Week 2.2

FEM

• Book theory

  • Strong form of the 1D Poisson equation

  • From strong to weak form

  • From weak to discrete form

  • Finite element implementation

  • Elements and shape functions

  • Numerical integration

  • Poisson equation in 2D

  • Bonus material, not for MUDE exam: Isoparametric Mapping

• Lecture slides

• Collegerama recording (TU Delft login required)

• Workshop assignment: Extra Support

• Group assignment

Programming

• Large matrices

  • Book theory

    • Assembly and np._ix

    • Sparse matrices with scipy.sparse

    • Solving systems of equations

  • Programming assignment: Sparse vs Dense