This paper presents a summary of various localized collocation schemes and their
engineering applications. The basic concepts of localized collocation methods (LCMs) are …

This paper applies the meshless generalized finite difference method (GFDM) to analyze the
subsurface flow problem in anisotropic formations for the first time, and develops the …

This paper makes the first attempt to apply newly developed upwind GFDM for the meshless
solution of two-phase porous flow equations. In the presented method, node cloud is used to …

In this study, the generalized finite difference method (GFDM) was used to stably and
accurately solve two-dimensional (2D) inverse Cauchy problems in linear elasticity by using …

This article presents a two-dimensional finite difference method (FDM) to solve the model of
magnetohydrodynamics (MHD) duct flow of an incompressible fluid in a rectangular duct …

This paper achieves effective and precise meshless modeling of three-dimensional (3D)
single-phase coupled heat and mass transfer problems based on the generalized finite …

In this paper, a novel meshless method that can handle porous flow problems with singular
source terms is developed by virtually constructing node control domains. By defining a …

In this paper, an upwind GFDM is developed for coupled heat and mass transfer problems in
porous media. GFDM is a meshless method that can obtain the difference schemes of …

This paper applies GFDM to analyze coupled two-phase flow and geomechanics for the first
time, to our knowledge, is also the first meshless solver for two-phase fluid-solid coupling …

In this paper, the generalized finite difference method (GFDM) combined with the Newton–
Raphson method is proposed to accurately and efficiently simulate the steady-state double …