pygeon.discretizations.poly_projection module

pygeon.discretizations.poly_projection.get_PwPolynomials(poly_order, tensor_order)[source]

Returns the piecewise polynomial discretization class based on the polynomial order.

Parameters:

  • poly_order (int) – The polynomial order.

  • tensor_order (int) – The tensor order.

Returns:

The corresponding piecewise polynomial discretization class.

Return type:

Type[pg.Discretization]

pygeon.discretizations.poly_projection.proj_to_PwPolynomials(discr, sd, poly_order)[source]

Constructs a projection operator to piecewise polynomial spaces of a specified order.

Parameters:

  • discr (pg.Discretization) – The current discretization object.

  • sd (pg.Grid) – The grid on which the projection is performed.

  • poly_order (int) – The target polynomial order for the projection.

Returns:

A sparse matrix representing the projection operator to the specified piecewise polynomial space.

Return type:

sps.csc_array