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…
An RBF-based method for computational electromagnetics with reduced numerical dispersion
Andrej Kolar-Požun, Gregor Kosec
The finite difference time domain method is one of the simplest and most popular methods in computational electromagnetics. This work considers two possible ways of generalising it…
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…
Performance Trade-offs of High Order Meshless Approximation on Distributed Memory Systems
Jon Vehovar, Miha Rot, Gregor Kosec
Meshless methods approximate operators in a specific node as a weighted sum of values in its neighbours. Higher order approximations of derivatives provide more accurate solutions…