Course - Numerical Solution of Partial Differential Equations - MA8502
Numerical Solution of Partial Differential Equations
About
About the course
Course content
The course is taught every second year, if there are enough students, next time Fall 2010. If there are few students, there will be guided self-study.
This course will treat selected topics within analysis and application of the finite element method in computational mechanics, with particular emphasis on computational methods for incompressible fluid flow. High order spectral element methods will be used for the spatial discretization. These methods will be discussed in the context of the solution of the Poisson problem, the stady Stokes problem, and problems involving convection. The time discretization will include operator splitting methods. The treatment of general boundary conditions and deformed geometry will be discussed. Finally, efficient computation of quantities derived from the numerical solution ("outputs of interest") will be discussed.
Learning methods and activities
Lectures, alternatively guided self-study.
Course materials
Will be announced at the start of the course.
Subject areas
- Numerical Mathematics