MA30170: Numerical solution of elliptic PDEs
[Page last updated: 15 October 2020]
Academic Year: | 2020/1 |
Owning Department/School: | Department of Mathematical Sciences |
Credits: | 6 [equivalent to 12 CATS credits] |
Notional Study Hours: | 120 |
Level: | Honours (FHEQ level 6) |
Period: |
- Semester 2
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Assessment Summary: | CW 25%, EX 75% |
Assessment Detail: |
- Coursework (CW 25%)
- Examination (EX 75%)
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Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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Requisites: |
Before taking this module you must take MA20222 AND take MA20223
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Description: | Aims: To teach the finite element method for the numerical solution of elliptic PDEs based on variational principles.
Learning Outcomes: At the end of the course, students should be able to derive and implement the finite element method for a range of elliptic PDEs in one and several space dimensions. They should also be able to derive and use elementary error estimates for these methods.
Skills: Understanding of the finite element method (T, A), Computer programming with the finite element method (T, A).
Content:
* Introduction.
* Variational and weak form of elliptic PDEs. Natural, essential and mixed boundary conditions. Linear and quadratic finite element approximation in one and several space dimensions. An introduction to convergence theory.
* System assembly and solution, isoparametric mapping, quadrature, adaptivity.
* Applications to PDEs arising in applications. |
Programme availability: |
MA30170 is Optional on the following programmes:
Department of Mathematical Sciences
- TSMA-AFM08 : MSc Modern Applications of Mathematics
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
- USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
- USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
- USMA-AFB05 : BSc(Hons) Statistics (Year 3)
- USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
- USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 4)
- USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)
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Notes: - This unit catalogue is applicable for the 2020/21 academic year only. Students continuing their studies into 2021/22 and beyond should not assume that this unit will be available in future years in the format displayed here for 2020/21.
- Programmes and units are subject to change in accordance with normal University procedures.
- Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
- Find out more about these and other important University terms and conditions here.
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