| File | What | When |
|---|---|---|
W14_lecture.html
(.qmd source) |
Lecture slides — Parts A, B, C, D | in class |
W14_lab.ipynb
(Colab) |
In-class lab: growth rates and amplification factors in NumPy, each scheme against its own discrete growth rate, three schemes at large time steps, four linear solvers and the ghosts of a partition, one factorisation reused for a whole run, LLM exercise (spinodal decomposition) | in class (≈ 80 min) |
W14_HW13.ipynb
(Colab) |
HW13 — linear stability, amplification factors, convex splitting and the common tangent (theory), growth rates in time and space, the equilibrium interface, Flory–Huggins binodal compositions, solvers / memory / ghosts, accuracy per cost, an LLM-generated Cahn–Hilliard script with defects | due before Week 15 |
../dolfinx_0.11_api_reference.md |
DOLFINx 0.11 API reference sheet — §16w Cahn–Hilliard schemes, a reused factorisation, a matrix-free operator, timing and ghosts — 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, dolfinx, petsc4py are used
only inside %%fenicsx cells. Ordinary cells have NumPy and
matplotlib only. The model is one module written by the
%%writefile /tmp/fnx/phase.py cell — run it first. All
cells run with -np 2.
Timings depend on the machine (Colab has 2 virtual CPUs): compare ratios and iteration counts, not seconds.
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. (The first cell of HW13 Q7 runs an LLM-generated script that is
meant to be wrong.) The lab runs in about half a minute
locally, HW13 in about seven minutes (about 25 on Colab).
Week 15 starts with a 10-minute quiz on this week’s lecture
(closed-AI), followed by the project workshop (progress talks
and code reviews, ../week15/README.md).