8 citations · 19 across the 13 of their papers we have counts for
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Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
Miha Rot, Žiga Vaupotič, Andrej Kolar-Požun +1
This paper presents an adaptive hyperviscosity stabilisation procedure for the Radial Basis Function-generated Finite Difference (RBF-FD) method, aimed at solving linear and non-li…
A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators
Adrijan Rogan, Andrej Kolar-Požun, Gregor Kosec
This paper focuses on RBF-based meshless methods for approximating differential operators, one of the most popular being RBF-FD. Recently, a hybrid approach was introduced that com…
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…
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…
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…
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…
Meshless interface tracking for the simulation of dendrite envelope growth
Mitja Jančič, Miha Založnik, Gregor Kosec
The growth of dendritic grains during solidification is often modelled using the Grain Envelope Model (GEM), in which the envelope of the dendrite is an interface tracked by the Ph…
Refined radial basis function-generated finite difference analysis of non-Newtonian natural convection
Miha Rot, Gregor Kosec
In this paper we present a refined Radial Basis Function-generated Finite Difference (RBF-FD) solution for a non-Newtonian fluid in a closed differentially heated cavity. The non-N…