sll_m_spline_fem_utilities_3d_clamped Module Reference

Description

Utilites for Maxwell solver's with spline finite elements using sparse matrices.

Author

Benedikt Perse

Functions/Subroutines
subroutine, public	sll_s_spline_fem_mass3d_clamped (n_cells, deg, component, matrix, profile, spline, n_cells_min, n_cells_max)
	Set up 3d clamped mass matrix for specific spline degrees and profile function. More...
subroutine	sll_s_spline_fem_mass_line_boundary (q, deg, profile, row, n_cells, component, mass_line, xw_gauss_d1, xw_gauss_d2, xw_gauss_d3, bspl_d1, bspl_d2, bspl_d3, spline)
subroutine, public	sll_s_spline_fem_mixedmass3d_clamped (n_cells, deg1, deg2, component, matrix, profile, spline1, spline2, n_cells_min, n_cells_max)
	Set up 3d clamped mixed mass matrix for specific spline degree and profile function. More...
subroutine	sll_s_spline_fem_mixedmass_line_boundary (q, deg1, deg2, profile, row, n_cells, component, mass_line, xw_gauss_d1, xw_gauss_d2, xw_gauss_d3, bspl_d1a, bspl_d2a, bspl_d3a, bspl_d1b, bspl_d2b, bspl_d3b, spline1, spline2)
	Computes the mixed mass line for a mass matrix with degree splines. More...
subroutine, public	sll_s_multiply_g_clamped (n_dofs, delta_x, s_deg_0, field_in, field_out)
	Multiply by dicrete gradient matrix. More...
subroutine, public	sll_s_multiply_gt_clamped (n_dofs, delta_x, s_deg_0, field_in, field_out)
	Multiply by transpose of dicrete gradient matrix. More...
subroutine, public	sll_s_multiply_c_clamped (n_dofs, delta_x, s_deg_0, field_in, field_out)
	Multiply by discrete curl matrix. More...
subroutine, public	sll_s_multiply_ct_clamped (n_dofs, delta_x, s_deg_0, field_in, field_out)
	Multiply by transpose of discrete curl matrix. More...
subroutine, public	sll_s_multiply_g_clamped_1d (n_dofs, delta_x, s_deg_0, in, out)
	Multiplication of the input vector in by the clamped derivative matrix G. More...
subroutine, public	sll_s_multiply_gt_clamped_1d (n_dofs, delta_x, s_deg_0, in, out)
	Multiplication of the input vector in by the transposed clamped derivative matrix G^T. More...

Function/Subroutine Documentation

sll_s_multiply_c_clamped()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_multiply_c_clamped	(	dimension(3), intent(in)	n_dofs,
		dimension(3), intent(in)	delta_x,
		dimension(3), intent(in)	s_deg_0,
		dimension(:), intent(in)	field_in,
		dimension(:), intent(out)	field_out
	)

Multiply by discrete curl matrix.

Definition at line 776 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_multiply_ct_clamped()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_multiply_ct_clamped	(	dimension(3), intent(in)	n_dofs,
		dimension(3), intent(in)	delta_x,
		dimension(3), intent(in)	s_deg_0,
		dimension(:), intent(in)	field_in,
		dimension(:), intent(out)	field_out
	)

Multiply by transpose of discrete curl matrix.

Definition at line 1002 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_multiply_g_clamped()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_multiply_g_clamped	(	dimension(3), intent(in)	n_dofs,
		dimension(3), intent(in)	delta_x,
		dimension(3), intent(in)	s_deg_0,
		dimension(:), intent(in)	field_in,
		dimension(:), intent(out)	field_out
	)

Multiply by dicrete gradient matrix.

Definition at line 538 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_multiply_g_clamped_1d()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_multiply_g_clamped_1d	(	intent(in)	n_dofs,
		intent(in)	delta_x,
		intent(in)	s_deg_0,
		dimension(:), intent(in)	in,
		dimension(:), intent(out)	out
	)

Multiplication of the input vector in by the clamped derivative matrix G.

