Forschung

• Finite Elemente Methoden für partielle Differentialgleichungen
• Phasenfeldmethoden
• Robuste und effiziente matrix-freie Löser für Anwendungsprobleme
• Design von adaptiven Algorithmen und Softwareentwicklung
• High Performance Simulationen für multi-physikalische Probleme
• Graduiertenkolleg 2218 SiMET - Simulation mechanisch-elektrisch-thermischer Vorgänge in Lithium-Ionen-Batterien

Preise und Auszeichnungen

• Nischel Award for the Best Poster beim 35th Chemnitz Finite Element Symposium 2022
• GAMM Junior für die Jahre 2022 bis 2024, Facebook, Twitter
• Fakultätspreis 2016 für hervorragende Leistungen im Masterstudiengang Mathematik

Software

• Tutorial step-66 der Finite-Elemente-Bibliothek deal.II
• Contributor von dealii/candi (Source-Based Toolchain Installer für dealii)

Veröffentlichungen

1. G.F. Castelli, W. Dörfler (2022)
   Comparison of an h- and hp-Adaptive Finite Element Solver for Chemo-Mechanically Coupled Battery Electrode Particles
   Examples and Counterexamples. 2:100083.
   DOI: 10.1016/j.exco.2022.100083

2. G.F. Castelli, W. Dörfler (2021)
   A Parallel Matrix-Free Finite Element Solver for Phase Separation in Electrode Particles of Lithium Ion Batteries
   Proceedings in Applied Mathematics & Mechanics 2021, 21(1):e202100169.
   DOI: 10.1002/pamm.202100169

3. G.F. Castelli, L. von Kolzenberg, B. Horstmann, A. Latz, W. Dörfler (2021)
   Efficient Simulation of Chemical-Mechanical Coupling in Battery Active Particles
   Energy Technology, 9(6):2000835.
   DOI: 10.1002/ente.202000835

4. G.F. Castelli, W. Dörfler (2021)
   Study on an Adaptive Finite Element Solver for the Cahn-Hilliard Equation
   In: F.J. Vermolen, C. Vuik (Eds.) Numerical Mathematics and Advanced Applications ENUMATH 2019
   Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham, pp. 245-253.
   DOI: 10.1007/978-3-030-55874-1_23

5. G.F. Castelli, W. Dörfler (2019)
   An Efficient Matrix-Free Finite Element Solver for the Cahn-Hilliard Equation
   Proceedings of 8th GACM Colloquium on Computational Mechanics, Kassel University Press, pp. 441-444.
   DOI: 10.19211/KUP9783737650939

6. G.F. Castelli, W. Dörfler (2019)
   The Numerical Study of a Microscale Model for Lithium-Ion Batteries
   Computers & Mathematics with Applications, 77(6):1527-1540.
   DOI: 10.1016/j.camwa.2018.08.067

Dissertation

G.F. Castelli (2021)
Numerical Investigation of Cahn-Hilliard-Type Phase-Field Models for Battery Active Particles
Dissertation, Karlsruher Institut für Technologie (KIT).
DOI: 10.5445/IR/1000141249.

MathSEE

• Vertreter der Nachwuchswissenschaftler im Lenkungsausschuss
• Angebot im Rahmen des KIT-Zentrums MathSEE:
  A First Glance at Finite Element Implementation, mit W. Dörfler, 23.10.2019

Tagungsbeiträge

1. G.F. Castelli, W. Dörfler (2022)
   An hp-Adaptive Finite Element Method for a Chemo-Mechanical Battery Active Particle Model
   Chemnitz Finite Element Symposium, 15.-17.09.2022, Herrsching am Ammersee (Poster)

2. G.F. Castelli (2022)
   The Validated Numerical Simulation of a Microstructure Resolved Lithium-Ion Battery Model
   ACOMEN 2022, 31.08.-02.09.2022, Liege (Vortrag)

3. T. Carraro, G.F. Castelli, M. Icardi (2022)
   Electrochemical Processes for Batteries and Fuel Cells: Modeling and Numerical Methods
   ACOMEN 2022, 31.08.-02.09.2022, Liege (Minisymposium)

4. G.F. Castelli, W. Dörfler (2022)
   Comparison of an h- and hp-Adaptive Finite Element Solver for Chemo-Mechanically Coupled Battery Electrode Particles
   GAMM Jahrestagung 2022, 15.-19.08.2022, Aachen (Vortrag)

5. G.F. Castelli (2022)
   An hp-Adaptive Finite Element Method for a Chemo-Mechanical Battery Active Particle Model
   GAMM Jahrestagung 2022, 15.-19.08.2022, Aachen (Poster)

6. G.F. Castelli, W. Dörfler (2022)
   Parallel Matrix-Free Preconditioner for Cahn-Hilliard-Type Phase Separation in Battery Particles
   Preconditioning 2022, 08.-10.06.2022, Chemnitz (Vortrag)

