimierung/michael-stingl/
Lehrveranstaltungen
Vorlesung (VORL)
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Introduction to Material and Shape Optimization
Übungstermin nach Vereinbarung
Aus gegebem Anlass wird die Lehrveranstaltung digital durchgeführt. Für weitere Hinweise und Erläuterungen wird auf LINK (StudOn) verwiesen.
Arbeitsgemeinschaft (AG)
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AG Optimierung und Anwendungen
Intern im Lehrstuhl Angewandte Mathematik 2
Publikationen
2023
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Multi-material design optimization of optical properties of particulate products by discrete dipole approximation and sequential global programming
In: Structural and Multidisciplinary Optimization 66 (2023), Art.Nr.: 5
ISSN: 1615-147X
DOI: 10.1007/s00158-022-03376-w
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2022
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Adaptive bundle methods for nonlinear robust optimization
In: Informs Journal on Computing 34 (2022), S. 2106 - 2124
ISSN: 1091-9856
DOI: 10.1287/ijoc.2021.1122
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(Techreport) - , , , , , , , , , , :
Determination of the yield, mass and structure of silver patches on colloidal silica using multiwavelength analytical ultracentrifugation
In: Journal of Colloid and Interface Science 607 (2022), S. 698-710
ISSN: 0021-9797
DOI: 10.1016/j.jcis.2021.08.161
URL: https://www.researchgate.net/publication/354270035_Determination_of_the_yield_mass_and_structure_of_silver_patches_on_colloidal_silica_using_multiwavelength_analytical_ultracentrifugation
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Robust design optimization for enhancing delamination resistance of composites
In: International Journal for Numerical Methods in Engineering (2022)
ISSN: 0029-5981
DOI: 10.1002/nme.7168
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2021
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Material optimization to enhance delamination resistance of composite structures using viscous regularization
In: Computer Methods in Applied Mechanics and Engineering (2021)
ISSN: 0045-7825
DOI: 10.1016/j.cma.2021.113881
URL: https://www.sciencedirect.com/science/article/pii/S0045782521002188
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Material optimization for controlling interfacial damage in composite structures
In: Proceedings in Applied Mathematics and Mechanics 20 (2021)
ISSN: 1617-7061
DOI: 10.1002/pamm.202000344
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Two-Scale Optimization and Generation of Anisotropic Cellular Designs in the Context of Additive Manufacturing
In: Computer-Aided Design 140 (2021), Art.Nr.: 103073
ISSN: 0010-4485
DOI: 10.1016/j.cad.2021.103073
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2020
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Joint model of probabilistic/robust (probust) constraints with application to gas network optimization
In: Vietnam Journal of Mathematics (2020)
ISSN: 0866-7179
DOI: 10.1007/s10013-020-00434-y
URL: https://link.springer.com/article/10.1007/s10013-020-00434-y
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(Techreport) - , :
Topology optimization with worst-case handling of material uncertainties
In: Structural and Multidisciplinary Optimization 61 (2020), S. 1377-1397
ISSN: 1615-147X
DOI: 10.1007/s00158-019-02411-7
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CSG: A new stochastic gradient method for the efficient solution of structural optimization problems with infinitely many states
In: Structural and Multidisciplinary Optimization (2020)
ISSN: 1615-147X
DOI: 10.1007/s00158-020-02571-x
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eMoM: Exact method of moments—Nucleation and size dependent growth of nanoparticles
In: Computers & Chemical Engineering 136 (2020), Art.Nr.: 106775
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2020.106775
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On the efficient optimization of optical properties of particulate monolayers by a hybrid finite element approach
In: Structural and Multidisciplinary Optimization (2020)
ISSN: 1615-147X
DOI: 10.1007/s00158-020-02754-6
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GRADIENT-BASED TWO-SCALE TOPOLOGY OPTIMIZATION WITH B-SPLINES ON SPARSE GRIDS
In: SIAM Journal on Scientific Computing 42 (2020), S. B1092-B1114
ISSN: 1064-8275
DOI: 10.1137/19M128822X
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2019
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Decomposable robust two-stage optimization: An application to gas network operations under uncertainty
In: Networks (2019)
ISSN: 0028-3045
DOI: 10.1002/net.21871
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/net.21871
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Optimization of the porous material described by the Biot model
In: International Journal of Solids and Structures 156-157 (2019), S. 216-233
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2018.08.016
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Towards a lifecycle oriented design of infrastructure by mathematical optimization
