10 papers
Load Balanced Parallel Node Generation for Meshless Numerical Methods
Jon Vehovar, Miha Rot, Matjaž Depolli +1
Meshless methods are used to solve partial differential equations by approximating differential operators at a node as a weighted sum of values at its neighbours. One of the algori…
Meshless -adaptive Solution for non-Newtonian Natural Convection in a Differentially Heated Cavity
Miha Rot, Gregor Kosec
One of the main challenges in numerically solving partial differential equations is finding a discretisation for the computational domain that balances the accurate representation…
Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
Miha Rot, Žiga VaupotiÄ, 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 JanÄiÄ, 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…