About me
My research is focused on analyzing and developing numerical algorithms for solving partial differential equations that find applications in fluid mechanics and biomechanics.
Between years 2023 and 2025 I was a postdoctoral researcher at Department of Mathematics, Stockholm University.
I previously held a position in industry where I worked as Senior Software and Algorithm developer at Qamcom Research and Technology.
Research interests
- Theoretical and computational analysis of numerical methods.
- PDE model coupling.
- Computational glaciology.
- Computational biomechanics.
Education
- (2017-2022) Ph.D. Scientific Computing with specialization in Numerical Analysis, Uppsala University, Sweden.
- (2014-2017) M.Sc. Computational Science and Engineering, Technical University Munich, Germany.
- (2011-2014) B.Sc. Electrical Engineering, University of Ljubljana, Slovenia.
Publications
- Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme. Preprint. 2025
- Well-posedness of the Stokes problem under modified pressure Dirichlet boundary conditions. BIT Numerical Mathematics. 2025.
- Weak form Shallow Ice Approximation models with an improved time step restriction. Journal of Glaciology. 2025.
- Stability estimates for radial basis function methods applied to linear scalar conservation laws. Applied Mathematics and Computation, 2025.
- An RBF partition of unity method for geometry reconstruction and PDE solution in thin structures. Preprint, 2024.
- Meshfree RBF–FD methods for numerical simulation of PDE problems. Journal of Physics, 2024.
- Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. Journal of Scientific Computing, 2022.
- An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations. Journal of Computational Physics, 2022.
- A least squares radial basis function finite difference method with improved stability properties. SIAM Journal on Scientific Computing, 2021.
- An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries. Journal of Computational Physics, 2021.
- A first meshless approach to simulation of the elastic behaviour of the diaphragm. Springer, Lecture notes in Computational Science and Engineering, 2020.
Teaching
- Lecturer, Numerical Analysis I, Spring 2024. Stockholm Univ.
- Lecturer, Programming for Physicists, Autumn 2023. Stockholm Univ.
- Lecturer, Scientific Computing III (PDEs: FDM and FEM, Linear systems: iterative methods), Winter 2021. Uppsala Univ.
- Lecturer, Programming in Python, Autumn 2020. Uppsala Univ.
- Lecturer, Scientific Computing bridging course (Linear systems, ODEs), Autumn 2020. Uppsala Univ.
- Teaching assistant, Scientific Computing II (ODEs), Spring 2019. Uppsala Univ.
- Teaching assistant, Scientific Computing II, Winter 2018. Uppsala Univ.
- Teaching assistant, Computer lab, 2012-2014. University of Ljubljana, Dept. Mathematics and Physics.
Bachelor Thesis supervision
- Nasiha Häfener, Stabilizing Glacier Simulations: Coupling Free-Surface Stabilization Algorithm to the Positivity Preserving Surface Constraint in FeniCS, Stockholm University, Sweden.
- Joakim Heumann, A Machine Learning Model Predicting Errors in Simplified Continental Ice Sheet Simulations, KTH, Sweden.
Conferences
- FEniCS 2024, Oslo, June 2024, contributed talk (best postdoc talk prize).
- ESCO 2024, Pilsen, June 2024, invited minisymposium talk.
- EGU Nordic Branch, Helsinki, November 2023, contributed talk.
- SIAM CSE22, Online, July 2022, invited minisymposium talk.
- DWCAA 21, Online, September 2021, talk (best talk prize).
- ICOSAHOM 20/21, Online, July 2021, contributed talk.
- SIAM CSE21, Online, March 2021, contributed talk.
- DRWA 19, Alba di Canazei, Italy, September 2019, talk.
- SIAM CSE19, Spokane, USA, February 2019, invited minisymposium talk.
- WCCM 18, New York, USA, July 2018, invited minisymposium talk.
- ICOSAHOM 18, London, UK, July 2018, invited minisymposium talk.
- Kernel-Based PDE methods, ICERM, Providence, USA, July 2017, poster.
Journal referee work
- Computers and Mathematics,
- Communications on Applied Mathematics and Computation,
- Journal of Computational Physics,
- Engineering Analysis with Boundary Elements.
- Co-organizer of Seminar in Numerical Analysis (KTH + Stockholm University). (2023 - 2024)
- SIAM Student chapter (Uppsala) officer:
- Vice-President (2017-2018),
- Secretary (2019-2022).