90 citations · 274 across the 10 of their papers we have counts for
10 papers
Parallel domain discretization algorithm for RBF-FD and other meshless numerical methods for solving PDEs
Matjaž Depolli, Jure Slak, Gregor Kosec
In this paper, we present a novel parallel dimension-independent node positioning algorithm that is capable of generating nodes with variable density, suitable for meshless numeric…
p-refined RBF-FD solution of a Poisson problem
Mitja Jančič, Jure Slak, Gregor Kosec
Local meshless methods obtain higher convergence rates when RBF approximations are augmented with monomials up to a given order. If the order of the approximation method is spatial…
GPU accelerated RBF-FD solution of Poisson's equation
Mitja Jančič, Jure Slak, Gregor Kosec
The Radial Basis Function-generated finite differences became a popular variant of local meshless strong form methods due to its robustness regarding the position of nodes and its…
Fast variable density node generation on parametric surfaces with application to mesh-free methods
Urban Duh, Gregor Kosec, Jure Slak
Domain discretization is considered a dominant part of solution procedures for solving partial differential equations. It is widely accepted that mesh generation is among the most…
RBF-FD analysis of 2D time-domain acoustic wave propagation in heterogeneous media
Jure Močnik - Berljavac, Pankaj K Mishra, Jure Slak +1
Radial Basis Function-generated Finite Differences (RBF-FD) is a popular variant of local strong-form meshless methods that do not require a predefined connection between the nodes…
Medusa: A C++ Library for solving PDEs using Strong Form Mesh-Free methods
Jure Slak, Gregor Kosec
Medusa, a novel library for implementation of strong form mesh-free methods, is described. We identify and present common parts and patterns among many such methods reported in the…
Monomial augmentation guidelines for RBF-FD from accuracy vs. computational time perspective
Mitja Jančič, Jure Slak, Gregor Kosec
Local meshless methods using RBFs augmented with monomials have become increasingly popular, due to the fact that they can be used to solve PDEs on scattered node sets in a dimensi…
Refined Meshless Local Strong Form solution of Cauchy-Navier equation on an irregular domain
Jure Slak, Gregor Kosec
This paper considers a numerical solution of a linear elasticity problem, namely the Cauchy-Navier equation, using a strong form method based on a local Weighted Least Squares (WLS…
On generation of node distributions for meshless PDE discretizations
Jure Slak, Gregor Kosec
In this paper we present an algorithm that is able to generate locally regular node layouts with spatially variable nodal density for interiors of arbitrary domains in two, three a…
Adaptive Radial Basis Function-generated Finite Differences method for contact problems
Jure Slak, Gregor Kosec
This paper proposes an original adaptive refinement framework using Radial Basis Functions-generated Finite Differences method. Node distributions are generated with a Poisson Disk…