pygeon.numerics.differentials module

This module contains functions for computing the differential operators.

pygeon.numerics.differentials.div(grid, **kwargs)

Compute the divergence.

Parameters:

• grid (pg.Grid, pg.MortarGrid, or pg.MixedDimensionalGrid)

• kwargs –

  Optional parameters:

  • as_bmat: In case of mixed-dimensional, return the matrix as sparse sub-blocks. Default False.

Returns:

sps.csc_array. The divergence operator.

pygeon.numerics.differentials.curl(grid, **kwargs)

Compute the curl.

Parameters:

• grid (pg.Grid, pg.MortarGrid, or pg.MixedDimensionalGrid)

• kwargs –

  Optional parameters:

  • as_bmat: In case of mixed-dimensional, return the matrix as sparse sub-blocks. Default False.

Returns:

sps.csc_array. The curl operator.

pygeon.numerics.differentials.grad(grid, **kwargs)

Compute the gradient.

Parameters:

• grid (pg.Grid, pg.MortarGrid, or pg.MixedDimensionalGrid)

• kwargs –

  Optional parameters:

  • as_bmat: In case of mixed-dimensional, return the matrix as sparse sub-blocks. Default False.

Returns:

sps.csc_array. The gradient operator.

pygeon.numerics.differentials.exterior_derivative(grid, n_minus_k, **kwargs)

Compute the (mixed-dimensional) exterior derivative for the differential forms of order n - k.

Parameters:

• grid (pg.Grid, pg.MortarGrid, or pg.MixedDimensionalGrid)

• n_minus_k (int) – The difference between the ambient dimension and the order of the differential form.

Returns:

sps.csc_array. The differential operator.