Tutorials

The tutorials each cover a topic with in-depth explanations.

• Tutorial: data functions and interpolation
  • creating functions
    • using the ConstantFunction
    • using the ExpressionFunction
    • discrete functions
  • visualizing functions
    • visualizing scalar functions in 2d
    • visualizing functions in other dimensions
  • The GridFunction
    • visualizing grid functions in all dimension
  • interpolation
    • using dune-gdts interpolation
    • using vectorized Python code
  • performance considerations
    • interpolation test
    • discretization test
• Tutorial: continuous FEM for the stationary heat equation
  • diffusion with homogeneous Dirichlet boundary condition
    • analytical problem
    • continuous Finite Elements
    • approximate functionals
    • approximate bilinear forms
    • handling the Dirichlet boundary condition
    • walking the grid
    • solving the linear system
    • postprocessing the solution
    • everything in a single function
  • diffusion with non-homogeneous Dirichlet boundary condition
    • analytical problem
    • Dirichlet shift
    • Dirichlet interpolation
    • assembling the shifted system
    • everything in a single function