Frédéric Hecht, Pierre et Marie Curie University, Laboratory Jacques-Louis Lions
| "I would like it to be possible to solve digitally, in a user-friendly way, the problems modeled by partial differential equations (PDEs) from physics, engineering, computing graphics and recently from the finance-banking sector. This problem is therefore at the interface between applied mathematics, numerical analysis, computer science and the relevant applications (fluid mechanics, electromagnetism, quantum mechanics and stock options in finance)." |  |
Tuesday, August 22, 10:00AM-12:00PM
Mike Sussman: expository lecture on FreeFem++
Wednesday, August 23, 1:00PM-3:00PM
Mike Sussman: expository lecture on FreeFem++
Friday, August 25, 1:00PM-3:00PM
Alicia Klinvex: expository lecture on FreeFem++
Monday, August 28
Frédéric Hecht: FreeFem++ basics
Morning: 10:00AM-12:00PM
- Introduction to FreeFem++ 2d : installation, mesh, finite element, weak formulation, linear solver, graphics
- The Poisson/ Laplace Problem : weak formulation, boundary condition problem, first example
- Problem in Time on Heat equation
- Non Linear equation
- Newton Method
Afternoon: 2:00PM-3:00PM
Working class on Laptop : How to install, Examples on verification of estimate on Poisson problem, Examples on Heat problem on an Oven
Tuesday, August 29
Frédéric Hecht: Some Freefem++ tools
Morning: 10:00AM-12PM
Matrix/vector usage, Mesh Adaptation, Eigen value problem, Optimisation tools : ipopt, Stokes and Incompressible Navier-Stokes Problem (Some formulatio, Boundary Condition for the Stokes problem, Some numerical scheme for the Navier-Stokes: Newton Method, Characteristic method, Chorin Algorithm, Boussinesq equation)
Afternoon: 2:00PM-3:00PM
An Optimization Problem - Minimal surface problem, and The Optimisation of the Oven problem with and without fluid.
Wednesday, August 30
Frédéric Hecht: FreeFem++ 3D computation and coupling problem
Morning: 10:AM-12:00PM
- 3d Mesh tools, tetgen, buillayer
- 3d problem: Navier-Stokes, Elasticity problem, Boussinesq
- Other mathematical formulation: Mixed Finite Element, DG formulation
Afternoon: 2:00PM-3:00PM
Try to make the 2D/3D fluid benchmark.
Thursday, August 31
Frédéric Hecht: FreeFem++ parallel computing
Morning: 10AM-12PM
Presentation of the mpi tool of freefem++, parallel solver, DDM method in freefem++
Afternoon: 2:00PM-3PM
Test of the mpi version if possible, Simple parallisation trick, paralelisation of the Chorin Algorithm for Navier-Stokes in 3d.
Friday, September 1: Department of Mathematics colloquium
Location and Address
Thackeray 427