In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …

In the finite element method (FEM), a necessary condition for a four-node isoparametric
element is that no interior angle is greater than 180° and the positivity of Jacobian …

This paper presents an edge-based smoothed finite element method (ES-FEM) to
significantly improve the accuracy of the finite element method (FEM) without much …

This paper presents a node-based smoothed finite element method (NS-FEM) for upper
bound solutions to solid mechanics problems using a mesh of polygonal elements. The …

In this paper, conforming finite elements on polygon meshes are developed. Polygonal finite
elements provide greater flexibility in mesh generation and are better‐suited for applications …

This paper examines the theoretical bases for the smoothed finite element method (SFEM),
which was formulated by incorporating cell‐wise strain smoothing operation into standard …

Convergent and stable domain integration that is also computationally efficient remains a
challenge for Galerkin meshfree methods. High order quadrature can achieve stability and …

Because most approximation functions employed in meshfree methods are rational
functions with overlap** supports, sufficiently accurate domain integration becomes costly …

This paper presents a novel face‐based smoothed finite element method (FS‐FEM) to
improve the accuracy of the finite element method (FEM) for three‐dimensional (3D) …