An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

Soon after the discovery of carbon nanotubes, it was realized that the theoretically predicted
mechanical properties of these interesting structures–including high strength, high stiffness …

扩展有限元法(extended finite element method, XFEM) 是1999 年提出的一种求解不连续力学
问题的数值方法, 它继承了常规有限元法(CFEM) 的所有优点, 在模拟界面, 裂纹生长 …

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 …

This important textbook provides an introduction to the concepts of the newly developed
extended finite element method (XFEM) for fracture analysis of structures, as well as for …

The extended finite element method (X-FEM) is a numerical method for modeling strong
(displacement) as well as weak (strain) discontinuities within a standard finite element …

Nanotechnology, science, and engineering spearhead the 21st century revolution that is
leading to fundamental breakthroughs in the way materials, devices, and systems are …

In the present paper we introduce a Virtual Element Method (VEM) for the approximate
solution of general linear second order elliptic problems in mixed form, allowing for variable …

An enriched finite element method for the multi‐dimensional Stefan problems is presented.
In this method the standard finite element basis is enriched with a discontinuity in the …