Eighty years of the finite element method: Birth, evolution, and future
This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …
element methods (FEM) since 1941, with a specific emphasis on developments related to …
Meshless methods: a review and computer implementation aspects
The aim of this manuscript is to give a practical overview of meshless methods (for solid
mechanics) based on global weak forms through a simple and well-structured MATLAB …
mechanics) based on global weak forms through a simple and well-structured MATLAB …
[BOOK][B] Smoothed particle hydrodynamics: a meshfree particle method
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 …
2 Page 3 1 Smoothed Particle Hydrodynamics a meshfree particle method This One …
A new class of accurate, mesh-free hydrodynamic simulation methods
PF Hopkins - Monthly Notices of the Royal Astronomical Society, 2015 - academic.oup.com
We present two new Lagrangian methods for hydrodynamics, in a systematic comparison
with moving-mesh, smoothed particle hydrodynamics (SPH), and stationary (non-moving) …
with moving-mesh, smoothed particle hydrodynamics (SPH), and stationary (non-moving) …
[BOOK][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 …
WorkReflecting the significant advances made in the field since the publication of its …
[BOOK][B] An introduction to meshfree methods and their programming
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 …
centuries. The FDM works well for problems of simple geometry and was widely used before …
A stabilized conforming nodal integration for Galerkin mesh‐free methods
Abstract Domain integration by Gauss quadrature in the Galerkin mesh‐free methods adds
considerable complexity to solution procedures. Direct nodal integration, on the other hand …
considerable complexity to solution procedures. Direct nodal integration, on the other hand …
A point interpolation meshless method based on radial basis functions
A point interpolation meshless method is proposed based on combining radial and
polynomial basis functions. Involvement of radial basis functions overcomes possible …
polynomial basis functions. Involvement of radial basis functions overcomes possible …
Meshfree methods: progress made after 20 years
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 …
methods with considerable success. In addition, a significant amount of progress has been …
Meshfree and particle methods and their applications
Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …