Introduction
The goal of this course is to familiarize students with advanced and modern methods of analysis without meshes for solving complex engineering problems. The official syllabus of this course in persian can be downloaded here.
Key Topics
- Historical overview of meshfree methods
- Approximation functions techniques
- Element-Free Galerkin (EFG) method
- Weak forms based on PIM, RPIM, and RPPIM
- Meshless Local Petrov-Galerkin (MLPG) method
- Discrete Least Squares Meshless Method (DLSM)
- Smoothed Particle Hydrodynamics (SPH)
- Extended Finite Element Method (XFEM)
Teaching Methods
The course will use a combination of lectures with slides, interactive Q&A sessions, and practical exercises in class. Real-world applications will be discussed to enhance understanding.
Evaluation
- Continuous assessment: 35%
- Final written/oral exam: 35%
- Project work: 30%
Resources
- Smoothed Particle Hydrodynamics by G. R. Liu and M. B. Liu, 2003
- The Meshless Local Petrov-Galerkin Method by S. N. Atluri and S. Shen, 2004
- An Introduction to Meshless Methods and Their Programming by G. R. Liu and Y. T. Gu, 2005
- Extended Finite Element Method: For Fracture Analysis of Structures by Soheil Mohammadi, 2008
- Extended Finite Element Method: Theory and Applications by Amir R. Khoei, 2015
Additional Considerations
The course can be conducted in a blended format (online and in-person) if necessary.