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Meshfree Methods: Progress Made after 20 Years

Journal of Engineering Mechanics - ASCE, 2017
Jiun-Shyan Chen, M. Hillman, S. Chi
semanticscholar   +3 more sources

Meshfree and Particle Methods

2023
Ted Belytschko   +2 more
openaire   +2 more sources

Extended meshfree methods

2020
The topic of Chapter 5 is extended meshfree methods. Firstly, the basic concept of meshfree methods is explained. Subsequently, we present several popular meshfree approximations including the Smoothed Particle Hydrodynamics (SPH) and improvements of it ...
Timon Rabczuk   +3 more
openaire   +2 more sources

Numerical solution of two-dimensional stochastic time-fractional Sine–Gordon equation on non-rectangular domains using finite difference and meshfree methods

, 2021
The nonlinear Sine-Gordon equation is one of the widely used partial differential equations that appears in various sciences and engineering. The main purpose of writing this article is providing an efficient numerical method for solving two-dimensional (
Farshid Mirzaee   +2 more
semanticscholar   +1 more source

Consistent weak forms for meshfree methods: Full realization of h-refinement, p-refinement, and a-refinement in strong-type essential boundary condition enforcement

, 2021
Enforcement of essential boundary conditions in many Galerkin meshfree methods is non-trivial due to the fact that field variables are not guaranteed to coincide with their coefficients at nodal locations.
M. Hillman, Kuan-Chung Lin
semanticscholar   +1 more source

Reduced quadrature for FEM, IGA and meshfree methods

, 2021
We propose a framework to improve one-point quadrature and, more generally, reduced integration for finite element methods (FEM), Isogeometric Analysis (IGA), and immersed methods.
G. Moutsanidis, Weican Li, Y. Bazilevs
semanticscholar   +1 more source

Spline‐based meshfree method

International Journal for Numerical Methods in Engineering, 2012
SUMMARYIn the present work, the spline‐based meshfree method (SBMFM) is presented. The SBMFM uses spline basis functions for field variables and boundary representation. Because of the inherent properties of splines, that is, NURBS (nonuniform rational B‐splines), the analysis domain used in the SBMFM has its own parametric domain. Unlike the classical
Kim, HJ Kim, Hyun-Jung   +1 more
openaire   +2 more sources

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