AMPS II · Week 01 — Course Introduction · Linear Elasticity · Locking · Algebraic Multigrid · Reaction Forces · Hyperelasticity

File What When
W01_lecture.html (.qmd source) Lecture slides — Parts 0, A, B, C, D in class
W01_lab.ipynb (Colab) In-class lab: the model-module pattern, P1 locking vs P2, CG + GAMG with and without the rigid-body near-nullspace, reaction forces two ways, a neo-Hookean cantilever with load steps, LLM exercise in class (≈ 80 min)
W01_HW1.ipynb (Colab) HW1 — rigid-body motions and compatibility, what controls locking, multigrid, force and moment equilibrium, an LLM-generated hyperelastic script with defects due before Week 2
../dolfinx_0.11_api_reference.md DOLFINx 0.11 API reference sheet — §16 solid mechanics (elasticity, near-nullspace + GAMG, consistent reactions, neo-Hookean + load steps) — 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. New in Course II: the model is a module written by a %%writefile /tmp/fnx/beam.py cell and imported by every %%fenicsx cell — run that cell first.

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. A nonlinear solve that fails is not an error at all — print the converged reason. Scroll through every output before you submit. (The first cell of HW1 Q4 runs an LLM-generated script that is meant to be broken.)

Week 2 starts with a 10-minute quiz on this week’s material (closed-AI).