A Fully Meshless Approach to the Numerical Simulation of Heat Conduction Problems over Arbitrary 3D Geometries

Fast Variable Density 3-D Node Generation

(2021) Kiera van der Sande et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models

(2020) Arman Shojaei et al.   COMPUTATIONAL MECHANICS

Novel multilevel techniques for convergence acceleration in the solution of systems of equations arising from RBF-FD meshless discretizations

(2019) Riccardo Zamolo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems

(2019) Arman Shojaei et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Two algorithms for fast 2D node generation: Application to RBF meshless discretization of diffusion problems and image halftoning

(2018) Riccardo Zamolo et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Radial basis functions methods for boundary value problems: Performance comparison

(2017) Lihua Wang   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

(2017) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Julia: A Fresh Approach to Numerical Computing

(2017) Jeff Bezanson et al.   SIAM REVIEW

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy

(2016) Natasha Flyer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast generation of 2-D node distributions for mesh-free PDE discretizations

(2015) Bengt Fornberg et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Global Versus Localized RBF Meshless Methods for Solving Incompressible Fluid Flow with Heat Transfer

(2015) J. Waters et al.   NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS

Solving PDEs with radial basis functions

(2015) Bengt Fornberg et al.   ACTA NUMERICA

Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions

(2012) Guangming Yao et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS