Terminated in academic year 2024/2025
Variational Methods for Engineers
| Type of study | Doctoral |
|---|---|
| Language of instruction | English |
| Code | 470-6102/02 |
| Abbreviation | VM |
| Course title | Variational Methods for Engineers |
| Credits | 10 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | prof. RNDr. Jiří Bouchala, Ph.D. |
Subject syllabus
1. Lebesgue integral.
2. Lebesgue spaces L^p(Omega).
3. Lipschitz domains.
4. Distributions.
5. Sobolev spaces.
6. The Trace Theorem.
7. Weak solutions of BVP.
8. Existence and uniqueness of weak solutions.
9. Regularity.
10. Energy functional.
11. Spectrum.
12. Methods od discretisation.
2. Lebesgue spaces L^p(Omega).
3. Lipschitz domains.
4. Distributions.
5. Sobolev spaces.
6. The Trace Theorem.
7. Weak solutions of BVP.
8. Existence and uniqueness of weak solutions.
9. Regularity.
10. Energy functional.
11. Spectrum.
12. Methods od discretisation.
E-learning
Consultation through MS Teams.
Literature
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.
Advised literature
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer-Verlag, New York, 1993.