WIAS Preprint List: H�mberg, Dietmar

• 3104: Hömberg, Dietmar; Lasarzik, Robert; Plato, Luisa
  Existence of weak solutions to an anisotropic electrokinetic flow model
  
• 3080: Arenas, Manuel J.; Hömberg, Dietmar; Lasarzik, Robert
  Optimal beam forming for laser materials processing
  
• 3026: Ebeling-Rump, Moritz; Hömberg, Dietmar; Lasarzik, Robert
  On a two-scale phasefield model for topology optimization
  Appeared in: Discrete Contin. Dyn. Syst. Ser. S, published online on 26.11.2023, DOI 10.3934/dcdss.2023206 .
• 2928: Drieschner, Martin; Gruhlke, Robert; Petryna, Yuri; Eigel, Martin; Hömberg, Dietmar
  Local surrogate responses in the Schwarz alternating method for elastic problems on random voided domains
  Appeared in: Comput. Methods Appl. Mech. Engrg., 405 (2023), pp. 115858/1--115858/18, DOI 10.1016/j.cma.2022.115858 .
• 2925: Hömberg, Dietmar; Lasarzik, Robert; Plato, Luisa
  On the existence of generalized solutions to a spatio-temporal predator-prey system
  Appeared in: J. Evol. Equ., 23 (2023), pp. 20/1--20/44, DOI 10.1007/s00028-023-00871-5 .
• 2908: Ebeling-Rump, Moritz; Hömberg, Dietmar; Lasarzik, Robert
  Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint
  Appeared in: Comput. Math. Appl., 126 (2022), pp. 100--114, DOI 10.1016/j.camwa.2022.09.004 .
• 2671: Hömberg, Dietmar; Lasarzik, Robert
  Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness
  Appeared in: Math. Models Methods Appl. Sci., 31 (2021), pp. 1867--1918 , DOI 10.1142/S021820252150041X .
• 2670: Arenas Jaén, Manuel J.; Hömberg, Dietmar; Lasarzik, Robert; Mikkonen, Pertti; Petzold, Thomas
  Modelling and simulation of flame cutting for steel plates with solid phases and melting
  Appeared in: J. Math. Ind., 10 (2020), pp. 18/1--18/16, DOI 10.1186/s13362-020-00086-0 .
• 2629: Ebeling-Rump, Moritz; Hömberg, Dietmar; Lasarzik, Robert; Petzold, Thomas
  Topology optimization subject to additive manufacturing constraints
  Appeared in: J. Math. Ind., 11 (2021), pp. 1--19, DOI 10.1186/s13362-021-00115-6 .
• 2615: Auricchio, Ferdinando; Bonetti, Elena; Carraturo, Massimo; Hömberg, Dietmar; Reali, Alessandro; Rocca, Elisabetta
  Structural multiscale topology optimization with stress constraint for additive manufacturing
  Appeared in: Math. Models Methods Appl. Sci., 30 (2020), pp. 1461--1483, DOI 10.1142/S0218202520500281 with the new title “A phase-field-based graded-material topology optimization with stress constraint”.
• 2600: Asperheim, John Inge; Das, Prerana; Grande, Bjørnar; Hömberg, Dietmar; Petzold, Thomas
  Numerical simulation of high-frequency induction welding in longitudinal welded tubes
  
• 2579: Drieschner, Martin; Eigel, Martin; Gruhlke, Robert; Hömberg, Dietmar; Petryna, Yuri
  Comparison of monomorphic and polymorphic approaches for uncertainty quantification with experimental investigations
  Appeared in: Reliab. Eng. Syst. Safety, 203 (2020), pp. 107106/1--107106/12, DOI 10.1016/j.ress.2020.107106 with the new title "Comparison of various uncertainty models with experimental investigations regarding the failure of plates with holes".
• 2553: Carraturo, Massimo; Rocca, Elisabetta; Bonetti, Elena; Hömberg, Dietmar; Reali, Alessandro; Auricchio, Ferdinando
  Additive manufacturing graded-material design based on phase-field and topology optimization
  Appeared in: Comput. Mech., 64 (2019), pp. 1589--1600, DOI 10.1007/s00466-019-01736-w with the new title “ Graded-material design based on phase-field and topology optimization”
• 2524: Yu, Jie; Hömberg, Dietmar; Petzold, Thomas; Lu, Shuai
  Temporal homogenization of a nonlinear parabolic system
  
