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 …

Meshless methods: an overview and recent developments

T Belytschko, Y Krongauz, D Organ, M Fleming… - Computer methods in …, 1996 - Elsevier
Meshless approximations based on moving least-squares, kernels, and partitions of unity
are examined. It is shown that the three methods are in most cases identical except for the …

[图书][B] 无网格法

张雄, 刘岩 - 2004 - books.google.com
Page 1 张雄刘岩著 Zhang Xiong Liu Yan 无网格法 Meshless Methods FONDNIS HUA UNIV
清华大学出版社 Springer Page 2 Page 3 Page 4 Page 5 作者简介 张雄,1992年于大连理工大学 …

Physics-informed graph neural Galerkin networks: A unified framework for solving PDE-governed forward and inverse problems

H Gao, MJ Zahr, JX Wang - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
Despite the great promise of the physics-informed neural networks (PINNs) in solving
forward and inverse problems, several technical challenges are present as roadblocks for …

[HTML][HTML] 无网格法的理论及应用

张雄, 刘岩, 马上 - 力学进展, 2009 - lxjz.cstam.org.cn
详细论述了近年来迅速发展的无网格法的理论基础及其在各个领域内的应用.
无网格法网格依赖性弱, 避免了传统的有限元, 边界元等基于网格的数值方法中可能出现的网格 …

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 …

[图书][B] Meshfree Approximation Methods with MATLAB

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 …

[图书][B] Finite element methods for flow problems

J Donea, A Huerta - 2003 - books.google.com
In recent years there have been significant developments in the development of stable and
accurate finite element procedures for the numerical approximation of a wide range of fluid …

A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering

L Jing - International Journal of Rock Mechanics and Mining …, 2003 - Elsevier
The purpose of this review paper is to present the techniques, advances, problems and
likely future developments in numerical modelling for rock mechanics. Such modelling is …

Nonlocal integral formulations of plasticity and damage: survey of progress

ZP Bažant, M Jirásek - Journal of engineering mechanics, 2002 - ascelibrary.org
Modeling of the evolution of distributed damage such as microcracking, void formation, and
softening frictional slip necessitates strain-softening constitutive models. The nonlocal …