ABSTRACT

A comprehensive introduction to meshless methods, this book gives complete mathematical formulations for the most important and classical methods, as well as several recently developed by the authors. It also offers a rigorous mathematical treatment of their numerical properties-including consistency, convergence, stability, and adaptivity-to help you choose the method that is best for your needs. The book contains several examples of engineering applications, including the nonlinear fluid-structure analysis of near-bed submarine pipelines and the two-dimensional multiphysics simulation of pH-sensitive hydrogels.

chapter 1|4 pages

- Introduction

chapter 3|92 pages

- Recent developments of meshless methods

chapter 4|68 pages

- Convergence and consistency analyses

chapter 5|42 pages

- Stability analyses

chapter 6|40 pages

- Adaptive analysis

chapter 7|72 pages

- Engineering applications