Meshless approximations based on moving least-squares, kernels, and partitions of unity
are examined. It is shown that the three methods are in most cases identical except for the …

Explicit finite element and finite difference methods are used to solve a wide variety of
transient problems in industry and academia. Unfortunately, explicit methods are rarely …

The aim of the present chapter is to provide an in‐depth survey of arbitrary Lagrangian–
Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical …

Large deformation analysis of non-linear elastic and inelastic structures based on
Reproducing Kernel Particle Methods (RKPM) is presented. The method requires no explicit …

New finite element computational strategies for free-surface flows, two-liquid flows, and
flows with drifting cylinders are presented. These strategies are based on the deforming …

Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …

SUMMARY A practical method is presented for numerical analysis of problems in solid (in
particular soil) mechanics which involve large strains or deformations. The method is similar …

A Lagrangian finite element model of orthogonal high‐speed machining is developed.
Continuous remeshing and adaptive meshing are the principal tools which we employ for …

A computational procedure is developed to solve the problems of coupled motion of a rigid
body and a viscous incompressible fluid; the former is mounted on elastic springs, and the …