[HTML][HTML] An improved local radial basis function method for solving small-strain elasto-plasticity

G Vuga, B Mavrič, B Šarler - Computer methods in applied mechanics and …, 2024 - Elsevier
Strong-form meshless methods received much attention in recent years and are being
extensively researched and applied to a wide range of problems in science and …

[HTML][HTML] Simulation of direct chill casting under the influence of a low-frequency electromagnetic field

V Hatić, B Mavrič, N Košnik, B Šarler - Applied Mathematical Modelling, 2018 - Elsevier
A comprehensive, multiphysics, meshless, numerical model is developed for the simulation
of direct chill casting under the influence of a low-frequency electromagnetic field. The …

A comprehensive benchmark of fixed-grid methods for the modeling of melting

A König-Haagen, E Franquet, E Pernot… - International Journal of …, 2017 - Elsevier
Numerical simulation of melting processes is known to be tricky yet due to new application
fields they raise again the attention of both, researchers and engineers. Several approaches …

Local radial basis function collocation method for linear thermoelasticity in two dimensions

B Mavrič, B Šarler - International Journal of Numerical Methods for …, 2015 - emerald.com
Purpose–The purpose of this paper is to upgrade our previous developments of Local
Radial Basis Function Collocation Method (LRBFCM) for heat transfer, fluid flow and …

The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems

D Stevens, H Power, M Lees, H Morvan - Journal of Computational Physics, 2009 - Elsevier
In this work an extension is proposed to the Local Hermitian Interpolation (LHI) method; a
meshless numerical method based on interpolation with small and heavily overlapping …

Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface

YC Hon, B Šarler, D Yun - Engineering Analysis with Boundary Elements, 2015 - Elsevier
This paper explores the application of the meshless Local Radial Basis Function Collocation
Method (LRBFCM) for the solution of coupled heat transfer and fluid flow problems with a …

[PDF][PDF] Local RBF collocation method for Darcy flow

G Kosec, B Sarler - Computer Modeling in Engineering and Sciences, 2008 - Citeseer
This paper explores the application of the mesh-free Local Radial Basis Function
Collocation Method (LRBFCM) in solution of coupled heat transfer and fluid flow problems in …

Local radial basis function collocation method along with explicit time stepping for hyperbolic partial differential equations

R Vertnik, B Šarler - Applied Numerical Mathematics, 2013 - Elsevier
This paper tackles an improved Localized Radial Basis Functions Collocation Method
(LRBFCM) for the numerical solution of hyperbolic partial differential equations (PDEs). The …

Solution of thermo‐fluid problems by collocation with local pressure correction

G Kosec, B Šarler - International Journal of Numerical Methods for …, 2008 - emerald.com
Purpose–The purpose of this paper is to explore the application of the mesh‐free local radial
basis function collocation method (RBFCM) in solution of coupled heat transfer and fluid …

[图书][B] From global to local radial basis function collocation method for transport phenomena

B Šarler - 2007 - Springer
This article introduces basic concepts of meshless methods for solving partial differential
equations in their strong form by collocation or least squares approximation. Global and …