Matrix representation of the weak form of a differential operator (divgrad, curlcurl, graddiv) More...
Public Member Functions | |
| procedure | init (this, space, coord_transform, mass) |
| Initialize the matrix representation of the weak form of a differential operator for the given m-form space (divgrad, curlcurl, graddiv) | |
| procedure | constraint_coeff (this) |
| Coefficient for the imposing a linear constraint on the differential matrix by means of a projection operator. | |
 Public Member Functions inherited from m_mform_matrix::abstractmatrix | |
| procedure(constraint_coeff_interface), deferred | constraint_coeff constraint_coeff_interface |
| procedure | destroy (this) |
| Destroy the AbstractMatrix. | |
Additional Inherited Members | |
| Public Attributes inherited from m_mform_matrix::abstractmatrix | |
| type(mformspace) | space_col |
| The m-form space of the solution vector. | |
| type(mformspace) | space_row |
| The m-form space of the residual. | |
| logical | is_symmetric |
| PETSc matrix. | |
| logical | is_spd |
| Whether the matrix is symmetric positive definite. | |
Detailed Description
Matrix representation of the weak form of a differential operator (divgrad, curlcurl, graddiv)
The matrix is given by D^T * M * D, where M is the mass matrix of the next m-form space and D is the 'finite difference' matrix
Member Function/Subroutine Documentation
◆ constraint_coeff()
| procedure m_mform_matrix::diffdiffmatrix::constraint_coeff | ( | class(diffdiffmatrix), intent(in) | this | ) |
Coefficient for the imposing a linear constraint on the differential matrix by means of a projection operator.
That is, when mode=CONSTRAINT_PROJECTION is used, the following matrix is constructed: P^T * L * D + \gamma * (I - P)^T M * (I - P), where P is the projection operator, L is the divgrad/curlcurl/graddiv matrix. This function provides the coefficient \gamma.
- Parameters
-
[in] this The DiffDiffMatrix object for which to compute the coefficient
- Returns
- The coefficient \gamma
◆ init()
| procedure m_mform_matrix::diffdiffmatrix::init | ( | class(diffdiffmatrix), intent(out) | this, |
| type(mformspace), intent(in) | space, | ||
| class(coordtransformabstract), intent(in), optional | coord_transform, | ||
| type(massmatrix), intent(in), optional | mass ) |
Initialize the matrix representation of the weak form of a differential operator for the given m-form space (divgrad, curlcurl, graddiv)
- Parameters
-
[in,out] this The DiffDiffMatrix object to initialize [in] space The MFormSpace for which to initialize the differential matrix [in] coord_transform _(optional)_ The coordinate transformation associated with the m-form space [in] mass _(optional)_ The MassMatrix corresponding to the next m-form space; if not provided, it is constructed internally
The documentation for this type was generated from the following file:
- /builds/rwr/bspline_feec/src/mform/m_mform_matrix.f90
