AMPS I · Week 02 — Ciarlet’s Finite Element, Unisolvence, Basix Elements, Lagrange Variants

File What When
W02_lecture.html (.qmd source) Lecture slides — Parts A, B, C, D in class
W02_lab.ipynb (Colab) In-class lab: Vandermonde by hand, Basix elements and tabulation, conditioning, Lagrange variants, LLM demo in class (≈ 80 min)
W02_HW2.ipynb (Colab) HW2 — unisolvence proofs, your own nodal basis vs Basix, a non-unisolvent node set, cubic Hermite with an LLM due before Week 3
../dolfinx_0.11_api_reference.md DOLFINx 0.11 API reference sheet — paste it into your LLM always

Open a notebook in Colab: click its link on the course page or below — it opens in Colab; then File → Save a copy in Drive and work on that copy. (Or upload the .ipynb to Google Drive → right-click → Open with → Google Colaboratory.) Run the setup cell first (≈ 3–5 min); re-run it after every runtime restart.

Where code can run: basix, ufl and dolfinx exist only inside %%fenicsx cells. Ordinary cells have NumPy and matplotlib only.

Before submitting: Runtime → Restart session and run all, fill in the AI-usage log, download the .ipynb. An error inside a %%fenicsx cell does not stop Run all: the traceback is printed and the next cell runs anyway. Scroll through every output before you submit. A cell that printed a traceback, and any plot that uses its results, earns no points.

Week 3 starts with a 10-minute quiz on this week’s material (closed-AI).