An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids

GR Liu, T Nguyen-Thoi, KY Lam - Journal of Sound and Vibration, 2009 - Elsevier
This paper presents an edge-based smoothed finite element method (ES-FEM) to significantly
improve the accuracy of the finite element method (FEM) without much changing to the …

有限要素法による飽和-不飽和浸透流の解析

赤井浩一, 大西有三, 西垣誠 - 土木学会論文報告集, 1977 - jlc.jst.go.jp
… 水頭が急激に変化する領域に対応でき るように要素の形状 と大きさを場所によって任意に変え る
… 限要素による多くの浸透解析の研究報告1)∼4)が なされている. しかし,従 来の有限要素による…

Free-surface flow interactions with deformable structures using an SPH–FEM model

Q Yang, V Jones, L McCue - Ocean engineering, 2012 - Elsevier
A two-dimensional SPH–FEM model is proposed to investigate its application in the fluid–structure
interaction (FSI) problem. The fluid model is based on the theory of Smoothed Particle …

Smoothed finite element methods (S-FEM): an overview and recent developments

W Zeng, GR Liu - Archives of Computational Methods in Engineering, 2018 - Springer
The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

Performance and accuracy of hardware-oriented native-, emulated-and mixed-precision solvers in FEM simulations

D Göddeke, R Strzodka, S Turek - International Journal of Parallel …, 2007 - Taylor & Francis
In this survey paper, we compare native double precision solvers with emulated- and mixed-precision
solvers of linear systems of equations as they typically arise in finite element …

An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates

H Nguyen-Xuan, GR Liu, CA Thai-Hoang… - Computer Methods in …, 2010 - Elsevier
An edge-based smoothed finite element method (ES-FEM) for static, free vibration and buckling
analyses of Reissner–Mindlin plates using 3-node triangular elements is studied in this …

Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?

IM Babuska, SA Sauter - SIAM Journal on numerical analysis, 1997 - SIAM
The development of numerical methods for solving the Helmholtz equation, which behaves
robustly with respect to the wave number, is a topic of vivid research. It was observed that the …

Violent fluid-structure interaction simulations using a coupled SPH/FEM method

G Fourey, G Oger, D Le Touzé… - IOP conference series …, 2010 - iopscience.iop.org
The Smoothed Particle Hydrodynamics (SPH) method presents different key assets for modelling
violent Fluid-Structure Interactions (FSI). First, this method is a meshless method, which …

Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions

A Deraemaeker, I Babuška… - International journal for …, 1999 - Wiley Online Library
For high wave numbers, the Helmholtz equation suffers the so‐called ‘pollution effect’. This
effect is directly related to the dispersion. A method to measure the dispersion on any …

A face‐based smoothed finite element method (FS‐FEM) for 3D linear and geometrically non‐linear solid mechanics problems using 4‐node tetrahedral elements

T Nguyen‐Thoi, GR Liu, KY Lam… - International journal for …, 2009 - Wiley Online Library
This paper presents a novel face‐based smoothed finite element method (FS‐FEM) to
improve the accuracy of the finite element method (FEM) for three‐dimensional (3D) problems. …