Philipp Zilk M.Sc.

 

Academic Career

from 03/2021	Scientific Research and Teaching Associate in the Institute for Mathematics and Computer-Based Simulation, University of the Bundeswehr Munich
10/2018-02/2021	Graduate Research and Teaching Assistant in the Faculty for Mathematics and the Chair for Business Informatics II, University of Regensburg
10/2018-02/2021	Master of Science in Mathematics, University of Regensburg Master's thesis: Surface-cluster and open surfaces with minimal Willmore-Energy
09/2019-01/2020	ERASMUS exchange semester, University of Montpellier, France Master-semester in the program for modeling and numerical analysis
10/2015-10/2018	Bachelor of Science in Mathematics, University of Regensburg Bachelor's thesis: Weak solution theory for the Kirchhoff-Love-Model for thin plates

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Teaching

Courses & Exercises

• Exercises Differential Equations (FT 2021, FT 2022)
• Exercises Partial Differential Equations (WT 2022, WT 2023)
• Exercises Mathematics I,II (HT 2022)

Supervised Student Projects / Theses

• Adaptive Interpolation von Funktionen mittels neuronaler Netze, Svenja Heitmann, Bachelor's thesis (2021)

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Research Interests

• Eigenvalues and eigenfunctions of differential operators
• Isogeometric Analysis on domains with singularities, local mesh grading
• Spectral theory and application to the isospectral problem
• Machine Learning for solving inverse problems

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Publications

International Conference and Seminar Contributions with Abstract

1. Zilk, Ph.: Introduction to Isogeometric Analysis and its efficiency for solving Laplace eigenvalue problems, invited, CERAMATHS - DMATHS seminar, Valenciennes, France, March 16, 2023
2. Zilk, Ph.: Isogeometric approximation of eigenfrequencies of membranes with cracks and application to shape identification, 35th Chemnitz FE Symposium, Herrsching am Ammersee, Germany, September 15 - 17, 2022
3. Zilk, Ph.,  Eckardt, L., Haubner, C., Apel,T. (2021): Numerical study of PDE eigenvalue problems, ECCOMAS Virtual International Conference on Isogeometric Analysis (VIGA), Lyon/Online Conference, September 26-29, 2021

Posters

1. Zilk, Ph.,  Eckardt, L., Haubner, C., Apel,T. (2021): Numerical study of PDE eigenvalue problems, ECCOMAS Virtual International Conference on Isogeometric Analysis (VIGA), Lyon/Online Conference, September 26-29, 2021, PDF

Monographs

1. Zilk, Ph. (2021): Flächen-Cluster und offene Flächen mit minimaler Willmore-Energie, Master's thesis, University of Regensburg
2. Zilk, Ph. (2018): Schwache Lösungstheorie für das Kirchhoff-Love-Modell für dünne Platten, Bachelor's thesis, University of Regensburg