In: Optimization and Engineering 20 (2019), S. 215-249
ISSN: 1389-4420
DOI: 10.1007/s11081-018-9406-5
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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), S. 2409-2431
ISSN: 0764-583X
DOI: 10.1051/m2an/2018065
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Influence of spatial camera resolution in highspeed videoendoscopy on laryngeal parameters
In: PLoS ONE 14 (2019), Art.Nr.: e0215168
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0215168
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Topology optimization of unsaturated flows in multi-material porous media: Application to a simple diaper model
In: Communications in Nonlinear Science and Numerical Simulation 78 (2019), Art.Nr.: 104871
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2019.104871
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2018
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Deciding Robust Feasibility and Infeasibility Using a Set Containment Approach: An Application to Stationary Passive Gas Network Operations
In: SIAM Journal on Optimization 28 (2018), S. 2489-2517
ISSN: 1052-6234
DOI: 10.1137/17M112470X
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Hierarchical Design of Metal Micro/Nanohole Array Films Optimizes Transparency and Haze Factor
In: Advanced Functional Materials (2018)
ISSN: 1616-301X
DOI: 10.1002/adfm.201706965
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Topology Optimization in Additive Manufacturing Considering the Grain Structure of Inconel 718 using Numerical Homogenization
iCAT 2018 (Maribor, 10-10-2018 - 11-10-2018)
In: Proceedings of 7th International Conference on Additive Technologies 2018
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Anisometric engineering of particle interfaces: Multidimensional characterization and gram‐scale production
ProcessNet‐Jahrestagung und 33. DECHEMA‐Jahrestagung der Biotechnologen 2018 (Aachen, 11-09-2018 - 13-09-2018)
In: Chemie Ingenieur Technik (Special Issue: ProcessNet‐Jahrestagung und 33. DECHEMA‐Jahrestagung der Biotechnologen 2018), Weinheim: 2018
DOI: 10.1002/cite.201855147
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/cite.201855147?af=R
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Multi-Material Optimization of Nanoparticles by Discrete Dipole Approximation and Sequential Global Programming
In: Thomas Wriedt, Yuri Eremin Eds. (Hrsg.): Proceedings of the Bremen Workshopon Light Scattering: 2018, 2018
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Dependencies and Ill-designed Parameters Within High-speed Videoendoscopy and Acoustic Signal Analysis
In: Journal of Voice (2018)
ISSN: 0892-1997
DOI: 10.1016/j.jvoice.2018.04.011
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Particulate Coatings with Optimized Haze Properties
In: Advanced Functional Materials 5 (2018), Art.Nr.: 1806025
ISSN: 1616-301X
DOI: 10.1002/adfm.201806025
URL: https://onlinelibrary.wiley.com/doi/full/10.1002/adfm.201806025
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Material optimization in transverse electromagnetic scattering applications
In: SIAM Journal on Scientific Computing 40 (2018), S. B85-B109
ISSN: 1064-8275
DOI: 10.1137/17M1127569
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A combined parametric shape optimization and ersatz material approach
In: Structural and Multidisciplinary Optimization 57 (2018), S. 1297-1315
ISSN: 1615-147X
DOI: 10.1007/s00158-017-1812-3
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Determination of the two-dimensional distributions of gold nanorods by multiwavelength analytical ultracentrifugation
In: Nature Communications 9 (2018), Art.Nr.: 4898
ISSN: 2041-1723
DOI: 10.1038/s41467-018-07366-9
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2017
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Heterogeneous nucleation and surface conformal growth of silver nanocoatings on colloidal silica in a continuous flow static T-mixer
In: Chemical Engineering Journal 308 (2017), S. 89-100
ISSN: 1385-8947
DOI: 10.1016/j.cej.2016.09.048
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Model-Based Optimization of Short Stroke Control in Roughing Mills
In: Steel Research International 88 (2017), Art.Nr.: 1700220
ISSN: 1611-3683
DOI: 10.1002/srin.201700220
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Model-based control of dynamic frictional contact problems using the example of hot rolling
In: Computer Methods in Applied Mechanics and Engineering 319 (2017), S. 442-471
ISSN: 0045-7825
DOI: 10.1016/j.cma.2017.03.006
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Design and Additive Manufacturing of 3D Phononic Band Gap Structures Based on Gradient Based Optimization
In: Materials 10 (2017)
ISSN: 1996-1944
DOI: 10.3390/ma10101125
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2016
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Robust optimal component design unter consideration of local material defects
In: Proceedings of the 6th international conference on additive technologies (iCAT 2016), Ljubljana: Interesansa - zavod, 2016
ISBN: 978-961-285-537-6
