CutFEMx documentation

CutFEMx provides cut finite element tools for the FEniCSx 0.11 release stack. The current Python workflow is centered around cutfemx.cut(...), cutfemx.locate_entities(...), cutfemx.runtime_quadrature(...), and cutfemx.create_cut_mesh(...).

Getting started

• Installation: build FEniCSx, runintgen, CutCells, CutFEMx, and the docs in an isolated environment.

• Quickstart: solve a first cut Poisson problem.

User guide

• Level sets: define implicit domains with DOLFINx functions.

• Element classification: use cutfemx.cut(...) and selector strings.

• Cut meshes: create visualization meshes and transfer functions.

• Runtime quadrature: build quadrature providers for cells, interfaces, facets, and skeletons.

• Boundary conditions: impose conditions on embedded boundaries with Nitsche terms.

• Stabilization: use ghost-penalty facets around cut cells.

• DOF constraints: deactivate inactive background degrees of freedom.

• Visualization: inspect cut meshes and runtime quadrature points.

Tutorials

• Tutorial book: guided software-demo chapters with embedded interactive views and links to the simplified runnable demo scripts.