8 citations · 13 across the 8 of their papers we have counts for
8 papers
A representation and comparison of three cubic macro-elements
Ema Češek, Jan Grošelj, Andrej Kolar-Požun +4
The paper is concerned with three types of cubic splines over a triangulation that are characterized by three degrees of freedom associated with each vertex of the triangulation. T…
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…
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…
Computational Electromagnetics with the RBF-FD Method
Andrej Kolar-Požun, Gregor Kosec
One of the most popular methods employed in computational electromagnetics is the Finite Difference Time Domain (FDTD) method. We generalise it to a meshless setting using the Radi…
Oscillatory behaviour of the RBF-FD approximation accuracy under increasing 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…