Politecnico di Milano
the ATHENS programme
Nov 16th-23rd 2013
Introduction to Finite Elements and Applications
- Monday 18/11
09:00 - 9:50) Elements of Lebesgue integration and differentiation in distributional sense; introduction to the main Sobolev spaces. (Prof. Luca Formaggia)
10:00 - 11:50) Model elliptic equations: variational formulation and Galerkin-FEM approximation. (Prof. Stefano Micheletti)
12:00 - 14:00) Lunch
14:00 - 17:00) Hands-on in Lab: Introduction to FreeFem++; implementation and resolution of some model elliptic problems.
- Tuesday 19/11
09:00 - 10:50) A priori error estimates for elliptic problems. (Prof. Simona Perotto)
11:00 - 11:50) Mesh adaptation. (Prof. Simona Perotto)
12:00 - 15:00) Lunch
15:00 - 18:00) Hands-on in Lab: Numerical assessment of a priori error estimates on some model problem. (EG7 room)
- Wednesday 20/11
09:00 – 9:50) A posteriori error estimates. (Prof. Simona Perotto)
10:00 – 11:50) Numerical methods for time-dependent problems. (Prof. Stefano Micheletti)
12:00 – 15:00) Lunch
15:00 – 18:00) Hands-on in Lab: Implementation and resolution of some time-marching scheme for parabolic model problems. (EG8 room)
- Thursday 21/11
9:00 – 11:50) Variational formulation of the Stokes system; Galerkin-FEM approximation; the inf-sup condition. (Prof. Luca Formaggia)
12:00 – 14:00) Lunch
14:00 – 17:00) Hands-on in Lab: Implementation and resolution of the Stokes equations. (D33 room)
- Friday 22/11
09:00 – 12:00) Presentation of MOX-OFF activities and visit to MOX-OFF premises.
All the morning lectures take place in the “Sala del Consiglio” at the 7th floor of the Department of Mathematics, building 14 “Nave” , via Bonardi 9.
The afternoon sessions take place in computer laboratories. The room and hour schedule vary from day to day, as detailed in the above programme.