Weekly schedule (will be updated as we go)

• Week 1: Lecture 1 (notes updated March 17) based on the survey
• Week 2: continue on the lecture from last week. Small note about the explicit scheme.
• Week 3: Lecture notes, week 3
  Note also that a gentle intro to FEM can be found here.
• Week 4: Lecture notes, week 4
• Week 5: Lecture notes, week 5
• Week 6: Lecture notes, week 6
• Week 7: Lecture notes, week 7 + some extra
• Week 8: Lecture notes, week 8
• Week 9: Lecture notes, week 9
• Week 10: Lecture notes, week 10 , brain book chapter, diffusion_1D.py
• Week 11: Navier's equation and Biot's equation . Some extra comments on the symmetric gradient. More details concerning linear elasticity can be found in Chap 9 in the lecture notes.
• Week X: lecture 11 , based on Chap 3 in the lecture notes.
• Week Y: A brief note about deriving Lagrange multiplier formulations

Exercises

• Exercises for week 18-19: 6.1, 6.5, 6.6, 7.5, 7.6
• Exercises for week 16: 3.1, 3.3, 3.5, 9.2, 9.3.
• Topics for PhD-presentations April 28.
• Mandatory exercise can be found here. The benchmark paper can be found here .
• Develop a code for an explicit pressure correction scheme. Consider the application flow around cylinder, say with a Renolds number 50. Details concerning the flow around a cylinder test case can be found e.g. in chap 21 (21.4.5) of the FEniCS book. What are the expected stability constraints on dt? I am thinking of rough estimates in terms of finite difference, von Neumann analysis (e.g. Mat3360).
• Try to solve the Poission problem with homogenous Dirichlet conditions in 1D using FEniCS, with elements of different orders. Let the solution be u=sin(pi x) and calculate the right hand-side. Check wether integration by parts has an effect.

PhD presentations

Curriculum

• Exam will be Thursday, June 17.
• Exam 2021
  1. 10:00 Florian Arbes
  2. 10:30 Yngve Mardal Moe
  3. 11:00 Åshild Telle
  4. 11:30 Denis Fimland
  5. 12:30 Jonas Rønning
  6. 13:00 Kei Yamamoto
  7. 13:30 Lars Willas Dreyer
  8. 14:00 Roar Emaus
  9. 14:30 Martin Krokan Hovden
  10. 15:00 Stephane Poulain
  11. 15:30 Sverre Vinje
  12. 16:00 Torstein Sætre
• Exam 2019
• The following lecture notes goes through the finite element method (Chap 1), Convection diffusion (Chap 6), Stokes problem (Chap 7) We will go through at least these chapters.
• Some associated slides for FEM, Stokes problem.
• A FEniCS tutorial. In general, more info on FEniCS like installation procedures, user community etc can be found at fenicsproject.org.