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Simultaneous parametric material and topology optimization with constrained material grading
In: Structural and Multidisciplinary Optimization (2016), S. 1-14
ISSN: 1615-147X
DOI: 10.1007/s00158-016-1457-7
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Geometry: The leading parameter for the Poisson's ratio of bending-dominated cellular solids
In: International Journal of Solids and Structures 100 (2016), S. 1-10
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2016.06.027
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2015
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On the efficient solution of a patch problem with multiple elliptic inclusions
In: Optimization and Engineering 16 (2015), S. 225-246
ISSN: 1389-4420
DOI: 10.1007/s11081-014-9262-x
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Shape Optimization in Electromagnetic Applications
In: Aldo Pratelli, Günter Leugering (Hrsg.): New Trends in Shape Optimization, Springer, 2015, S. 251-269 (International Series of Numerical Mathematics, Bd.166)
DOI: 10.1007/978-3-319-17563-8_11
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2014
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Simultaneous Material and Topology Optimization Based on Topological Derivatives
In: Christian Pötzsche, Clemens Heuberger, Barbara Kaltenbacher, Franz Rendl (Hrsg.): System Modeling and Optimization, Berlin Heidelberg: Springer, 2014, S. 118-127 (IFIP Advances in Information and Communication Technology, Bd.443)
DOI: 10.1007/978-3-662-45504-3_11
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Simultaneous optimization of topology and build orientation in layered manufacturing
In: 5th International Conference on Additive Technologies (iCAT), 2014
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2013
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A cohesive crack propagation model: Mathematical theory and numerical solution
In: Communications on Pure and Applied Analysis 12 (2013), S. 1705-1729
ISSN: 1534-0392
DOI: 10.3934/cpaa.2013.12.1705
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Material and shape optimization for multi-layered vocal fold models using transient loadings
In: Journal of the Acoustical Society of America 134 (2013), S. 1261-1270
ISSN: 0001-4966
DOI: 10.1121/1.4812253
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Topology optimization of a cantilevered piezoelectric energy harvester using stress norm constraints
In: Structural and Multidisciplinary Optimization 48 (2013), S. 173-185
ISSN: 1615-147X
DOI: 10.1007/s00158-013-0889-6
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2012
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Numerische Simulation pulver- und strahlbasierter additiver Fertigungsprozesse
Industriekolloqium des Sonderforschungsbereichs 814 – Additive Fertigung
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Solving stress constrained problems in topology and material optimization
In: Structural and Multidisciplinary Optimization 46 (2012), S. 1-15
ISSN: 1615-147X
DOI: 10.1007/s00158-012-0762-z
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The Eshelby Theorem and Application to the optimization of an Elastic Patch
In: SIAM Journal on Applied Mathematics 72 (2012), S. 512-534
ISSN: 0036-1399
DOI: 10.1137/110823110
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Optimal Design of Brittle Composite Materials: a Nonsmooth Approach
In: Journal of Optimization Theory and Applications 155 (2012), S. 962-985
ISSN: 0022-3239
DOI: 10.1007/s10957-012-0094-6
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Efficient two-scale optimization of manufacturable graded structures
In: SIAM Journal on Scientific Computing 34 (2012), S. B711-B733
ISSN: 1064-8275
DOI: 10.1137/110850335
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Slope constrained material design
In: Structural and Multidisciplinary Optimization 46 (2012), S. 813-827
ISSN: 1615-147X
DOI: 10.1007/s00158-012-0795-3
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Mechanical characterisation of a periodic auxetic structure produced by SEBM
In: physica status solidi (b) 249 (2012), S. 1347-1352
ISSN: 0370-1972
DOI: 10.1002/pssb.201084211
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Parametric Shape Optimization Revisited
In: Michael Hintermüller, Günter Leugering. Jan Sokolowski (Hrsg.): Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications, Oberwolfach: European Mathematical Society Publishing House, 2012, S. 3400-3403 (Oberwolfach Reports, Bd.57)
DOI: 10.4171/OWR/2012/57
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2011
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Devices and Methods on Analysis of Biomechanical Properties of Laryngeal Tissue and Substitute Materials
In: Current Bioinformatics 6 (2011), S. 344-361
ISSN: 1574-8936
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PENNON - software for linear and nonlinear matrix inequalities
In: Miguel F. Anjos, Jean B. Lasserre (Hrsg.): Handbook on Semidefinite, Conic and Polynomial Optimization, New York: Springer, 2011, S. 755 ff.
