90 citations · 340 across the 24 of their papers we have counts for
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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.…
Dynamic mode decomposition as an analysis tool for time-dependent partial differential equations
Miha Rot, Martin Horvat, Gregor Kosec
The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningf…
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…
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…
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…