The extended/generalized finite element method: an overview of the method and its applications

TP Fries, T Belytschko - International journal for numerical …, 2010 - Wiley Online Library
An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

Point cloud generation for meshfree methods: an overview

P Suchde, T Jacquemin, O Davydov - Archives of Computational Methods …, 2023 - Springer
Meshfree methods are becoming an increasingly popular alternative to mesh-based
methods of numerical simulation. The biggest stated advantage of meshfree methods is the …

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 …

An adaptive global–local generalized FEM for multiscale advection–diffusion problems

L He, AJ Valocchi, CA Duarte - Computer methods in applied mechanics …, 2024 - Elsevier
This paper develops an adaptive algorithm for the Generalized Finite Element Method with
global–local enrichment (GFEM gl) for transient multiscale PDEs. The adaptive algorithm …

[หนังสือ][B] Smoothed particle hydrodynamics: a meshfree particle method

GR Liu, MB Liu - 2003 - books.google.com
Page 1 Smoothed Particle Hydrodynamics a meshfree particle method GR Liu ↑ MB Liu Page
2 Page 3 1 Smoothed Particle Hydrodynamics a meshfree particle method This One …

A nonlocal operator method for solving partial differential equations

H Ren, X Zhuang, T Rabczuk - Computer Methods in Applied Mechanics …, 2020 - Elsevier
A nonlocal operator method is proposed which is generally applicable for solving partial
differential equations (PDEs) of mechanical problems. The nonlocal operator can be …

[หนังสือ][B] Meshfree methods: moving beyond the finite element method

GR Liu - 2009 - taylorfrancis.com
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

[หนังสือ][B] Computational fluid dynamics: a practical approach

J Tu, GH Yeoh, C Liu, Y Tao - 2023 - books.google.com
Computational Fluid Dynamics: A Practical Approach, Fourth Edition is an introduction to
computational fluid dynamics (CFD) fundamentals and commercial CFD software to solve …

[หนังสือ][B] Meshfree approximation methods with Matlab (With Cd-rom)

GE Fasshauer - 2007 - books.google.com
Meshfree approximation methods are a relatively new area of research, and there are only a
few books covering it at present. Whereas other works focus almost entirely on theoretical …

[หนังสือ][B] Kernel-based approximation methods using Matlab

GE Fasshauer, MJ McCourt - 2015 - books.google.com
In an attempt to introduce application scientists and graduate students to the exciting topic of
positive definite kernels and radial basis functions, this book presents modern theoretical …