Meshfree methods: progress made after 20 years

JS Chen, M Hillman, SW Chi - Journal of Engineering Mechanics, 2017 - ascelibrary.org
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

On the meshfree particle methods for fluid-structure interaction problems

F Mazhar, A Javed, JT Xing, A Shahzad… - … Analysis with Boundary …, 2021 - Elsevier
This paper presents a review of recent progress made towards the applications of the
meshfree particle methods (MPMs) for solving coupled fluid-structure interaction (FSI) …

Stabilized Lagrange interpolation collocation method: A meshfree method incorporating the advantages of finite element method

L Wang, M Hu, Z Zhong, F Yang - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Since most approximation functions in meshfree methods are rational functions which do not
possess the Kronecker delta property, how to achieve exact integration and accurately …

A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation

L Wang, Z Qian - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
Meshfree direct collocation method (DCM) based on strong form suffers low accuracy and
instability compared with Galerkin-based meshfree methods. Meshfree weighted least …

An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics

M Hillman, JS Chen - International Journal for Numerical …, 2016 - Wiley Online Library
Convergent and stable domain integration that is also computationally efficient remains a
challenge for Galerkin meshfree methods. High order quadrature can achieve stability and …

An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects

L Deng, D Wang - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
A theoretical framework for the accuracy analysis of meshfree collocation methods is
presented with a particular focus on the effects of boundary conditions. In the proposed …

An accuracy analysis of Galerkin meshfree methods accounting for numerical integration

J Wu, D Wang - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
Presently, it has been widely recognized that numerical integration plays a crucial role on
the solution accuracy of Galerkin meshfree methods due to the rational nature of meshfree …

Superconvergent gradient smoothing meshfree collocation method

D Wang, J Wang, J Wu - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
A superconvergent meshfree collocation method with smoothed nodal gradients is
presented. In this method, the first order smoothed gradients of meshfree shape function are …

Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration

X Li - Journal of Scientific Computing, 2023 - Springer
A stabilized element-free Galerkin (EFG) method is developed and analyzed in this paper for
the meshless numerical solution of Stokes problems. To accelerate the solution procedure …

[图书][B] Generalized barycentric coordinates in computer graphics and computational mechanics

K Hormann, N Sukumar - 2017 - books.google.com
In Generalized Barycentric Coordinates in Computer Graphics and Computational
Mechanics, eminent computer graphics and computational mechanics researchers provide …