
Academic Year:  2015/6 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 2 
Assessment Summary:  CW 40%, EX 60% 
Assessment Detail: 

Supplementary Assessment: 
MA50170 Mandatory extra work (where allowed by programme regulations) 
Requisites:  In taking this module you cannot take MA30170 . Before taking this unit you must take MA20222 or an equivalent first course in numerical analysis. 
Description:  Aims: To teach the finite element method for 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, including problems with random coefficients. They should also be able to derive and use elementary error estimates for these methods. They should be able to demonstrate an indepth understanding of the subject. 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. PDEs with random coefficients. Examples of intrusive and nonintrusive methods (e.g., Monte Carlo methods and stochastic Galerkin methods). 
Programme availability: 
MA50170 is Optional on the following programmes:Department of Mathematical Sciences
