2024

• Ebeling-Rump, Moritz; Hömberg, Dietmar Josef; Lasarzik, Robert. (2024) ON A TWO-SCALE PHASEFIELD MODEL FOR TOPOLOGY OPTIMIZATION. Discrete and Continuous Dynamical Systems. Series S
  Vitenskapelig artikkel
• Hömberg, Dietmar Josef; Asperheim, John Inge; Grande, Björnar; Das, Prerana; Petzold, Thomas. (2024) Numerical simulation of high-frequency induction welding in longitudinal welded tubes. Journal of Mathematics in Industry
  Vitenskapelig artikkel
• Brüggemann, Heinrich; Paulsen, Aksel; Oppedal, Ketil; Grasmair, Markus; Hömberg, Dietmar Josef. (2024) Reliably calibrating X-ray images required for preoperative planning of THA using a device-adapted magnification factor. PLOS ONE
  Vitenskapelig artikkel

2023

• Hömberg, Dietmar Josef; Lasarzik, Robert; Plato, Luisa. (2023) On the existence of generalized solutions to a spatio-temporal predator–prey system with prey-taxis. Journal of evolution equations (Printed ed.)
  Vitenskapelig artikkel

2022

• Ebeling-Rump, Moritz; Hömberg, Dietmar Josef; Lasarzik, Robert. (2022) Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint. Computers and Mathematics with Applications
  Vitenskapelig artikkel

2021

• Hömberg, Dietmar Josef; Lasarzik, Robert. (2021) Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness. Mathematical Models and Methods in Applied Sciences
  Vitenskapelig artikkel

2020

• Das, Prerana; Asperheim, John Inge; Grande, Björnar; Petzold, Thomas; Hömberg, Dietmar Josef. (2020) Three-dimensional numerical study of heat-affected zone in induction welding of tubes. Compel
  Vitenskapelig artikkel
• Arenas, Manuel J.; Hömberg, Dietmar Josef; Lasarzik, Robert; Mikkonen, Pertti; Petzold, Thomas. (2020) Modelling and simulation of flame cutting for steel plates with solid phases and melting. Journal of Mathematics in Industry
  Vitenskapelig artikkel

2019

• Carraturo, Massimo; Rocca, Elisabetta; Bonetti, Elena; Hömberg, Dietmar Josef; Reali, Alessandro; Auricchio, Ferdinando. (2019) Graded-material design based on phase-field and topology optimization. Computational Mechanics
  Vitenskapelig artikkel
• Hömberg, Dietmar Josef; Krumbiegel, Klaus; Togobytska, Nataliya. (2019) Optimal control of multiphase steel production. Journal of Mathematics in Industry
  Vitenskapelig artikkel

2018

• Hömberg, Dietmar Josef; Lu, Shuai; Yamamoto, Masahiro. (2018) Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data. Journal of Differential Equations
  Vitenskapelig artikkel

2017

• Hömberg, Dietmar Josef; Patacchini, Francresco Saverio; Sakamoto, Kenichi. (2017) A revisited Johnson--Mehl--Avrami--Kolmogorov model and the evolution of grain-size distributions in steel. IMA Journal of Applied Mathematics
  Vitenskapelig artikkel
• Farshbaf Shaker, Mohammed Hassan; Henrion, Rene; Hömberg, Dietmar Josef. (2017) Chance constraints in PDE constrained optimization. Set-Valued and Variational Analysis
  Vitenskapelig artikkel
• Ghezzi, Luca; Hömberg, Dietmar Josef; Landry, Chantal. (2017) Math for the Digital Factory. Springer Mathematics in Industry (27)
  Vitenskapelig antologi/Konferanseserie
• Hömberg, Dietmar Josef; Patacchini, Francresco Saverio; Sakamoto, Kenichi; Zimmer, Johannes. (2017) Revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel. IMA Journal of Applied Mathematics
  Vitenskapelig artikkel

2016

• Hömberg, Dietmar Josef; Liu, Qingzhe; Montalvo-Urquizo, Jonathan; Nadolski, Dawid; Petzold, Thomas; Schmidt, Alfred. (2016) Simulation of multi-frequency-induction-hardening including phase transitions and mechanical effects. Finite elements in analysis and design
  Vitenskapelig artikkel
• Guo, Yukun; Hömberg, Dietmar Josef; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu. (2016) A time domain sampling method for inverse acoustic scattering problems. Journal of Computational Physics
  Vitenskapelig artikkel

2015

• Homberg, Dietmar Josef; Petzold, Thomas; Rocca, Elisabetta. (2015) Analysis and simulations of multifrequency induction hardening. Nonlinear Analysis: Real world applications
  Vitenskapelig artikkel

2014

• Homberg, Dietmar Josef; Lu, Shuai; Sakamoto, Kenichi; Yamamoto, Masahiro. (2014) Parameter identification in non-isothermal nucleation and growth processes. Inverse Problems
  Vitenskapelig artikkel
• Bleck, Wolfgang; Homberg, Dietmar Josef; Prahl, Ulrich; Suwanpinij, Piyada; Togobytska, Nataliya. (2014) Optimal control of a cooling line for production of hot rolled dual phase steel. Steel Research International
  Vitenskapelig artikkel