J.Z. Zhu

TL;DR: The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications.

TL;DR: This chapter focuses on the automatic mesh generation methods based on the advancing front method and the Delaunay triangulation method, which are the basis of many existing mesh generation programs and the basis for current research.

TL;DR: The discrete element method as mentioned in this paper is a simulation method suitable for a simulation of dynamic behavior of systems of multiple rigid, simply deformable or fully deformable separated bodies of simplified or arbitrary shapes, subject to continuous changes in the contact stares, and varying contact forces, which in turn influence the subsequent movement of the bodies.

TL;DR: In this paper, the authors present a view of the finite element method as a general discretization procedure of continuous problems posed by mathematically defined statements, and establish the processes applicable to such systems.

TL;DR: In this article, the development of the element shape functions for two and three dimensional applications is discussed, including triangles and quadrilaterals for two dimensional problems and tetrahedra, bricks, wedges and pyramids for three dimensional problems.