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 …
Implementation of different types of meshfree technique in computational solid mechanics: a comprehensive review across nano, micro, and macro scales
This work is considered as the first comprehensive review, that covers all types of meshfree
method including the traditional or developed meshless techniques that have been …
method including the traditional or developed meshless techniques that have been …
A meshfree approach using naturally stabilized nodal integration for multilayer FG GPLRC complicated plate structures
CH Thai, P Phung-Van - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this study, a meshfree approach using a naturally stabilized nodal integration (NSNI)
integrated with a higher-order shear deformation theory (HSDT) for free vibration analysis of …
integrated with a higher-order shear deformation theory (HSDT) for free vibration analysis of …
Two-phase PFEM with stable nodal integration for large deformation hydromechanical coupled geotechnical problems
YF Jin, ZY Yin - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
The node-based strain smoothed particle finite element method (NS-PFEM) has a high level
of computational efficiency. However, it has not yet been extended to hydromechanical …
of computational efficiency. However, it has not yet been extended to hydromechanical …
A stable node-based smoothed PFEM for solving geotechnical large deformation 2D problems
YF Jin, ZY Yin, XW Zhou, FT Liu - Computer Methods in Applied Mechanics …, 2021 - Elsevier
The strain smoothed nodal integration particle finite element method (NS-PFEM) has a high
level of computational efficiency. However, it suffers from the 'overly soft'problem. This study …
level of computational efficiency. However, it suffers from the 'overly soft'problem. This study …
An accuracy analysis of Galerkin meshfree methods accounting for numerical integration
J Wu, D Wang - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
Presently, it has been widely recognized that numerical integration plays a crucial role on
the solution accuracy of Galerkin meshfree methods due to the rational nature of meshfree …
the solution accuracy of Galerkin meshfree methods due to the rational nature of meshfree …
Superconvergent gradient smoothing meshfree collocation method
A superconvergent meshfree collocation method with smoothed nodal gradients is
presented. In this method, the first order smoothed gradients of meshfree shape function are …
presented. In this method, the first order smoothed gradients of meshfree shape function are …
A truly meshfree method for solving acoustic problems using local weak form and radial basis functions
X You, W Li, Y Chai - Applied Mathematics and Computation, 2020 - Elsevier
It has been known that numerical solutions to Helmholtz problems obtained using several
numerical methodologies (eg finite element approach) are always plagued by the pollution …
numerical methodologies (eg finite element approach) are always plagued by the pollution …
A temporal stable smoothed particle finite element method for large deformation problems in geomechanics
In this study, a stabilized smoothed particle finite element method (SPFEM) for modeling
nonlinear, large deformation dynamic problems in geomechanics is presented. The …
nonlinear, large deformation dynamic problems in geomechanics is presented. The …
Upwind reproducing kernel collocation method for convection-dominated problems
Because of the best approximation property, traditional Bubnov–Galerkin numerical
methods have proven immensely successful in modeling self-adjoint problems, such as heat …
methods have proven immensely successful in modeling self-adjoint problems, such as heat …