sll_m_spline_fem_utilities_sparse Module Reference

Description

Utilites for Maxwell solver's with spline finite elements using sparse matrix linear solvers.

Author

Katharina Kormann

Functions/Subroutines
subroutine, public	sll_s_spline_fem_sparsity_mass (degree, n_cells, spmat)
	Helper function to create sparsity pattern of the mass matrix. More...
subroutine	assemble_mass (n_cells, degree, mass_line, matrix)
	Assemble sparse matrix for mass matrix. More...
subroutine, public	sll_s_spline_fem_mass1d (n_cells, s_deg, mass_line, matrix)
	Set up 1d mass matrix (sparsity pattern and values) More...
subroutine	assemble_mass_full (n_cells, degree, mass_line, matrix, row, ind)
	Assemble the given row of a sparse matrix for a full mass line. More...
subroutine, public	sll_s_spline_fem_mass1d_full (n_cells, s_deg, matrix, profile)
	Set up 1d mass matrix for specific spline degree and profile function. More...
subroutine	sll_s_maxwell_spline_fem_sparsity_mixedmass (deg1, deg2, n_cells, spmat)
	Helper function to create sparsity pattern of the mass matrix with mixed degree deg1 and deg2. More...
subroutine	assemble_mixedmass (n_cells, degree, mass, matrix)
	Assemble the mixed mass matrix. More...
subroutine	assemble_mixedmass_full (n_cells, deg1, deg2, mass_line, matrix, row, ind)
	Assemble the given row of a mixed mass matrix for a full mass_line. More...
subroutine, public	sll_s_spline_fem_mixedmass1d (n_cells, s_deg, mass_line, matrix)
subroutine, public	sll_s_spline_fem_mixedmass1d_full (n_cells, deg1, deg2, matrix, profile)
subroutine	sll_s_spline_fem_sparsity_mass_clamped (degree, n_cells, spmat)
	Helper function to create sparsity pattern of the clamped mass matrix. More...
subroutine	assemble_mass_clamped (n_cells, degree, mass_line, mass_line_b, matrix)
	Assemble the clamped mass matrix. More...
subroutine, public	sll_s_spline_fem_mass1d_clamped (n_cells, s_deg, mass_line, mass_line_b, matrix)
	Set up 1d mass matrix (sparsity pattern and values) More...
subroutine	assemble_mass_clamped_full (n_cells, deg, mass, mass_b, matrix, row, ind)
	Assemble the given row of a sparse matrix for a full mass line. More...
subroutine, public	sll_s_spline_fem_mass1d_clamped_full (n_cells, deg, spline, matrix, profile)
	Set up 1d mass matrix for specific spline degree and profile function. More...
subroutine	sll_s_maxwell_spline_fem_sparsity_mixedmass_clamped (deg1, deg2, n_cells, spmat)
	Helper function to create sparsity pattern of the mass matrix with mixed degree deg1 and deg2. More...
subroutine	assemble_mixedmass_clamped_full (n_cells, deg1, deg2, mass_line, matrix, row, ind)
	Assemble the given row of a mixed mass matrix for a full mass_line. More...
subroutine	assemble_mixedmass_clamped_boundary (n_cells, deg1, deg2, mass_line, matrix, row, ind)
	Assemble the boundary part of a mixed mass matrix. More...
subroutine, public	sll_s_spline_fem_mixedmass1d_clamped_full (n_cells, deg1, deg2, matrix, profile, spline1, spline2)
	Set up 1d mixed mass matrix for specific spline degrees and profile function. More...

Function/Subroutine Documentation

assemble_mass()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mass ( intent(in)  n_cells, intent(in)  degree, dimension(degree+1), intent(in)  mass_line, type(sll_t_matrix_csr), intent(inout)  matrix  )

private

Assemble sparse matrix for mass matrix.

Parameters

[in,out]

matrix

sparse matrix (mass matrix on output)

Definition at line 127 of file sll_m_spline_fem_utilities_sparse.F90.

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assemble_mass_clamped()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mass_clamped ( intent(in)  n_cells, intent(in)  degree, dimension(degree+1), intent(in)  mass_line, dimension((degree+1)*degree), intent(in)  mass_line_b, type(sll_t_matrix_csr), intent(inout)  matrix  )

private

Assemble the clamped mass matrix.

