activity
20192024
most citedMonomial augmentation guidelines for RBF-FD from accuracy vs. computational time perspective

33 citations · 73 across the 16 of their papers we have counts for

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Showing 2022Show all

7 papers · 1 filter

math.NA2022★ 4 cited

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…

math.NA2022

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…

math.NA2022★ 1 cited

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.…

math.NA2022

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…

math.NA2022★ 1 cited

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…

math.NA2022★ 3 cited

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…

math.NA2022★ 13 cited

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…