Numerical Solution of PDEs (L.7) (845G1)
Numerical Solution of Partial Differential Equations (L.7)
Module 845G1
Module details for 2023/24.
15 credits
FHEQ Level 7 (Masters)
Module Outline
Variational formulation of boundary value problems; function spaces; abstract variational problems; Lax-Milgram Lemma; Galerkin method; finite element method; elementary approximation; error analysis.
Module learning outcomes
Comprehensively understand how to discretize partial differential equations using the finite element methods;
Systematically understand elementary concepts of functional spaces and approximation theory;
Comprehensively understand the rationale and construction of finite element spaces;
Systemmatically analyse second order elliptic problems and derive error estimates.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T2 Week 5 | 10.00% |
| Problem Set | T2 Week 3 | 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 | 1 hour | 11111111111 |
| Spring Semester | Lecture | 2 hours | 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
Convenor, Assess convenor
/profiles/203407
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