An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability
AHD Cheng, Y Hong - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
Computational methods for fracture in brittle and quasi‐brittle solids: state‐of‐the‐art review and future perspectives
T Rabczuk - International Scholarly Research Notices, 2013 - Wiley Online Library
An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …
[LIBRO][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 …
[LIBRO][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 …
[LIBRO][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 …
[LIBRO][B] Smoothed finite element methods
Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …
framework and development of various S-FEM models. It discusses the overall modeling …
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 …
A local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids
A local radial point interpolation method (LRPIM) is presented to deal with boundary-value
problems for free vibration analyses of two-dimensional solids. Local weak forms are …
problems for free vibration analyses of two-dimensional solids. Local weak forms are …
A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials
We review the methods available for large deformation simulations of geomaterials before
presenting a Lagrangian integration point finite element method designed specifically to …
presenting a Lagrangian integration point finite element method designed specifically to …
A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods
GR Liu - International Journal of Computational Methods, 2008 - World Scientific
This paper presents a generalized gradient smoothing technique, the corresponding
smoothed bilinear forms, and the smoothed Galerkin weakform that is applicable to create a …
smoothed bilinear forms, and the smoothed Galerkin weakform that is applicable to create a …