The concise review systematically summarises the state-of-the-art variants of Moving Least
Squares (MLS) method. MLS method is a mathematical tool which could render cogent …

An efficient adaptive phase-field method based on bilinear elements for tensile-compressive-
shear fracture is developed. On the one hand, refined meshes are needed near the crack …

Accurate estimation of the state-of-charge (SOC) is of extreme importance for the reliability
and safety of lithium-ion battery operation, for prevention of overcharge, deep discharge …

In this paper, we present a meshless method belonging to the family of element-free
Galerkin (EFG) methods. The presented meshless method allows accurate enforcement of …

The “background” is an essential index for identifying anthropogenic inputs and potential
ecological risks of soil heavy metals. However, the lithology of bedrock can cause significant …

By introducing the dimension splitting (DS) method into the moving least-squares (MLS)
approximation, a dimension splitting moving least-squares (DS-MLS) method is proposed in …

Driving behaviors, induced by psychological activities and environment stimulation, impose
the dominant impact on vehicle driving performance. To exhaustively improve the …

The improved interpolating moving least-square (IIMLS) method has been widely used in
data fitting and meshfree methods, and the obtained shape functions have the property of …

In this paper, a new method for the simulation of evolving multi-domains problems will be
presented. The method is inspired by the front-tracking approaches where only the …

The moving least-squares (MLS) and moving total least-squares (MTLS) methods have
been widely used for fitting measurement data. They can be used to achieve good …