The aim of the course is to introduce advanced topis of numerical analysis for partial differential equations. In the first part we shall deal with mathematical modelling in elasticity, the other part treats fluid dynamics. Both parts start with deriving a mathematical model from physical principles. Then variational formulations are introduced, which are solved by the finite element method afterwards.
Braess, D.: Finite elements. Cambridge University Press, 2001
Feistauer, M.: Theory and numerics for problems of fluid dynamics. MATFYZ UK Praha, 2006
Quarteroni, A., Valli, A.: Numerical approximation of PDEs. Springer, 2008.