Medusa: A C++ Library for Solving PDEs Using Strong Form Mesh-free Methods
Published in Computers & Geosciences, 2021, DOI . BiBTeX Download
Descibes the C++ Medusa library for solving PDEs with meshless methods in a dimension-independent way. »
Publications
You can also find my articles on my Google Scholar profile.
RBF-FD analysis of 2D time-domain acoustic wave propagation in heterogeneous media
Published in Computers & Geosciences, 2021, DOI . BiBTeX Download
This paper investigates an RBF-FD solution of time-domain acoustic wave propagation in the context of seismic modeling in the Earth’s subsurface. »
Fast variable density node generation on parametric surfaces with application to mesh-free methods
Published in SIAM Journal on Scientific Computing, 2021, DOI . BiBTeX Download
An algorithm to generate meshless node sets on surfaces is presented. »
Monomial Augmentation Guidelines for RBF-FD from Accuracy Versus Computational Time Perspective
Published in Journal of Scientific Computing, 2021, DOI . BiBTeX Download
We analyze the ability of RBF-FD to solve PDEs on scattered node sets in a dimension-independent way, with the ability to easily control the order of the method, but at a greater cost to execution time. »
Adaptive RBF-FD method
Published in Journal of Scientific Computing, 2020, DOI . BiBTeX Download
We develop h-adaptivity for elliptic problems using RBF-FD meshless method. »
Cooling of overhead power lines due to the natural convection
Published in International Journal of Electrical Power & Energy Systems, 2019, DOI . BiBTeX Download
Experimental and numerical evaluation of the effect of natural convection on the overhead power lines »
On Generation of Node Distributions for Meshless PDE Discretizations
Published in SIAM Journal on Scientific Computing, 2019, DOI . BiBTeX Download
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, and higher dimensions »
Weak and strong from meshless methods for linear elastic problem under fretting contact conditions
Published in Tribology International, 2019, DOI . BiBTeX Download
Comparison of weak form and strong form meshless methods for linear elastic fretting fatigue contact. »
Adaptive RBF-FD method for Poisson’s equation
Published in Boundary Elements and other Mesh Reduction Methods XXXXII, WIT Transactions on Engineering Sciences, vol. 126, International Conference on Boundary Elements and other Mesh Reduction Methods, July 2–4, 2019, Coimbra, Portugal, 2019, DOI . BiBTeX Download
Paper about our adaptive framework for RBF-FD with applications to Poisson and Helmholtz equation »
High order RBF-FD approximations with application to a scattering problem
Published in Proceedings of the 4th International Conference on Smart and Sustainable Technologies, SpliTech 2019, June 18–21, 2019, Bol, island of Brač and Split, Croatia, 2019. BiBTeX Download
A paper about the high-accuracy RBF-FD method using PHS with monomial augmentation, with application to a scattering problem, showing workings of Medusa with complex numbers and coupled domains. »
Parallel RBF-FD solution of the Boussinesq’s problem
Published in Proceedings of the Sixth International Conference on Parallel, Distributed, GPU and Cloud Computing for Engineering, June 5–6, 2019, Pécs, Hungary, 2019. BiBTeX Download
Investigation of RBF-FD parallelization when solving variable density discretization 3D problem. »
Parallel simulation of time-domain acoustic wave propagation
Published in MIPRO 2019: 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics, May 20–24, 2019, Opatija, Croatia, 2019, DOI . BiBTeX Download
A RBF-FD simulation of wave propagation. »
RBF-FD solution of electromagnetic scattering problem
Published in MIPRO 2019: 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics, May 20–24, 2019, Opatija, Croatia, 2019, DOI . BiBTeX Download
A RBF-FD solution of a scattering by an anisotropic cylinder, showing the capability of Medusa handling comupled domains and complex numbers. »
Adaptive radial basis function‐generated finite differences method for contact problems
Published in International Journal for Numerical Methods in Engineering, 2019, DOI . BiBTeX Download
Original adaptive framework for the RBF-FD method, demonstrated on linear elasticity for contact problems »
Refined Meshless Local Strong Form solution of Cauchy–Navier equation on an irregular domain
Published in Engineering Analysis with Boundary Elements, 2019, DOI . BiBTeX Download
This paper considers a numerical solution of a linear elasticity problem using a strong form meshless method based on a local Weighted Least Squares (WLS) approximation. »
Fast generation of variable density node distributions for mesh-free methods
Published in Boundary Elements and other Mesh Reduction Methods XXXXI, WIT Transactions on Engineering Sciences, vol. 122, International Conference on Boundary Elements and other Mesh Reduction Methods, September 11–13, 2018, New Forest, UK, 2018, DOI . BiBTeX Download
Paper about the improvements of the node placing algorithms for strong form meshless methods »
Generic implementation of meshless local strong form method
Published in ECT2018, The Tenth International Conference on Engineering Computational Technology 2018, September 4–8, 2018, Stiges, Barcelona, Spain, 2018, URL . BiBTeX Download
Paper about the implementation of the Medusa library »
Numerical simulation of overhead power line cooling in natural convection regime
Published in ECT2018, The Tenth International Conference on Engineering Computational Technology 2018, September 4–8, 2018, Stiges, Barcelona, Spain, 2018, URL . BiBTeX Download
Paper about cooling of overhead power lines in natural convection regime, used in dynamic thermal rating. »
Numerical simulation of natural convection from a heated cylinder
Published in Proceedings of the International Conference on Computational Methods, ICCM2018, August 6–10, 2018, Rome, Italy, 2018, URL . BiBTeX Download
In this paper we present a meshless solution of natural convection from the heated cylinder. »
RBF-FD based dynamic thermal rating of overhead power lines
Published in Advances in Fluid Mechanics XII, WIT Transactions on Engineering Sciences vol. 120, Twelfth International Conference on Advances in Fluid Mechanics, AFM 18, July 10–12, 2018, Ljubljana, Slovenia, 2018, DOI . BiBTeX Download
This paper talks about doing dynamic thermal rating of power lines by computing the thermo-fluid flow around a cyllinder coupled with the heat equation in the interior »
Refined RBF-FD Solution of Linear Elasticity Problem
Published in Proceedings of the 3rd International Conference on Smart and Sustainable Technologies, SpliTech 2018, June 26–29, 2018, Split, Croatia, 2018, URL . BiBTeX Download
This paper talks about the RBF-FD method and its application to linear elasticity problems from fretting fatigue. »
Parallel Coordinate Free Implementation of Local Meshless Method
Published in MIPRO 2018: 41st International Convention on Information and Communication Technology, Electronics and Microelectronics, May 21–25, 2018, Opatija, Croatia, 2018, DOI . BiBTeX Download
This paper presents an implementation of a Meshless Local Strong Form Method that allows users to write elegant code expressed in terms of abstract mathematical objects. »
Detection of Heart Rate Variability From a Wearable Differential ECG Device
Published in Proceedings of the 39th Internation Convention on Information and Communication Technology, Electornics and Microelectornics (MIPRO 2016), 2016, DOI . BiBTeX Download
The paper talks about precisely extracting heart rate variability from noise ECG signal extracted from mobile sensor using MLS based approximation. »