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Erratum: Finding auxetic frameworks in periodic tessellations
In: Advanced Materials 23 (2011), S. 2669-2674
ISSN: 0935-9648
DOI: 10.1002/adma.201190118
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Finding Auxetic Frameworks in Periodic Tessellations
In: Advanced Materials 23 (2011), S. 2669-2674
ISSN: 0935-9648
DOI: 10.1002/adma.201100268
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Material parameter computation for multi-layered vocal fold models
In: Journal of the Acoustical Society of America 129 (2011), S. 2168-2180
ISSN: 0001-4966
DOI: 10.1121/1.3543988
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Design of Auxetic Structures via Mathematical Optimization
In: Advanced Materials 23 (2011), S. 2650--2654
ISSN: 0935-9648
DOI: 10.1002/adma.201004090
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Optimized transformation of the glottal motion into a mechanical model
In: Medical Engineering & Physics 33 (2011), S. 210-217
ISSN: 1350-4533
DOI: 10.1016/j.medengphy.2010.09.019
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Computation of physiological human vocal fold parameters by mathematical optimization of a biomechanical model.
In: Journal of the Acoustical Society of America 130 (2011), S. 948-964
ISSN: 0001-4966
DOI: 10.1121/1.3605551
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2010
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Multidisciplinary Free Material Optimization
In: SIAM Journal on Applied Mathematics 70 (2010), S. 2709
ISSN: 0036-1399
DOI: 10.1137/090774446
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Experimental flow study of modeled regular and irregular glottal closure types
In: Logopedics Phoniatrics Vocology 35 (2010), S. 45-50
ISSN: 1401-5439
DOI: 10.3109/14015431003667652
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Topology and Dynamic Networks: Optimization with Application in Future Technologies
In: Martin Grötschel, Klaus Lucas, Volker Mehrmann (Hrsg.): Production Factor Mathematics, Berlin Heidelberg: Springer, 2010, S. 263-276
DOI: 10.1007/978-3-642-11248-5_14
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PDE-constrained optimization for advanced materials
In: GAMM-Mitteilungen 33 (2010), S. 209-229
ISSN: 0936-7195
DOI: 10.1002/gamm.201010016
URL: http://onlinelibrary.wiley.com/doi/10.1002/gamm.201010016/epdf
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Simulation of fracture in heterogeneous elastic materials with cohesive zone models
In: International Journal of Fracture (2010)
ISSN: 0376-9429
DOI: 10.1007/s10704-010-9552-z
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2009
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Free material optimization for plates and shells
23rd IFIP TC 7 Conference on System Modelling and Optimization (Cracow, 23-07-2007 - 27-07-2007)
In: Proceedings of the 23rd IFIP TC 7 Conference on System Modelling and Optimization 2009
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Visualization of the flow through modulated irregular glottal gaps
In: International Institute of Acoustics and Vibration (Hrsg.): Proceedings of the 16th International Congress on Sound and Vibration 2009, 2009, S. 2764-2771
ISBN: 9781615677368
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Topologie und Dynamische Netzwerke: Anwendungen Der Optimierung MIT Zukunft
In: Martin Grötschel, Klaus Lucas, Volker Mehrmann (Hrsg.): Produktionsfaktor Mathematik - Wie Mathematik Technik und Wirtschaft Bewegt, Berlin Heidelberg: Springer, 2009, S. 323-338
DOI: 10.1007/978-3-540-89435-3_14
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A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization
In: Optimal control of coupled systems of partial differential equations, 2009, S. 275--295 (Internat. Ser. Numer. Math., Bd.158)
DOI: 10.1007/978-3-7643-8923-9_16
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A SEQUENTIAL CONVEX SEMIDEFINITE PROGRAMMING ALGORITHM WITH AN APPLICATION TO MULTIPLE-LOAD FREE MATERIAL OPTIMIZATION
In: SIAM Journal on Optimization 20 (2009), S. 130-155
ISSN: 1052-6234
DOI: 10.1137/070711281
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Free Material Optimization with Fundamental Eigenfrequency Constraints
In: SIAM Journal on Optimization 20 (2009), S. 524--547
ISSN: 1052-6234
DOI: 10.1137/080717122
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2008
