WELCOME ALL !!
Dr Airil Yasreen Mohd Yassin is offering a free online Finite Element Method (FEM) course designed to build strong foundations in numerical methods and computational mechanics. Starting on 3 June, classes will be held every Wednesday, 9:00–11:00 PM, over approximately 12 weeks. The course begins from first principles, making it suitable for beginners, and follows the team’s FEM textbooks. It also provides a pathway to more advanced topics, including meshless methods, NURBS, and the Numerical Derivation Method (NDM).
1️⃣ For those who have not registered yet
Please complete your registration using the following link:
[https://forms.gle/ArsRx4a35TpcSkum7]
2️⃣ Join the WhatsApp Group
Please join the WhatsApp group for updates and discussions using the following link:
[https://chat.whatsapp.com/DqS4h7eJdVJ8LazYPR4sM5?s=cl&p=i&ilr=4]
3️⃣ Download the Red Book & Blue Book
The PDF books can be downloaded from the following link:
[https://github.com/msnm-official/fem_books]
WEEK 01
Introduction to numerical methods
03 JUNE 2026
We have learned the basics of numerical methods and their application in solving mechanics problems governed by differential equations. Since computers and programming languages primarily operate with matrix systems, these governing equations must be transformed into matrix form. This can be achieved using methods such as the collocation method and the weighted residual method. The collocation method satisfies the governing equation at specific points, whereas the weighted residual method minimizes the overall error across the domain. As a result, the weighted residual method is less likely to overlook local regions with high gradients within the domain, leading to improved accuracy and a more representative solution.
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WEEK 02
Galerkin WRM approach & FEM
10 JUNE 2026
We successfully learned the Galerkin Weighted Residual Method (WRM) and its application in the Finite Element Method (FEM). The session emphasized the derivation of the weak form through integration by parts (IBP), where natural boundary conditions appear naturally within the formulation. We also explored the importance of the Kronecker delta property of finite element shape functions, which allows essential boundary conditions to be imposed directly. In addition, we studied the formulation of elemental equations and their assembly into a global system, providing a strong foundation for accurate and efficient numerical solutions to engineering problems.
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WEEK 03
FEM for Beam Element
WILL BE ON 17 JUNE 2026
Next, we will extend our finite element formulation beyond the linear bar element by introducing higher-order (quadratic) approximations and examining their effect on solution accuracy. We will then build on these concepts to formulate beam elements, incorporating both displacement and rotational degrees of freedom. This progression will provide a deeper understanding of element behavior, interpolation functions, and the analysis of structures subjected to axial and bending deformations…
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Note (Week 03)
Recorded Video (Part 1)
Recorded Video (Part 2)