Researching PDE eigenvalue problems, asymptotic analysis of expanding domains, directional homogenization, preconditioners for eigenvalue algorithms, preconditioners for linear solvers, spectral coarse spaces for domain decomposition, and Galerkin methods for moment models in rarefied gas modelling.
Research Interests
finite element method
computational chemistry
PDE eigenvalue problems
numerical algorithms
computational fluid dynamics (CFD)
domain decomposition
Education
10/19 – 07/24: Dr. rer. nat. in Applied Mathematics @ RWTH Aachen University, Aachen, Germany
04/18 – 09/19: Master of Science (M.Sc.) in Computational Engineering Science (CES) @ RWTH Aachen University, Aachen, Germany
10/14 – 04/18: Bachelor of Science (B.Sc.) in Computational Engineering Science (CES) @ RWTH Aachen University, Aachen, Germany
DBPrices.jl: A Julia wrapper for German railway prices.
ddEigenlab.jl: A Domain-Decomposition Eigenvalue Problem Lab to
fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13
latextools: Some scripts to process LaTeX documents.
Teaching
SS22: Assistant for Schulmathematik vom höheren Standpunkt (School mathematics from the higher perspective) @ NMH, University of Stuttgart, with Prof. Stamm
WS22: Assistant for Höhere Mathematik 1 für Ingenieure (higher mathematics 1 for engineers) @ LExMath - Lehrexportzentrum Mathematik, University of Stuttgart, with Prof. Stroppel
SS22: Assistant for Mathematical aspects in computational chemistry @ ACoM, RWTH Aachen, with Prof. Stamm
WS21: Assistant for Mathematische Grundlagen III (CES) @ MathCCES, RWTH Aachen, with Prof. Torrilhon & Prof. Krumscheid
WS20: Assistant for Mathematische Grundlagen III (CES) @ MathCCES, RWTH Aachen, with Prof. Stamm & Prof. Hakon Hoel
SS20: Assistant for Mathematische Grundlagen IV (CES) @ MathCCES, RWTH Aachen, with Prof. Stamm & Prof. Krumscheid
WS19/20: Assistant for Mathematische Grundlagen I (CES) @ MathCCES, RWTH Aachen, with Prof. Stamm & Prof. Krumscheid
SS19: Tutor for Mathematische Grundlagen IV (CES) @ MathCCES, RWTH Aachen
WS18/19: Tutor for Partielle Differentialgleichungen (CES) @ MathCCES, RWTH Aachen
Talks
Publishing Reproducible Numerics: A Student’s Perspective, RDM Workshop @ SFB 1481: Sparsity and Singular Structures, Aachen (Germany), 05 September, 2023.
A Two-Level Domain Decomposition Method for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains, 29th Biennial Conference on Numerical Analysis, Glasgow (Scotland), 27 June, 2023.
A Two-Level Domain Decomposition Method for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains, Workshop on Numerical Analysis of Nonlinear Schrödinger Equations, Augsburg (Germany), 22 June, 2023.
Robust Solvers for the Schrödinger Eigenvalue Problem with Long-Range Inter- actions in Anisotropically Expanding Domains, GAMM 93rd AM. Modeling, analysis and simulation of molecular systems (S26), Dresden (Germany), 01 June, 2023.
A Two-Level Domain Decomposition Method for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains, EMC2 Seminar (ERC Synergy project - Extreme-scale Mathematically-based Computational Chemistry), Paris (France), 10 March, 2023.
A Two-Level Domain Decomposition Method for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains, SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam (Netherlands), 28 February, 2023.
A Two-Level Domain Decomposition Method for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains, IANS Oberseminar @ University of Stuttgart, Stuttgart (Germany), 24 November, 2022.
A Two-Level Domain Decomposition Method for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains, DD27: 7th International Domain Decomposition Conference – MS4: SCSs in DDMs and Multiscale Discretizations, Prague (Czech Republic), 27 July, 2022.
A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Non-Uniformly Expanding Domains, ESCO 2022: 8th European Seminar on Computing, Pilsen (Czech Republic), 14 June, 2022.
A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Non-Uniformly Expanding Domains, ACoM Lunch Seminar, RWTH Aachen, 7 June, 2022.
An Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Non-Uniformly Expanding Domains, ACoM Lunch Seminar, RWTH Aachen, 15 June, 2021.
Optimal Eigensolvers for Dirichlet Schrödinger Operators with Non-Negative Additively Separable Potentials in Long Domains, GAMM Activity Group: Modelling, Analysis and Simulation of Molecular Systems (MOANSI) Annual Meeting 2020, 24-25 September, 2020.
Optimal Eigensolvers for Dirichlet Schrödinger Operators with Non-Negative Additively Separable Potentials in Long Domains, MathCCES Lunch Seminar, RWTH Aachen, 30 June, 2020.
Simulation of Non-Equilibrium Gas Flows Using the FEniCS Computing Platform, Master Thesis Defense, MathCCES Lunch Seminar, RWTH Aachen, 15 October, 2019.
Shear-Slip Mesh Update Method for Compressible Flow Simulations Involving Rotating Sub-Domains, CES Seminar Presentation, RWTH Aachen, 10 April, 2019.
Automated Boundary Layer Mesh Generation for Simulation of Convective Cooling, Bachelor Thesis Defense, MathCCES Lunch Seminar, RWTH Aachen, 10 April, 2018.
Academic Societies Memberships
Society for Industrial and Applied Mathematics (SIAM)
Gesellschaft für angewandte Mathematik und Mechanik (GAMM)
GAMM activity group Modelling, Analysis and Simulation of Molecular Systems (MOANSI)
Compétences
finite element method eigenvalue problems iterative solvers