Mathematics
Numerical Solution of Partial Differential Equations (L.6)
Module code: G5217
Level 6
15 credits in spring semester
Teaching method: Lecture
Assessment modes: Coursework, Unseen examination
In this module, you will learn about:
- the variational formulation of boundary value problems,
- Sobolev spaces,
- abstract variational problems
- the Lax-Milgram Lemma
- the Galerkin method
- the finite element method
- elementary approximation theory
- error analysis.
Module learning outcomes
- Gain fundamental understanding of the rationale and construction of finite element spaces;
- Demonstrate an elementary understanding of functional spaces and approximation theory;
- Demonstrate a knowledge of the basic ideas underlying discretization of partial differential equations using finite element methods;
- Analyse simple second order elliptic problems and derive error estimates for their numerical approximation