Numerical Solution of PDEs (L.6) (G5217)
Numerical Solution of Partial Differential Equations (L.6)
Module G5217
Module details for 2023/24.
15 credits
FHEQ Level 6
Module Outline
Topics covered include: variational formulation of boundary value problems; function spaces; abstract variational problems; Lax-Milgram Theorem; Galerkin method; finite element method; examples of finite elements; and 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
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T2 Week 3 | 10.00% |
| Problem Set | T2 Week 5 | 10.00% |
| Problem Set | T2 Week 10 | 10.00% |
| Portfolio | T2 Week 11 | 30.00% |
| Project | T2 Week 11 | 40.00% |
| Unseen Examination | Semester 2 Assessment | 80.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Spring Semester | Lecture | 2 hours | 11111111111 |
| Spring Semester | Lecture | 1 hour | 11111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Chandrasekhar Venkataraman
Assess convenor, Convenor
/profiles/203407
Please note that the University will use all reasonable endeavours to deliver courses and modules in accordance with the descriptions set out here. However, the University keeps its courses and modules under review with the aim of enhancing quality. Some changes may therefore be made to the form or content of courses or modules shown as part of the normal process of curriculum management.
The University reserves the right to make changes to the contents or methods of delivery of, or to discontinue, merge or combine modules, if such action is reasonably considered necessary by the University. If there are not sufficient student numbers to make a module viable, the University reserves the right to cancel such a module. If the University withdraws or discontinues a module, it will use its reasonable endeavours to provide a suitable alternative module.