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03/21/2023
Computational Electromagnetics with the RBF-FD Method
One of the most popular methods employed in computational electromagneti...
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03/05/2023
Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis
We present an algorithm for fast generation of quasi-uniform and variabl...
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03/03/2023
Oscillatory behaviour of the RBF-FD approximation accuracy under increasing stencil size
When solving partial differential equations on scattered nodes using the...
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03/03/2023
Spatially-varying meshless approximation method for enhanced computational efficiency
In this paper, we address a way to reduce the total computational cost o...
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10/13/2022
Strong form mesh-free hp-adaptive solution of linear elasticity problem
We present an algorithm for hp-adaptive collocation-based mesh-free nume...
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04/03/2022
Implicit-Explicit Error Indicator based on Approximation Order
With the immense computing power at our disposal, the numerical solution...
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03/16/2022
A Meshless Solution of a Small-Strain Plasticity Problem
Plasticity is a branch of solid mechanics, which deals with materials th...
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03/09/2022
Dynamic mode decomposition as an analysis tool for time-dependent partial differential equations
The time-dependent fields obtained by solving partial differential equat...
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03/04/2022
A hybrid RBF-FD and WLS mesh-free strong-form approximation method
Since the advent of mesh-free methods as a tool for the numerical analys...
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02/28/2022
Stability analysis of RBF-FD and WLS based local strong form meshless methods on scattered nodes
The popularity of local meshless methods in the field of numerical simul...
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02/25/2022
A sharp-interface mesoscopic model for dendritic growth
The grain envelope model (GEM) describes the growth of envelopes of dend...
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02/16/2022
Refined RBF-FD analysis of non-Newtonian natural convection
In this paper we present a refined RBF-FD solution for a non-Newtonian f...
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02/03/2022
Parallel domain discretization algorithm for RBF-FD and other meshless numerical methods for solving PDEs
In this paper, we present a novel parallel dimension-independent node po...
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01/27/2022
Uncertainty Assessment of Dynamic Thermal Line Rating for Operational Use at Transmission System Operators
Transmission system operators (TSOs) in recent years have faced challeng...
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07/08/2021
p-refined RBF-FD solution of a Poisson problem
Local meshless methods obtain higher convergence rates when RBF approxim...
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07/08/2021
Discretized boundary surface reconstruction
Domain discretization is an essential part of the solution procedure in ...
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07/08/2021
GPU accelerated RBF-FD solution of Poisson's equation
The Radial Basis Function-generated finite differences became a popular ...
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05/18/2020
Fast variable density node generation on parametric surfaces with application to mesh-free methods
Domain discretization is considered a dominant part of solution procedur...
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01/02/2020
RBF-FD analysis of 2D time-domain acoustic wave propagation in heterogeneous Earth's subsurface
Radial Basis Function-generated Finite Differences (RBF-FD) is a popular...
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12/31/2019
Medusa: A C++ Library for solving PDEs using Strong Form Mesh-Free methods
Medusa, a novel library for implementation of strong form mesh-free meth...
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09/03/2019
Analysis of high order dimension independent RBF-FD solution of Poisson's equation
The RBF-FD solution of a Poisson problem with mixed boundary conditions ...
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12/07/2018