Meshless Methods and Their Numerical Properties

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.