Stability estimates for radial basis function methods applied to time-dependent hyperbolic PDEs. - Igor Tominec; Murtazo Nazarov; Elisabeth Larsson (CoRR, 2021)

An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries. - Igor Tominec; Eva Breznik (J. Comput. Phys., 2021)

A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties. - Igor Tominec; Elisabeth Larsson; Alfa R. H. Heryudono (SIAM J. Sci. Comput., 2021)

An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations. - Igor Tominec; Pierre-Frédéric Villard; Elisabeth Larsson; Victor Bayona; Nicola Cacciani (J. Comput. Phys., 2022)

Residual Viscosity Stabilized RBF-FD Methods for Solving Nonlinear Conservation Laws. - Igor Tominec; Murtazo Nazarov (J. Sci. Comput., 2023)

An RBF partition of unity method for geometry reconstruction and PDE solution in thin structures. - Elisabeth Larsson; Pierre-Frédéric Villard; Igor Tominec; Ulrika Sundin; Andreas Michael; Nicola Cacciani (CoRR, 2024)

Weak form Shallow Ice Approximation models with an improved time step restriction. - Igor Tominec; Josefin Ahlkrona (CoRR, 2024)

Well-posedness of the Stokes problem under modified pressure Dirichlet boundary conditions. - Igor Tominec; Josefin Ahlkrona; Malte Braack (CoRR, 2024)

Stability estimates for radial basis function methods applied to linear scalar conservation laws. - Igor Tominec; Murtazo Nazarov; Elisabeth Larsson (Appl. Math. Comput., 2025)

Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme. - Igor Tominec; Lukas Lundgren; André Löfgren; Josefin Ahlkrona (CoRR, 2025)