Meshfree and Particle Methods
Fundamentals and Applications
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Meshfree and Particle Methods
Fundamentals and Applications
About this book
Meshfree and Particle Methods
Provides thorough coverage of essential concepts and state-of-the-art developments in the field
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. This authoritative resource:
- Explains the fundamentals of meshfree methods, their constructions, and their unique capabilities as compared to traditional methods
- Features an overview of the open-source meshfree code RKPM2D, including code and numerical examples
- Describes all the variational concepts required to solve scientific and engineering problems using meshfree methods such as Nitsche's method and the Lagrange multiplier method
- Includes comprehensive reviews of essential boundary condition enforcement, quadrature in meshfree methods, and nonlinear aspects of meshfree analysis
- Discusses other Galerkin meshfree methods, strong form meshfree methods, and their comparisons
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.
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Information
Table of contents
- Cover
- Table of Contents
- Title Page
- Copyright Page
- Preface
- Glossary of Notation
- 1 Introduction to Meshfree and Particle Methods
- 2 Preliminaries: Strong and Weak Forms of Diffusion, Elasticity, and Solid Continua
- 3 Meshfree Approximations
- 4 Solving PDEs with Galerkin Meshfree Methods
- 5 Construction of Kinematically Admissible Shape Functions
- 6 Quadrature in Meshfree Methods
- 7 Nonlinear Meshfree Methods
- 8 Other Galerkin Meshfree Methods
- 9 Strong Form Collocation Meshfree Methods
- 10 RKPM2D: A Two‐Dimensional Implementation of RKPM
- Index
- End User License Agreement