cashocs.geometry.interval_mesh

cashocs.geometry.interval_mesh(

n: int = 10,

start: float = 0.0,

end: float = 1.0,

partitions: list[float] | None = None,

comm: MPI.Comm | None = None,

) → _typing.MeshTuple

Creates an 1D interval mesh starting at x=0 to x=length.

This function creates a uniform mesh of a 1D interval, starting at the start and ending at end. The resulting mesh uses n sub-intervals to discretize the geometry. The boundary markers are as follows:

• 1 corresponds to \(x=start\)

• 2 corresponds to \(x=end\)

Parameters:

• n (int) – Number of elements for discretizing the interval, default is 10

• start (float) – The start of the interval, default is 0.0

• end (float) – The end of the interval, default is 1.0

• partitions (list[float] | None) – Points in the interval at which a partition in subdomains should be made. The resulting volume measure is sorted ascendingly according to the sub-intervals defined in partitions (starting at 1). Defaults to None.

• comm (MPI.Comm | None) – MPI communicator that is to be used for creating the mesh.

Returns:

A tuple (mesh, subdomains, boundaries, dx, ds, dS), where mesh is the imported FEM mesh, subdomains is a mesh function for the subdomains, boundaries is a mesh function for the boundaries, dx is a volume measure, ds is a surface measure, and dS is a measure for the interior facets.

Return type:

_typing.MeshTuple