Finite Elements for Fluids
Instructor : Prof. Sheu
Finite Element Method with FreeFem++
FreeFem++FreeFem++-cs
Documentation
March 10, 2016
March 31, 2016
April 7, 2016
May 5, 2016
Triangular finite elements
March 10, 2016
Using the files
splot 'triangles.dat' w l notitle, 'dof.dat' t 'Deegrees of freedom' pt 6 lw 3
triangles.dat and dof.dat produced by the FreeFem++ script basis.edp, we use GNUplot to exhibit the deegree of freedoms with this command splot 'triangles.dat' w l notitle, 'dof.dat' t 'Deegrees of freedom' pt 6 lw 3
Finite Element Mehod in FreeFem++
March 31, 2016
mesh.edp
elliptic.edp - Dirichlet type B.C.
elliptic.edp - Robin type B.C.
order.edp - for structured meshes
order.edp - for unstructured meshes
heat.edp - Dirichlet type B.C.
heat.edp - Dirichlet/Neumann mixed type B.C.
Homework correction
elliptic.edp - Dirichlet type B.C.
elliptic.edp - Robin type B.C.
order.edp - for structured meshes
order.edp - for unstructured meshes
heat.edp - Dirichlet type B.C.
heat.edp - Dirichlet/Neumann mixed type B.C.
Homework correction
Order of convergence between the computed finite element solution \( u_h \) and the exact solution \( u \).
Solution \( u_h \) of the elliptic problem with Robin oundary conditions in \( \Omega=[0,1]×[0,1] \) :
\(- \nabla^2 u +c\,u= f \text{ in } \Omega \)
\( \frac{\partial u}{\partial n} +\varepsilon u = 0 \text{ on } \partial\Omega \)
Convection-diffusion / Stokes equations
April 7, 2016
Convection dominant solution of the convection-diffusion equation in the unit square.
Solution of the Stokes equations in a vessel with a stenose
Characteristics-Galerkin method / Navier-Stokes equations
May 5, 2016