[BOOK][B] An introduction to meshfree methods and their programming

GR Liu, YT Gu - 2005 - books.google.com
The finite difference method (FDM) hasbeen used tosolve differential equation systems for
centuries. The FDM works well for problems of simple geometry and was widely used before …

The element free Galerkin method for dynamic propagation of arbitrary 3‐D cracks

P Krysl, T Belytschko - International Journal for Numerical …, 1999 - Wiley Online Library
A technique for modelling of arbitrary three‐dimensional dynamically propagating cracks in
elastic bodies by the Element‐Free Galerkin (EFG) method with explicit time integration is …

Computational monitoring in real time: review of methods and applications

AV Dyskin, H Basarir, J Doherty, M Elchalakani… - … and Geophysics for Geo …, 2018 - Springer
Continuous monitoring of mechanical parameters determining the state of natural and man-
made systems is essential in a wide range of engineering disciplines from mechanical to …

A mesh-free method for static and free vibration analyses of thin plates of complicated shape

GR Liu, XL Chen - Journal of sound and vibration, 2001 - Elsevier
A mesh-free method is presented to analyze the static deflection and the natural frequencies
of thin plates of complicated shape. The present method uses moving least-squares (MLS) …

Meshfree methods and their comparisons

YT Gu - International Journal of Computational Methods, 2005 - World Scientific
In recent years, one of the hottest topics in computational mechanics is the meshfree or
meshless method. Increasing number of researchers are devoting themselves to the …

Quantity and distribution of levator ani stretch during simulated vaginal childbirth

L Hoyte, MS Damaser, SK Warfield… - American journal of …, 2008 - Elsevier
OBJECTIVE: The objective of the study was to develop a model of the female pelvic floor to
study levator stretch during simulated childbirth. STUDY DESIGN: Magnetic resonance data …

Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problems

TH Huang - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Meshfree methods such as reproducing kernel (RK) approximation are suitable for modeling
fluid flow problems because of their flexibility in controlling local smoothness and order of …

A meshless local Kriging method for large deformation analyses

YT Gu, QX Wang, KY Lam - Computer Methods in Applied Mechanics and …, 2007 - Elsevier
In this paper, a well-developed meshless numerical technique, local Kriging (LoKriging)
method, is used to develop the LoKriging formulation for the large deformation problems …

A three-dimensional sharp interface Cartesian grid method for solving high speed multi-material impact, penetration and fragmentation problems

A Kapahi, S Sambasivan, HS Udaykumar - Journal of Computational …, 2013 - Elsevier
This work presents a three-dimensional, Eulerian, sharp interface, Cartesian grid technique
for simulating the response of elasto-plastic solid materials to hypervelocity impact, shocks …

Element‐free Galerkin method for contact problems in metal forming analysis

G Li, T Belytschko - Engineering Computations, 2001 - emerald.com
The total Lagrangian formulation and implementation of the element‐free Galerkin method
(EFG) is presented for the analysis of contact‐impact problems with large deformations and …