• 2364: Hömberg, Dietmar; Rott, Oliver; Sturm, Kevin
  Discretisation and error analysis for a mathematical model of milling processes
  
• 2338: Farshbaf Shaker, Mohammad Hassan; Henrion, René; Hömberg, Dietmar
  Chance constraints in PDE constrained optimization
  Appeared in: Set-Valued Var. Anal., (2017), published online on 11.10.2017, DOI 10.1007/s11228-017-0452-5 .
• 2283: Hömberg, Dietmar; Patacchini, Francesco Saverio; Sakamoto, Kenichi; Zimmer, Johannes
  A revisited Johnson--Mehl--Avrami--Kolmogorov model and the evolution of grain-size distributions in steel
  Appeared in: IMA J. Appl. Math., 82 (2017) pp. 763--780, DOI 10.1093/imamat/hxx012 .
• 2167: Guo, Yukun; Hömberg, Dietmar; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu
  A time domain sampling method for inverse acoustic scattering problems
  Appeared in: J. Comput. Phys., 314 (2016) pp. 647--660.
• 2055: Hömberg, Dietmar; Lu, Shuai; Yamamoto, Masahiro
  Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data
  Appeared in: J. Differential Equations, 266 (2019), pp. 7525--7544.
• 1975: Hömberg, Dietmar; Liu, Qingzhe; Montalvo-Urquizo, Jonathan; Nadolski, Dawid; Petzold, Thomas; Schmidt, Alfred; Schulz, Alwin
  Simulation of multi-frequency-induction-hardening including phase transitions and mechanical effects
  Appeared in: Finite Elem. Anal. Des., 121 (2016) pp. 86--100.
• 1971: Hömberg, Dietmar; Krumbiegel, Klaus; Togobytska, Nataliya
  Optimal control of multiphase steel production
  Appeared in: J. Math. Ind., 9 (2019), pp. 1--32, DOI 10.1186/s13362-019-0063-x .
• 1910: Hömberg, Dietmar; Petzold, Thomas; Rocca, Elisabetta
  Analysis and simulations of multifrequency induction hardening
  Appeared in: Nonlinear Anal. Real World Appl., 22 (2015) pp. 84--97.
• 1825: Landry, Chantal; Welz, Wolfgang; Henrion, René; Hömberg, Dietmar; Skutella, Martin
  Task assignment, sequencing and path-planning in robotic welding cells
  Appeared in: Methods and Models in Automation and Robotics (MMAR), 2013 -- 18th International Conference on, Miedzyzdroje, Poland, August 26 - 29, 2013, IEEE, 2013, pp. 252--257.
• 1794: Bleck, Wolfgang; Hömberg, Dietmar; Prahl, Ulrich; Suwanpinij, Piyada; Togobytska, Nataliya
  Optimal control of a cooling line for production of hot rolled dual phase steel
  Appeared in: Steel Res. Int., 85 (2014) pp. 1328--1333.
• 1792: Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar
  Shape optimization for a sharp interface model of distortion compensation
  Appeared in: Comput. Optim. Appl., 64 (2016) pp. 557--588 under the title “Distortion compensation as a shape optimisation problem for a sharp interface model”
• 1789: Hömberg, Dietmar; Lu, Shuai; Sakamoto, Kenichi; Yamamoto, Masahiro
  Parameter identification in non-isothermal nucleation and growth processes
  Appeared in: Inverse Problems, 30 (2014) pp. 035003/1--035003/24.
• 1769: Graf, Marcel; Hömberg, Dietmar; Kawalla, Rudolf; Togobytska, Nataliya; Weiss, Wolf
  Identification, simulation and optimal control of heat transfer in cooling line of hot strip rolling mill
  
