Department of Mathematical Sciences, Unit Catalogue 2009/10
MA30170: Numerical solution of PDEs I
|Assessment:||CW 25%, EX 75%|
|Supplementary Assessment:||Like-for-like reassessment (where allowed by programme regulations)|
|Requisites:||Before taking this unit you must take MA20010 and take MA20011 and take MA20014|
Aims & Learning Objectives:
To teach numerical methods for elliptic and parabolic partial differential equations via the finite element method based on variational principles.
Objectives: At the end of the course students should be able to derive and implement the finite element method for a range of standard elliptic and parabolic partial differential equations in one and several space dimensions. They should also be able to derive and use elementary error estimates for these methods.
* 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.
* Brief introduction to time dependent problems.