Parameters

[in,out]

matrix

sparse matrix (mass matrix on output)

Definition at line 534 of file sll_m_spline_fem_utilities_sparse.F90.

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assemble_mass_clamped_full()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mass_clamped_full ( intent(in)  n_cells, intent(in)  deg, dimension(2*deg+1), intent(in)  mass, dimension((7*deg**2-deg-2)/2), intent(in)  mass_b, type(sll_t_matrix_csr), intent(inout)  matrix, intent(in)  row, intent(inout)  ind  )

private

Assemble the given row of a sparse matrix for a full mass line.

Parameters

[in,out]

matrix

sparse matrix

Definition at line 629 of file sll_m_spline_fem_utilities_sparse.F90.

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assemble_mass_full()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mass_full ( intent(in)  n_cells, intent(in)  degree, dimension(2*degree+1), intent(in)  mass_line, type(sll_t_matrix_csr), intent(inout)  matrix, intent(in)  row, intent(inout)  ind  )

private

Assemble the given row of a sparse matrix for a full mass line.

Parameters

[in,out]

matrix

sparse matrix

Definition at line 203 of file sll_m_spline_fem_utilities_sparse.F90.

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assemble_mixedmass()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mixedmass ( intent(in)  n_cells, intent(in)  degree, dimension(degree*2), intent(in)  mass, type(sll_t_matrix_csr), intent(inout)  matrix  )

private

Assemble the mixed mass matrix.

Definition at line 342 of file sll_m_spline_fem_utilities_sparse.F90.

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assemble_mixedmass_clamped_boundary()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mixedmass_clamped_boundary ( intent(in)  n_cells, intent(in)  deg1, intent(in)  deg2, dimension( (deg1+deg2)**2+(2*deg2+deg1-deg1**2)/2 ), intent(in)  mass_line, type(sll_t_matrix_csr), intent(inout)  matrix, intent(in)  row, intent(inout)  ind  )

private

Assemble the boundary part of a mixed mass matrix.

Parameters

[in,out]

matrix

sparse matrix

Definition at line 800 of file sll_m_spline_fem_utilities_sparse.F90.

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assemble_mixedmass_clamped_full()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mixedmass_clamped_full ( intent(in)  n_cells, intent(in)  deg1, intent(in)  deg2, dimension(deg1+deg2+1), intent(in)  mass_line, type(sll_t_matrix_csr), intent(inout)  matrix, intent(in)  row, intent(inout)  ind  )

private

Assemble the given row of a mixed mass matrix for a full mass_line.

Parameters

[in,out]

matrix

sparse matrix

Definition at line 781 of file sll_m_spline_fem_utilities_sparse.F90.

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assemble_mixedmass_full()

subroutine sll_m_spline_fem_utilities_sparse::assemble_mixedmass_full ( intent(in)  n_cells, intent(in)  deg1, intent(in)  deg2, dimension(deg1+deg2+1), intent(in)  mass_line, type(sll_t_matrix_csr), intent(inout)  matrix, intent(in)  row, intent(inout)  ind  )

private

Assemble the given row of a mixed mass matrix for a full mass_line.

Parameters

[in,out]

matrix

sparse matrix

Definition at line 382 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_maxwell_spline_fem_sparsity_mixedmass()

subroutine sll_m_spline_fem_utilities_sparse::sll_s_maxwell_spline_fem_sparsity_mixedmass ( intent(in)  deg1, intent(in)  deg2, intent(in)  n_cells, type(sll_t_matrix_csr), intent(out)  spmat  )

private

Helper function to create sparsity pattern of the mass matrix with mixed degree deg1 and deg2.

Parameters

[out]

spmat

sparse matrix

Definition at line 277 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_maxwell_spline_fem_sparsity_mixedmass_clamped()

subroutine sll_m_spline_fem_utilities_sparse::sll_s_maxwell_spline_fem_sparsity_mixedmass_clamped ( intent(in)  deg1, intent(in)  deg2, intent(in)  n_cells, type(sll_t_matrix_csr), intent(out)  spmat  )

private

Helper function to create sparsity pattern of the mass matrix with mixed degree deg1 and deg2.