• 1658: Gerdts, Matthias; Henrion, René; Hömberg, Dietmar; Landry, Chantal
  Path planning and collision avoidance for robots
  Appeared in: Numer. Algebra Control Optim., 2 (2012) pp. 437--463.
• 1600: Hömberg, Dietmar; Liu, Jijun; Togobytska, Nataliya
  Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy
  Appeared in: Math. Methods Appl. Sci., 35 (2012) pp. 497--509.
• 1599: Hömberg, Dietmar; Krumbiegel, Klaus; Rehberg, Joachim
  Boundary coefficient control --- A maximal parabolic regularity approach
  Appeared in: Appl. Math. Optim., 67 (2013) pp. 3--31 under the title “Optimal control of a parabolic equation with dynamic boundary condition"
• 1588: Hömberg, Dietmar; Uhlmann, Eckart; Rott, Oliver; Rasper, Patrick
  Development of a stability prediction tool for the identification of stable milling processes
  Appeared in: Process Machine Interactions. Prediction and Manipulation of Interactions between Manufacturing Processes and Machine Tool Structures, B. Denkena, F. Hollmann, eds., Lecture Notes in Production Engineering, Springer, Berlin --- Heidelberg, 2013, pp. 203--224
• 1507: Suwanpinij, Piyada; Togobytska, Nataliya; Prahl, Ulrich; Weiss, Wolf; Hömberg, Dietmar; Bleck, Wolfgang
  Numerical cooling strategy design for hot rolled dual phase steel
  Appeared in: Steel Res. Int., 81 (2010) pp. 1001--1009.
• 1496: Hömberg, Dietmar; Rocca, Elisabetta
  A model for resistance welding including phase transitions and Joule heating
  Appeared in: Math. Methods Appl. Sci., 34 (2011) pp. 2077--2088.
• 1405: Hömberg, Dietmar; Steinbrecher, Andreas; Stykel, Tatjana
  Optimal control of robot-guided laser material treatment
  
• 1402: Hömberg, Dietmar; Kern, Daniela
  The heat treatment of steel --- A mathematical control problem
  Appeared in: Materialwiss. Werkstofftech., 40 (2009) pp. 438--442.
• 1368: Fasano, Antonio; Hömberg, Dietmar; Naumov, Dmitri
  On a mathematical model for laser-induced thermotherapy
  Appeared in: Appl. Math. Modelling, 34 (2010) pp. 3831--3840.
• 1363: Hömberg, Dietmar; Meyer, Christian; Rehberg, Joachim; Ring, Wolfgang
  Optimal control for the thermistor problem
  Appeared in: SIAM J. Control Optim., 48 (2010) pp. 3449--3481.
• 1361: Chełminski, Krzysztof; Hömberg, Dietmar; Rott, Oliver
  On a thermomechanical milling model
  Appeared in: Nonlinear Anal. Real World Appl., 12 (2011) pp. 615--632.
• 1338: Rott, Oliver; Rasper, Patrick; Hömberg, Dietmar; Uhlmann, Eckart
  A milling model with thermal effects including the dynamics of machine and work piece
  Appeared in: B. Denkena, ed., Proceedings, 1st International Conference on Process Machine Interactions, Hannover, September 3-4, 2008, PZH Produktionstechnisches Zentrum GmbH, Garbsen, 2008, pp. 369--378
• 1310: Dreyer, Wolfgang; Hömberg, Dietmar; Petzold, Thomas
  A model for the austenite-ferrite phase transition in steel including misfit stress
  
• 1306: Suwanpinij, Piyada; Togobytska, Nataliya; Keul, Christoph; Weiss, Wolf; Prahl, Ulrich; Hömberg, Dietmar; Bleck, Wolfgang
  Phase transformation modeling and parameter identification from dilatometric investigations
  Appeared in: Steel Res. Int., 79 (2008), pp. 793-799
• 1298: Hömberg, Dietmar; Togobytska, Nataliya; Yamamoto, Masahiro
  On the evaluation of dilatometer experiments
  Appeared in: Appl. Anal., 88 (2009) pp. 669-681.
• 1283: Fasano, Antonio; Hömberg, Dietmar; Panizzi, Lucia
  A mathematical model for case hardening of steel
  Appeared in: Math. Models Methods Appl. Sci., 19 (2009) pp. 2101--2126.
• 1225: Chełminski, Krzysztof; Hömberg, Dietmar; Kern, Daniela
  On a thermomechanical model of phase transitions in steel
  Appeared in: Adv. Math. Sci. Appl., 18 (2008), pp. 119--140
• 1151: Rott, Oliver; Hömberg, Dietmar; Mense, Carsten
  A comparison of analytical cutting force models
  
