Textbook in PDF format

Meshfree and Particle Methods is the first book of its kind to combine comprehensive, up-to-date information on the fundamental theories and applications of meshfree methods with systematic guidance on practical coding implementation. Broad in scope and content, this unique volume provides readers with the knowledge necessary to perform research and solve challenging problems in nearly all fields of science and engineering using meshfree computational techniques.The authors provide detailed descriptions of essential issues in meshfree methods, as well as specific techniques to address them, while discussing a wide range of subjects and use cases. Topics include approximations in meshfree methods, nonlinear meshfree methods, essential boundary condition enforcement, quadrature in meshfree methods, strong form collocation methods, and more. Throughout the book, topics are integrated with descriptions of computer implementation and an open-source code (with a dedicated chapter for users) to illustrate the connection between the formulations discussed in the text and their real-world implementation and application. Meshfree and Particle Methods: Fundamentals and Applications is the perfect introduction to meshfree methods for upper-level students in advanced numerical analysis courses, and is an invaluable reference for professionals in mechanical, aerospace, civil, and structural engineering, and related fields, who want to understand and apply these concepts directly, or effectively use commercial and other production meshfree and particle codes in their work.
Introduction to Meshfree and Particle Methods
Preliminaries: Strong and Weak Forms of Diffusion, Elasticity, and Solid Continua
Meshfree Approximations
Solving PDEs with Galerkin Meshfree Methods
Construction of Kinematically Admissible Shape Functions
Quadrature in Meshfree Methods
Nonlinear Meshfree Methods
Other Galerkin Meshfree Methods
Strong Form Collocation Meshfree Methods
RKPM2D: A Two‐Dimensional Implementation of RKPM