Enroll Course: https://www.coursera.org/learn/finite-element-method
If you’re looking to deepen your understanding of physics and engineering through computational methods, I highly recommend the course “The Finite Element Method for Problems in Physics” available on Coursera. This course serves as an excellent introduction to the finite element method (FEM), a powerful technique used to solve complex problems in various fields, including physics and engineering.
### Course Overview
The course spans approximately 45 hours of lectures, structured to mirror an introductory graduate class at a university. It is designed for those who have a basic understanding of mathematics and programming, as it delves into the mathematical formulations of FEM while emphasizing practical coding skills in a modern, open-source environment.
### Syllabus Breakdown
The syllabus is thoughtfully organized into 13 units, each building on the previous one:
1. **Introduction to One-Dimensional Problems**: Start with the basics of FEM applied to simple one-dimensional problems.
2. **Weak Formulation**: Learn about the approximate, finite-dimensional weak form for one-dimensional problems.
3. **Matrix-Vector Form**: Transition to writing the weak form in matrix-vector form and get introduced to coding in the deal.ii framework.
4. **Boundary Conditions and Higher-Order Functions**: Explore boundary conditions, higher-order basis functions, and numerical quadrature.
5. **Mathematical Analysis**: Delve into the mathematical analysis of the finite element method.
6. **Alternate Derivation**: Discover an alternate derivation of the weak form applicable to specific physical problems.
7. **Three-Dimensional Scalar Problems**: Expand your knowledge to three-dimensional scalar problems like heat conduction.
8. **Basis Functions and Coding Assignments**: Complete details on three-dimensional formulations and coding assignments.
9. **Two-Dimensional Formulation**: Study the two-dimensional formulation for scalar problems.
10. **Linearized Elasticity**: Learn about three-dimensional linearized elasticity at steady state.
11. **Unsteady Problems**: Investigate unsteady heat conduction and mass diffusion problems.
12. **Elastodynamics**: Understand the finite element formulation for elastodynamics.
13. **Wrap-Up and Future Study**: Conclude with suggestions for further study.
### Why You Should Enroll
This course is not just about theory; it emphasizes practical application through coding, which is essential for anyone looking to apply FEM in real-world scenarios. The use of the deal.ii framework allows for flexibility and expansion into other applications, making this course a valuable investment in your education.
Whether you’re a student, a professional looking to upskill, or simply someone interested in the intersection of physics and engineering, this course will equip you with the knowledge and skills to tackle complex problems using the finite element method.
### Conclusion
In summary, “The Finite Element Method for Problems in Physics” is a comprehensive course that balances mathematical rigor with practical coding experience. I highly recommend it for anyone eager to explore the fascinating world of computational physics and engineering.
### Tags
1. Finite Element Method
2. Physics
3. Engineering
4. Coursera
5. Online Learning
6. Computational Methods
7. Coding
8. deal.ii
9. Graduate Course
10. Mathematics
### Topic
Finite Element Analysis
Enroll Course: https://www.coursera.org/learn/finite-element-method