Igor Tominec

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Research Associate at Jozef Stefan Institute, working on numerical methods for PDEs in multiphysics simulations including climate, biomedical, and energy applications. His research bridges computational methods and mathematical rigor to improve simulation reliability. Igor holds a Ph.D. in Numerical Analysis (Uppsala University, 2022) and an M.Sc. in Computational Science and Engineering (TUM, 2017). He was previously a postdoc at Stockholm University and Sr. Algorithm and Software Developer at Qamcom Research and Technology (Stockholm).

Personal Bibliography

2025

I. Tominec, M. Nazarov, E. Larsson; Stability estimates for radial basis function methods applied to linear scalar conservation laws, Applied mathematics and computation, vol. 484, 2025 [DOI: 10.1016/j.amc.2024.129020][COBISS: 223267075]
I. Tominec, J. Ahlkrona; Weak form Shallow Ice Approximation models with an improved time step restriction, Journal of glaciology, vol. 71, 2025 [DOI: 10.1017/jog.2024.105][COBISS: 223613699]
I. Tominec; Basis functions in standard finite difference methods, BIT’65 Conference : Uppsala, Sweden, January 14-16, 2025, 2025 [COBISS: 223570947]

2024

I. Tominec, J. Ahlkrona; On the Stokes problem well-posedness under pressure Dirichlet boundary conditions, FEniCS conference 2024 : June 12th to June 14th, 2024 [COBISS: 223485443]
E. Larsson, B. Mavrič, A. Michael, F. Pooladi, I. Tominec; Meshfree RBF–FD methods for numerical simulation of PDE problems, Eurotherm 2024 : 9th European Thermal Sciences Conference, 10/06/2024 - 13/06/2024, Lake Bled, Slovenia, Journal of physics. Conference series, 2024 [DOI: 10.1088/1742-6596/2766/1/012158][COBISS: 208931075]

2023

I. Tominec, M. Nazarov; Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws, Journal of scientific computing, vol. 100, 2023 [DOI: 10.1007/s10915-022-02055-8][COBISS: 223259395]

2022

I. Tominec, P. Villard, E. Larsson, V. Bayona, N. Cacciani; An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations, Journal of computational physics, vol. 469, 2022 [DOI: 10.1016/j.jcp.2022.111496][COBISS: 223265539]
B. Mavrič, I. Tominec, A. Michael, P. Villard, E. Larsson; Solving hyperelastic problems in biomechanics with least-squares RBF-FD methods, WCCM-APCOM Yokohama 2022 : 15th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics, Yokohama, Japan, Virtual, July 31 – August 5, 2022, 2022 [COBISS: 208439555]
I. Tominec, E. Larsson; Oversampled radial basis function methods for solving partial differential equations, 2022 [COBISS: 223453699]

2021

I. Tominec; IgorTo/rbf-fd : rectangular and square RBF-FD matrices in MATLAB, 2021 [DOI: 10.5281/zenodo.4525551][COBISS: 223583235]
I. Tominec, E. Larsson, A. Heryudono; A least squares radial basis function finite difference method with improved stability properties, SIAM journal on scientific computing, vol. 43, 2021 [DOI: 10.1137/20M1320079][COBISS: 223236611]
I. Tominec, E. Breznik; An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries, Journal of computational physics, vol. 436, 2021 [DOI: 10.1016/j.jcp.2021.110283][COBISS: 223255555]

2020

N. Cacciani, E. Larsson, A. Lauro, M. Meggiolaro, A. Scatto, I. Tominec, P. Villard; A first meshless approach to simulation of the elastic behaviour of the diaphragm, Spectral and high order methods for partial differential equations ICOSAHOM 2018 : selected papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018, 2020 [DOI: 10.1007/978-3-030-39647-3_40][COBISS: 223516931]

2017

I. Tominec, E. Larsson, H. Bungartz; Parallel localized radial basis function methods for the shallow water equations on the sphere : master's thesis, 2017 [COBISS: 223289347]

2014

I. Tominec; Linear programming approach for radiation treatment planning, Zbornik triindvajsete mednarodne Elektrotehniške in računalniške konference ERK 2014, 22. - 24. september 2014, Portorož, Slovenija, Zbornik ... Elektrotehniške in računalniške konference ... = Proceedings of the ... Electrotechnical and Computer Science Conference ..., 2014 [COBISS: 10773588]

2012

I. Tominec; An oversampled RBF-FD method for elliptic and hyperbolic PDEs, Schedule and book of abstracts, 2012 [COBISS: 223519235]
I. Tominec, E. Breznik, A. Titorič, S. Penič; Application of anisotropic magnetoresistive sesnsors [!] for detection of changes in organ activity, Proceedings, 2012 [COBISS: 9410644]