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Research

Research Interests

  • Mathematical Modeling and Simulation
  • Advanced Numerical Approximation Techniques - Finite Volume, Finite Element, High-order Methods
  • Meshfree (Particle) Approximation Methods
  • Multigrid and Multilevel Solvers
  • Computational Fluid Dynamics, Turbulence Modeling
  • Interested in AI for Mathematics

softwares

Softwares

I contributed to the following code bases:

Mathematical and Numerical Softwares

  • LFAToolkit.jl, a julia package used in the analysis of multigrid, multilevel algorithms for solving PDEs via FEM or FDM. Code base can be found here
  • libCEED, a fast algebra C library for element-based discretizations with bindings available in Fortran, Rust, Python, and Julia languages. Code base can be found here
  • PETSc, Portable, Extensible Toolkit for Scientific Computation for scalable solution applications modelled by PDEs. Has bindings for C, Fortran, and Python. Code base can be found here. Additionally, added to PETSc this tutorial code - A Chebyshev spectral method for the compressible Blasius boundary layer equations

supervision

Supervision

I am keen on supervision, I have supervised and mentored the following theses and projects:

Modeling Camp

  • Supervised and mentored 26 master students spanning 7 applied mathematics projects. University of Hamburg, Germany (2021)

Master Theses

  • Modeling, simulation and optimization of pressure retarded osmosis (PRO) power station: Co vs. counter current setting. By Olakunle Bolorunduro, University of Hamburg, Germany (2021)
  • Kinetic induced moment systems using orthogonal polynomials. By Girish Kumatagi, University of Hamburg, Germany (2019)
  • Development, implementation and test of a pressure forcing for simulating meteo-tsunamis. By Max Humberto Rodriguez Gomez, University of Hamburg, Germany (2018)

Bachelor Summer Projects

  • Better solids simulation with high performance algorithms. By Alex Pedersen, University of Colorado Boulder, USA (2022)

talks

teaching

Modeling Camp

Graduate course, University of Hamburg, Department of Mathematics, 2021