Monday January 30 10.30 - 11.15 Linear algebra: direct methods, structure of the matrix, sparseness, band methods C. Vuik 11.15 - 11.30 Coffee break 11.30 - 12.15 Basic iterative methods: Gauss Seidel, Jacobi, overrelaxation C. Vuik 12.15 - 13.15 Lunch break 13.15 - 14.00 Introduction Finite Element Method (F.E.M.); Potential problems, Structure of the global matrix F.J. Vermolen 14.15 - 17.00 Practical work SEPRAN, exercises 1, 2 and 3 _______________________________________________________________________ Tuesday January 31 09.30 - 10.15 Conjugate Gradients for symmetric systems C. Vuik 10.15 - 10.30 Coffee break 10.30 - 11.15 Convection-diffusion equation with F.E.M. F.J. Vermolen 11.15 - 11.30 Coffee break 11.30 - 12.15 Convection-diffusion equation with upwind F.J. Vermolen 12.15 - 13.15 Lunch break 13 15 - 14.30 Practical work SEPRAN, exercises 4 and 5 14.30 - 15.0O Tea/coffee break 15.00 - 17.00 Practical work _______________________________________________________________________ Wednesday February 1 09.30 - 10.15 Incompressible Navier-Stokes equations, standard Galerkin F.J. Vermolen 10.15 - 10.30 Coffee break 10.30 - 11.15 Problems with incompressibility; Solution techniques F.J. Vermolen 11.15 - 11.30 Coffee break 11.30 - 12.15 Linear algebra: acceleration of iterative methods with preconditioning C. Vuik 12.15 - 13.15 Lunch break 13.15 - 14.30 Practical work MATLAB/Octave, exercises 14, 15 and 17 14.30 - 15.00 Tea/coffee break 15.00 - 17.00 Practical work 18.00 - 21.00 Diner Sevenhills Delft https://sevenhillsdelft.nl/ Achterom 165 2611 PN Delft 015-2128903 _______________________________________________________________________ Thursday February 2 09.30 - 10.15 Linear algebra: non-symmetric solvers (GMRES, CGS Bi-CGSTAB) C. Vuik 10.15 - 10.30 Coffee break 10.30 - 11.15 Linear algebra: parallel computers C. Vuik 11.15 - 11.30 Coffee break 11.30 - 12.15 Incompressible Navier-Stokes equations: penalty method, divergence-free elements? F.J. Vermolen 12.15 - 13.15 Lunch break 13.15 - 14.30 Practical work SEPRAN, exercises 6 and 7 14.30 - 15.00 Tea/coffee break 15.00 - 17.00 Practical work _______________________________________________________________________ Friday February 3 09.30 - 10.15 Linear algebra: parallel computers and iterative methods C. Vuik 10.15 - 10.30 Coffee break 10.30 - 11.15 Incompressible Navier-Stokes equations: instationary aspects, linearisation F.J. Vermolen 11.15 - 11.30 Coffee break 11.30 - 12.15 Free and moving boundaries F.J. Vermolen 12.15 - 13.15 Lunch break 13.15 - 14.30 Practical work SEPRAN, exercises 8, 9, and 16 14.30 - 15.00 Tea/coffee break 15.00 - 17.00 Practical work _______________________________________________________________________