7. G.F. Castelli (2022)
   Preconditioning Techniques for Application Problems in Computational Science and Engineering
   Preconditioning 2022, 08.-10.06.2022, (Minisymposium)

8. G.F. Castelli, R. Schoof, L. Köbbing, L. von Kolzenberg, B. Horstmann, A. Latz, W. Dörfler (2022)
   Simulation of a Chemo-Mechanical Model for SEI Growth on Battery Active Particles
   ModVal 2022, 14.-16.03.2022, Hohenkammer (Vortrag)

9. G.F. Castelli, W. Dörfler (2021)
   Efficient Matrix-Free Simulation of a Cahn-Hilliard-Type Phase-Field Model for Battery Electrode Particles
   Chemnitz Finite Element Symposium 2021, 06.-08.09.2021, Chemnitz (Vortrag)
10. G.F. Castelli, L. von Kolzenberg, B. Horstmann, A. Latz, W. Dörfler (2021)
    Efficient Simulation of Chemical-Mechanical Coupling in Battery Active Particles
    ModVal 2021, 20.-22.04.2021, Sion (online) (Vortrag)
11. G.F. Castelli, W. Dörfler (2021)
    A Parallel Matrix-Free Finite Element Solver for Phase Separation in Electrode Particles of Lithium Ion Batteries
    GAMM Jahrestagung 2020@21, 15.-19.03.2021, Kassel (online) (Vortrag)
12. G.F. Castelli, L. von Kolzenberg, W. Dörfler, B. Horstmann, A. Latz (2020)
    Numerical Methods for Coupled Chemical and Mechanical Processes in Electrode Particles of Lithium Ion Batteries
    GAMM PF Workshop 2020, 10.-11.02.2020, Kaiserslautern (Vortrag)
13. G.F. Castelli, W. Dörfler (2019)
    Preconditioning the Cahn-Hilliard Equation
    GAMM CSE Workshop 2019, 21.-22.11.2019, Günzburg (Vortrag)
14. G.F. Castelli, W. Dörfler (2019)
    Study on an Adaptive Finite Element Solver for the Cahn-Hilliard Equation
    ENUMATH 2019, 30.09.-04.10.2019, Egmond aan Zee (Vortrag)
15. G.F. Castelli, W. Dörfler (2019)
    The Numerical Simulation of Intercalation Processes in Lithium Ion Batteries
    DMV-Jahrestagung 2019, 23.-26.09.2019, Karlsruhe (Vortrag)
16. G.F. Castelli, W. Dörfler (2019)
    An Efficient Matrix-Free Solver for the Cahn-Hilliard Equation
    GACM 2019, 28.-30.08.2019, Kassel (Vortrag)
17. G.F. Castelli, W. Dörfler (2019)
    An Efficient Matrix-Free Finite Element Solver for the Cahn-Hilliard Equation
    MAFELAP 2019, 18.-21.06.2019, Brunel University London (Vortrag)
18. G.F. Castelli, W. Dörfler, M. Kamlah (2019)
    High Performance Simulations for Phase Segregation in Three-Dimensional Electrode Particles of Lithium Ion Batteries
    ModVal 2019, 12.-13.03.2019, Braunschweig (Vortrag)
19. G.F. Castelli, W. Dörfler (2019)
    An Efficient Matrix-Free Solver for the Cahn-Hilliard Equation
    GAMM PF Workshop 2019, 7.-8.02.2019, Karlsruhe (Vortrag)
20. G.F. Castelli, W. Dörfler (2018)
    The Numerical Simulation of Phase Segregation in Electrode Particles of Lithium Ion Batteries
    GAMM CSE Workshop 2018, 29.-30.11.2018, Siegen (Vortrag)
21. G.F. Castelli, W. Dörfler (2018)
    The Numerical Simulation of Phase Segregation in Electrode Particles of Lithium Ion Batteries
    Current Trends and Open Problems in Computational Solid Mechanics, 8.-9.10.2018, Hannover (Vortrag)
22. G.F. Castelli, W. Dörfler (2017)
    The Numerical Simulation of a Microscale Model for Li-Ion Batteries
    ACOMEN 2017, 18.-22.09.2017, Ghent (Poster)
23. G.F. Castelli, W. Dörfler (2017)
    The Numerical Simulation of a Microscale Model for Li-Ion Batteries
    ModVal 2017, 2.-3.03.2017, Karlsruhe (Poster)

Weitere Vorträge

1. G.F. Castelli, W. Dörfler (2019)
   Adaptive Matrix-Free Finite Element Methods for Phase Separation
   IFM-Seminar KIT, 3.12.2019, Karlsruhe (Vortrag)