33 citations · 73 across the 16 of their papers we have counts for
18 papers
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…
Spatially-varying meshless approximation method for enhanced computational efficiency
Mitja Jančič, Miha Rot, 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 spatial variation of computational no…
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…
Strong form mesh-free -adaptive solution of linear elasticity problem
Mitja Jančič, Gregor Kosec
We present an algorithm for -adaptive collocation-based mesh-free numerical analysis of partial differential equations. Our solution procedure follows a well-established iterat…
A Meshless Solution of a Small-Strain Plasticity Problem
Filip Strniša, Mitja Jančič, Gregor Kosec
When the deformations of a solid body are sufficiently large, parts of the body undergo a permanent deformation commonly refereed to as plastic deformation. Several plasticity mode…
Implicit-Explicit Error Indicator based on Approximation Order
Mitja Jančič, Filip Strniša, Gregor Kosec
With the immense computing power at our disposal, the numerical solution of partial differential equations (PDEs) is becoming a day-to-day task for modern computational scientists.…
A hybrid RBF-FD and WLS mesh-free strong-form approximation method
Mitja Jančič, Gregor Kosec
Since the advent of mesh-free methods as a tool for the numerical analysis of systems of Partial Differential Equations (PDEs), many variants of differential operator approximation…
A sharp-interface mesoscopic model for dendritic growth
Mitja Jančič, Miha Založnik, Gregor Kosec
The grain envelope model (GEM) describes the growth of envelopes of dendritic crystal grains during solidification. Numerically the growing envelopes are usually tracked using an i…
Stability analysis of RBF-FD and WLS based local strong form meshless methods on scattered nodes
Mitja Jančič, Gregor Kosec
The popularity of local meshless methods in the field of numerical simulations has increased greatly in recent years. This is mainly due to the fact that they can operate on scatte…
Uncertainty Assessment of Dynamic Thermal Line Rating for Operational Use at Transmission System Operators
Aleksandra Rashkovska, Mitja Jančič, Matjaž Depolli +2
Transmission system operators (TSOs) in recent years have faced challenges in order to ensure maximum transmission capacity of the system to satisfy market needs, while maintaining…
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…
Discretized boundary surface reconstruction
Mitja Jančič, Viktor Cvrtila, Gregor Kosec
Domain discretization is an essential part of the solution procedure in numerical simulations. Meshless methods simplify the domain discretization to positioning of nodes in the in…
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…
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…