Parameters

[out]

spmat

sparse matrix

Definition at line 723 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_mass1d()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_mass1d	(	intent(in)	n_cells,
		intent(in)	s_deg,
		dimension(:), intent(in)	mass_line,
		type(sll_t_matrix_csr)	matrix
	)

Set up 1d mass matrix (sparsity pattern and values)

Parameters

matrix

sparse matrix (containing mass matrix on output)

Definition at line 190 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_mass1d_clamped()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_mass1d_clamped	(	intent(in)	n_cells,
		intent(in)	s_deg,
		dimension(:), intent(in)	mass_line,
		dimension(:), intent(in)	mass_line_b,
		type(sll_t_matrix_csr)	matrix
	)

Set up 1d mass matrix (sparsity pattern and values)

Parameters

matrix

sparse matrix (containing mass matrix on output)

Definition at line 614 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_mass1d_clamped_full()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_mass1d_clamped_full	(	intent(in)	n_cells,
		intent(in)	deg,
		type(sll_t_spline_pp_1d), intent(in)	spline,
		type(sll_t_matrix_csr), intent(out)	matrix,
		procedure(sll_i_profile_function_1d)	profile
	)

Set up 1d mass matrix for specific spline degree and profile function.

Parameters

[in]	spline	pp-spline
[out]	matrix	sparse matrix (containing mass matrix on output)
	profile	profile function

Definition at line 678 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_mass1d_full()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_mass1d_full	(	intent(in)	n_cells,
		intent(in)	s_deg,
		type(sll_t_matrix_csr), intent(out)	matrix,
		procedure(sll_i_profile_function_1d)	profile
	)

Set up 1d mass matrix for specific spline degree and profile function.

Parameters

[out]	matrix	sparse matrix (containing mass matrix on output)
	profile	profile function

Definition at line 256 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_mixedmass1d()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_mixedmass1d	(	intent(in)	n_cells,
		intent(in)	s_deg,
		dimension(:), intent(in)	mass_line,
		type(sll_t_matrix_csr)	matrix
	)

Parameters

matrix

sparse matrix (containing mass matrix on output)

Definition at line 435 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_mixedmass1d_clamped_full()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_mixedmass1d_clamped_full	(	intent(in)	n_cells,
		intent(in)	deg1,
		intent(in)	deg2,
		type(sll_t_matrix_csr), intent(out)	matrix,
		procedure(sll_i_profile_function_1d)	profile,
		type(sll_t_spline_pp_1d), intent(in)	spline1,
		type(sll_t_spline_pp_1d), intent(in)	spline2
	)

Set up 1d mixed mass matrix for specific spline degrees and profile function.

Parameters

[out]	matrix	sparse matrix (containing mass matrix on output)
	profile	profile function
[in]	spline1	1D pp-spline
[in]	spline2	1D pp-spline

Definition at line 845 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_mixedmass1d_full()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_mixedmass1d_full	(	intent(in)	n_cells,
		intent(in)	deg1,
		intent(in)	deg2,
		type(sll_t_matrix_csr), intent(out)	matrix,
		procedure(sll_i_profile_function_1d)	profile
	)

Parameters

[out]	matrix	sparse matrix (containing mass matrix on output)
	profile	profile function

Definition at line 448 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_sparsity_mass()

subroutine, public sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_sparsity_mass	(	intent(in)	degree,
		intent(in)	n_cells,
		type(sll_t_matrix_csr), intent(out)	spmat
	)

Helper function to create sparsity pattern of the mass matrix.

Parameters

[out]

spmat

sparse matrix

Definition at line 52 of file sll_m_spline_fem_utilities_sparse.F90.

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sll_s_spline_fem_sparsity_mass_clamped()

subroutine sll_m_spline_fem_utilities_sparse::sll_s_spline_fem_sparsity_mass_clamped ( intent(in)  degree, intent(in)  n_cells, type(sll_t_matrix_csr), intent(out)  spmat  )

private

Helper function to create sparsity pattern of the clamped mass matrix.

Parameters

[out]

spmat

sparse matrix

Definition at line 471 of file sll_m_spline_fem_utilities_sparse.F90.

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