Introduction to finite element computation by FreeFem++ : Atsushi Suzuki
Introduction to finite element computation by FreeFem++
15, 16 Oct 2015 @ Kanazawa University, Atsushi Suzuki
— towards numerical simulation of fluid flow problems
slide : in PDF format
- 1st lecture :
Basics of finite element method by examples from the Poisson equation
poisson-P2.edp : convergence check of P2 finite element solution for the Poisson equation.
poisson-P2-buildmesh.edp : convergence check using unstructured mesh.
poisson-matrix.edp : usage of matrix and vector and treatment of inhomogenous Dirichlet boundary conditions.
- 2nd lecture :
Mixed formulation for the Stokes equations
stokes-error.edp : convergence check of P2/P1 finite element solution for the Stokes equations.
stokes-stabilized-error.edp : P1/P1 stabilized method.
stokes-matrix.edp : usage of matrix and vector and treatment of inhomogenous Dirichlet boundary conditions.
stokes-matrix-Uzawa.edp : usage of conjugate gradient method with Uzawa method
stokes-matrix-Uzawa-grad.edp : bilinear form based on grad form leads to block diagonal structure of stiffness matrix for the veliocty
- 3rd lecture :
Nonlinear finite element problem by Newton method
cavityNewton.edp : stationary cavity drive flow problem by Newton iteration.
- 4th lecture :
Time-dependent Navier-Stokes equations around a cylinder
NS-cylinder.edp : time-dependent Navier-Stokes equations by Characteristic Galerkin method
NS-cylinder-adpt.edp : with adaptive method refinement.
updated: 29 Oct.2015.