activity
20222026
most citedSome observations regarding the RBF-FD approximation accuracy dependence on stencil size

8 citations · 19 across the 13 of their papers we have counts for

collaborators
Showing 2024Show all

6 papers · 1 filter

math.NA2024

Numerical analysis of small-strain elasto-plastic deformation using local Radial Basis Function approximation with Picard iteration

Filip Strniša, Mitja Jančič, Gregor Kosec

This paper deals with a numerical analysis of plastic deformation under various conditions, utilizing Radial Basis Function (RBF) approximation. The focus is on the elasto-plastic…

math.NA2024★ 2 cited

Spatially dependent node regularity in meshless approximation of partial differential equations

Miha Rot, Mitja Jančič, Gregor Kosec

In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatially varying computational node…

physics.flu-dyn2024★ 3 cited

Hyperviscosity stabilisation of the RBF-FD solution to natural convection

Žiga Vaupotič, Miha Rot, Gregor Kosec

The numerical stability of fluid flow is an important topic in computational fluid dynamics as fluid flow simulations usually become numerically unstable in the turbulent regime. M…

physics.flu-dyn2024★ 1 cited

Cross-validation of meshless Navier-Stokes solvers in porous media flows

Dawid Strzelczyk, Miha Rot, Gregor Kosec +1

In this paper, two mesh-free CFD solvers for pore-scale fluid flow through porous media are considered, namely the Lattice Boltzmann Method with the two relaxation time collision t…

math.NA2024★ 8 cited

Some observations regarding the RBF-FD approximation accuracy dependence on stencil size

Andrej Kolar-Požun, Mitja Jančič, Miha Rot +1

When solving partial differential equations on scattered nodes using the Radial Basis Function-generated Finite Difference (RBF-FD) method, one of the parameters that must be chose…

math.NA2024

A superconvergence result in the RBF-FD method

Andrej Kolar-Požun, Mitja Jančič, Gregor Kosec

Radial Basis Function-generated Finite Differences (RBF-FD) is a meshless method that can be used to numerically solve partial differential equations. The solution procedure consis…