• 1097: Hömberg, Dietmar; Yamamoto, Masahiro
  Exact controllability on a curve for a semilinear parabolic equation
  Appeared in: Inverse Problems, 22 (2006) pp. 1855--1867.
• 1085: Alder, Holger; Hömberg, Dietmar; Weiss, Wolf
  Simulationsbasierte Regelung der Laserhärtung von Stahl
  Appeared in: HTM Z. Werkst. Waermebeh. Fertigung, 61 (2006) pp. 103--108.
• 914: Hömberg, Dietmar; Khludnev, Alexander
  A thermoelastic contact problem with a phase transition
  Appeared in: IMA J. Appl. Math., 71 (2006) pp. 479--495.
• 876: Hömberg, Dietmar; Weiss, Wolf
  PID-control of laser surface hardening of steel
  Appeared in: IEEE Trans. Control Syst. Technol., 14 (2006) pp. 896--904.
• 776: Hömberg, Dietmar; Sokołowski, Jan
  Sensitivity analysis of an eddy current problem related to induction heating
  
• 766: Hömberg, Dietmar
  A mathematical model for induction hardening including mechanical effects
  Appeared in: Nonlinear Anal. Real World Appl., 5 (2004), pp. 55-90
• 716: Hömberg, Dietmar; Khludnev, Alexander M.
  On safe crack shapes in elastic bodies
  Appeared in: European J. Mech. A/Solids, 21 (2002), pp. 991-998
• 639: Hömberg, Dietmar; Volkwein, Stefan
  Suboptimal control of laser surface hardening using proper orthogonal decomposition
  Appeared in: Math. Comput. Modelling, 37 (2003), pp. 1003-1028 under new title: Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition.
• 638: Hömberg, Dietmar; Duderstadt, Frank; Khludnev, Alexander M.
  A mathematical model for impulse resistance welding
  Appeared in: Math. Methods Appl. Sci. 26 (2003), pp. 717--737
• 574: Hömberg, Dietmar; Khludnev, Aleksander M.
  An equilibrium problem for a thermoelectroconductive body with the Signorini condition on the boundary
  Appeared in: Math. Methods Appl. Sci., 24 (2001) pp. 233--244.
• 521: Hömberg, Dietmar; Sokołowski, Jan
  Optimal Shape Design of Inductor Coils for Surface Hardening
  Appeared in: SIAM J. Control Optim., 42 (2003) pp. 1087--1117.
• 490: Arnăutu, Viorel; Hömberg, Dietmar; Sokołowski, Jan
  Convergence results for a nonlinear parabolic control problem
  Appeared in: Numer. Funct. Anal. Optim., 20 (1999), No. 9/10, pp. 805-824
• 476: Hömberg, Dietmar; Khludenv, Aleksander; Sokołowski, Jan
  On an equilibrium problem for a cracked body with electrothermoconductivity
  
• 375: Fuhrmann, Jürgen; Hömberg, Dietmar
  Numerical simulation of the surface hardening of steel
  Appeared in: Internat. J. Numr. Methods Heat Fluid Flow, 9 (1999), pp. 705-724.
• 315: Hömberg, Dietmar; Sokolowski, Jan
  Optimal control of laser hardening
  Appeared in: Adv. Math. Sci., 8 (1998), pp.911-928
• 144: Hömberg, Dietmar
  A numerical simulation of the Jominy end-quench test
  Appeared in: Acta mater., 44 (1996) pp. 4375--4385
• 131: Hömberg, Dietmar
  Irreversible phase transitions in steel
  Appeared in: Math. Methods Appl. Sci., 20 (1997) pp. 59--77

WIAS Technical Report List: H�mberg, Dietmar

• 3: Buchwalder, Anja; Hömberg, Dietmar; Jurke, Thomas; Spies, Hans-Joachim; Weiss, Wolf
  Simulation der Strahlhärtung von Stahl mit WIAS-SHarP