Meshless EFG Method for Solving 2D Elastic Plate Problems

This MATLAB source code implements a meshless Element-Free Galerkin (EFG) method for solving 2D elastic plate problems. Meshless methods are numerical techniques for mathematical model solving that offer advantages over traditional finite element methods, particularly for unstructured grids and complex geometries. The program is written in MATLAB and designed to help beginners develop a deep understanding of fundamental meshless method concepts through practical implementation.

The code structure includes the following key components:

1. Introduction to EFG Fundamentals - Covers moving least squares approximation, shape function construction, and essential mathematical formulations

2. 2D Elastic Plate Model Setup - Implements boundary condition handling, material property definition, and domain discretization using nodal points rather than predefined elements

3. Meshless EFG Program Implementation - Features Galerkin weak form discretization, stiffness matrix assembly, and solution procedures for elasticity equations

4. Result Analysis and Discussion - Includes displacement field visualization, stress calculation, and accuracy verification methods

By studying this program, you will gain expertise in:

- Understanding the core principles of meshless methods and their advantages over traditional approaches

- Mastering MATLAB implementation techniques for EFG programs, including nodal interaction handling and numerical integration

- Familiarizing with 2D elastic plate modeling approaches using meshless frameworks

- Learning to analyze and interpret program results through proper validation and error assessment techniques

This program aims to enhance your understanding of meshless methods and improve your mathematical modeling capabilities through hands-on coding experience.