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Biomechanical modeling of laryngeal dynamics
2008 First International Symposium on Applied Sciences on Biomedical and Communication Technologies (Aalborg)
DOI: 10.1109/ISABEL.2008.4712600
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Free Material Optimization: Towards the Stress constraints
In: K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch (Hrsg.): Optimal Control of Coupled Systems of PDE, Oberwolfach: European Mathematical Society Publishing House, 2008, S. 620-622 (Oberwolfach Reports, Bd.13)
DOI: 10.4171/OWR/2008/1
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Free material optimization: recent progress
In: Optimization 57 (2008), S. 79-100
ISSN: 0233-1934
DOI: 10.1080/02331930701778908
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A New Method for the Solution of Multi-Disciplinary Free Material Optimization Problems
In: Karl Kunisch, Günter Leugering, Jürgen Sprekels and Fredi Tröltzsch (Hrsg.): Optimal Control of Coupled Systems of PDE, Oberwolfach: European Mathematical Society Publishing House, 2008, S. 647-649 (Oberwolfach Reports, Bd.13)
DOI: 10.4171/OWR/2008/13
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Topologie und dynamische Netzwerke: Anwendungen der Zukunft
In: M. Grötschel, K. Lucas, V. Mehrmann (Hrsg.): Produktionsfaktor Mathematik, 2008, S. 323 -- 340 (acatech diskutiert)
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2007
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Free material optimization for stress constraints
In: Structural and Multidisciplinary Optimization 33 (2007), S. 323-335
ISSN: 1615-147X
DOI: 10.1007/s00158-007-0095-5
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On the solution of large-scale SDP problems by the modified barrier method using iterative solvers
In: Mathematical Programming 109 (2007), S. 413-444
ISSN: 0025-5610
DOI: 10.1007/s10107-008-0250-9
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Quadratic programming and affine variational inequalities: a qualitative study by G. M. Lee, N. N. Tam and N. D. Yen
In: Mathematical Methods of Operations Research 65 (2007), S. 385-387
ISSN: 1432-2994
DOI: 10.1007/s00186-006-0108-y
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2006
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The Worst-Case Multiple Load FMO Problem Revisited
In: Martin Philip Bendsøe, Niels Olhoff, Ole Sigmund (Hrsg.): IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials, Springer Netherlands, 2006, S. 403-411 (Solid Mechanics and Its Applications, Bd.137)
DOI: 10.1007/1-4020-4752-5_40
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On the solution of nonlinear semidefinite programs by augmented Lagrangian methods
Aachen: Shaker Verlag, 2006
(Berichte Aus Der Mathematik)
ISBN: 978-3832253332
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2005
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Solving polynomial static output feedback problems with PENBMI
In: Proceedings of the 44th IEEE Conference on Decision and Control, 2005, S. 7581 - 7586
DOI: 10.1109/CDC.2005.1583385
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A nonlinear SDP algorithm for static output feedback problems in COMPLEIB
In: IFAC Proceedings Volumes (IFAC-PapersOnline) 38 (2005), S. 1055-1060
ISSN: 1474-6670
DOI: 10.3182/20050703-6-CZ-1902.00832
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Recent progress in the NLP-SDP code PENNON
In: F. Jarre, C. Lemarechal, J. Zowe (Hrsg.): Optimization and Applications, Oberwolfach: European Mathematical Society Publishing House, 2005, S. 101-104 (Oberwolfach Reports, Bd.2)
DOI: 10.4171/OWR/2005/2
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2003
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PENNON: A code for convex nonlinear and semidefinite programming
In: Optimization Methods & Software 18 (2003), S. 317-333
ISSN: 1055-6788
DOI: 10.1080/1055678031000098773
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PENNON - A generalized augmented Lagrangian method for semidefinite programming
In: Gianni Di Pillo, Almerico Murli (Hrsg.): High Performance Algorithms and Software for Nonlinear Optimization, 2003, S. 303-321 (Applied Optimization, Bd.82)
DOI: 10.1007/978-1-4613-0241-4_14
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2000
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Konvexe semidefinite Programmierung (Diplomarbeit, 2000)
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