Igor Tominec

Logo

View My GitHub Profile

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

Education

Publications

  1. Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme. Preprint. 2025
  2. Well-posedness of the Stokes problem under modified pressure Dirichlet boundary conditions. BIT Numerical Mathematics. 2025.
  3. Weak form Shallow Ice Approximation models with an improved time step restriction. Journal of Glaciology. 2025.
  4. Stability estimates for radial basis function methods applied to linear scalar conservation laws. Applied Mathematics and Computation, 2025.
  5. An RBF partition of unity method for geometry reconstruction and PDE solution in thin structures. Preprint, 2024.
  6. Meshfree RBF–FD methods for numerical simulation of PDE problems. Journal of Physics, 2024.
  7. Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. Journal of Scientific Computing, 2022.
  8. An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations. Journal of Computational Physics, 2022.
  9. A least squares radial basis function finite difference method with improved stability properties. SIAM Journal on Scientific Computing, 2021.
  10. An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries. Journal of Computational Physics, 2021.
  11. A first meshless approach to simulation of the elastic behaviour of the diaphragm. Springer, Lecture notes in Computational Science and Engineering, 2020.

Teaching

Bachelor Thesis supervision

Conferences

Journal referee work

Service to the community