The python files in this directory provide several examples that demonstrate the usage of ngsxfem features. For an introduction to these features we refer to the ngsxfem-jupyter tutorials. In the next table you can see the available demonstration files and a short description:
| filename | description |
|---|---|
| lsetgeoms.py | Examples of smooth domains described by level set functions and their geometrical approximation. |
| unf_interf_prob.py | Stationary scalar unfitted interface problem with an unfitted isoparametric FEM discretization and Nitsche. |
| fictdom.py | Poisson problem on an unfitted (smooth) domain described by a level set function, discretized with CutFEM, Ghost Penalties and Nitsche. |
| fictdom_dg.py | Poisson problem on an unfitted (smooth) domain described by a level set function, discretized with Cut-DG (interior penalty), Ghost Penalties and Nitsche. |
| fictdom_mlset.py | Poisson problem on an unfitted domain described by multiple level sets, discretized with CutFEM and Nitsche. |
| stokescutfem.py | Stationary Stokes interface problem with an unfitted isoparametric Taylor-Hood-Nitsche discretization |
| tracefem.py | stationary surface PDE problem with a TraceFEM discretization |
| fictdom_dg.py | Poisson problem on an unfitted (smooth) domain described by a level set function, discretized with a Cut Discontinuous Galerkin method and Nitsche. |
| moving_domain.py | Parabolic PDE on a moving domain solved by an Eulerian time stepping method using isoparametric CutFEM and Ghost penalty stabilization. |
| aggregates/aggfem_shapetester.py | Explanation of aggregated FEM basis functions as a means to deal with (small) cut elements. |
| aggregates/fictdom_aggfem.py | FEM basis aggregation to solve a fictitious domain problem (without ghost penalties). |
| aggregates/fictdom_dg_aggfem.py | DG basis aggregation (cell merging) to solve a fictitious domain problem (without ghost penalties). |
| spacetime/spacetimeDG_fitted.py | Parabolic PDE on a stationary fitted domain solved by a space-time DG-in-time method. |
| spacetime/spacetimeDG_unfitted.py | Parabolic PDE on a moving domain solved by a an unfitted isoparametric space-time DG-in-time CG-in-time method. |
| spacetime/spacetimeCG_unfitted.py | Parabolic PDE on a moving domain solved by a an unfitted isoparametric space-time continuous-in-time CG-in-time Petrov-Galerkin method. |
| spacetime/spaceDGtimeDG_unfitted.py | Parabolic PDE on a moving domain solved by a an unfitted isoparametric space-time DG-in-time DG-in-time method. |
| spacetime/spaceDGtimeDG_unfitted_3D.py | Parabolic PDE on a moving domain solved by a an unfitted isoparametric space-time DG-in-time DG-in-time method (3D). |
| spacetime/spacetime_vtk.py | Demonstration on how to export functions on a (2D+time) time slab to a vtk output. |
| spdes/surfstokestracefem.py | TraceFEM discretization of the Stokes equations on a level set surface. |
| mpi/mpi_nxfem.py | MPI version of a solution of a scalar unfitted interface problem in Nitsche-XFEM formulation. |