Sustainable and resilient pavement infrastructure is critical for current economic and
environmental challenges. In the past 10 years, the pavement infrastructure strongly …

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

详细论述了近年来迅速发展的无网格法的理论基础及其在各个领域内的应用.
无网格法网格依赖性弱, 避免了传统的有限元, 边界元等基于网格的数值方法中可能出现的网格 …

The paper presents the basic ideas and the mathematical foundation of the partition of unity
finite element method (PUFEM). We will show how the PUFEM can be used to employ the …

A new finite element method is presented that features the ability to include in the finite
element space knowledge about the partial differential equation being solved. This new …

In this paper, we study a multiscale finite element method for solving a class of elliptic
problems arising from composite materials and flows in porous media, which contain many …

The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

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 …

Abstract Domain integration by Gauss quadrature in the Galerkin mesh‐free methods adds
considerable complexity to solution procedures. Direct nodal integration, on the other hand …

The extended and generalized finite element methods are reviewed with an emphasis on
their applications to problems in material science:(1) fracture,(2) dislocations,(3) grain …