Definition at line 1220 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_multiply_gt_clamped()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_multiply_gt_clamped	(	dimension(3), intent(in)	n_dofs,
		dimension(3), intent(in)	delta_x,
		dimension(3), intent(in)	s_deg_0,
		dimension(:), intent(in)	field_in,
		dimension(:), intent(out)	field_out
	)

Multiply by transpose of dicrete gradient matrix.

Definition at line 652 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_multiply_gt_clamped_1d()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_multiply_gt_clamped_1d	(	intent(in)	n_dofs,
		intent(in)	delta_x,
		intent(in)	s_deg_0,
		dimension(:), intent(in)	in,
		dimension(:), intent(out)	out
	)

Multiplication of the input vector in by the transposed clamped derivative matrix G^T.

Definition at line 1244 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_spline_fem_mass3d_clamped()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_spline_fem_mass3d_clamped	(	dimension(3), intent(in)	n_cells,
		dimension(3), intent(in)	deg,
		intent(in)	component,
		type(sll_t_matrix_csr), intent(out)	matrix,
		procedure(sll_i_profile_function)	profile,
		type(sll_t_spline_pp_1d), intent(in)	spline,
		dimension(3), intent(in)	n_cells_min,
		dimension(3), intent(in)	n_cells_max
	)

Set up 3d clamped mass matrix for specific spline degrees and profile function.

Parameters

[out]	matrix	sparse mass matrix
	profile	profile function
[in]	spline	1D pp-spline

Definition at line 53 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_spline_fem_mass_line_boundary()

subroutine sll_m_spline_fem_utilities_3d_clamped::sll_s_spline_fem_mass_line_boundary ( dimension(3), intent(in)  q, dimension(3), intent(in)  deg, procedure(sll_i_profile_function)  profile, dimension(3), intent(in)  row, dimension(3), intent(in)  n_cells, intent(in)  component, dimension((7*deg(1)**2-deg(1)-2)/2*(2*deg(2)+1)*(2*deg(3)+1)), intent(out)  mass_line, dimension(2, q(1)), intent(in)  xw_gauss_d1, dimension(2, q(2)), intent(in)  xw_gauss_d2, dimension(2, q(3)), intent(in)  xw_gauss_d3, dimension(deg(1)+1, q(1)), intent(in)  bspl_d1, dimension(deg(2)+1, q(2)), intent(in)  bspl_d2, dimension(deg(3)+1, q(3)), intent(in)  bspl_d3, type(sll_t_spline_pp_1d), intent(in)  spline  )

private

Parameters

	profile	profile function
[in]	spline	1D pp-spline

Definition at line 148 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_spline_fem_mixedmass3d_clamped()

subroutine, public sll_m_spline_fem_utilities_3d_clamped::sll_s_spline_fem_mixedmass3d_clamped	(	dimension(3), intent(in)	n_cells,
		dimension(3), intent(in)	deg1,
		dimension(3), intent(in)	deg2,
		dimension(2), intent(in)	component,
		type(sll_t_matrix_csr), intent(out)	matrix,
		procedure(sll_i_profile_function)	profile,
		type(sll_t_spline_pp_1d), intent(in)	spline1,
		type(sll_t_spline_pp_1d), intent(in)	spline2,
		dimension(3), intent(in)	n_cells_min,
		dimension(3), intent(in)	n_cells_max
	)

Set up 3d clamped mixed mass matrix for specific spline degree and profile function.

Parameters

[out]	matrix	sparse mass matrix
	profile	profile function
[in]	spline1	1D pp-spline
[in]	spline2	1D pp-spline

Definition at line 271 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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sll_s_spline_fem_mixedmass_line_boundary()

subroutine sll_m_spline_fem_utilities_3d_clamped::sll_s_spline_fem_mixedmass_line_boundary ( dimension(3), intent(in)  q, dimension(3), intent(in)  deg1, dimension(3), intent(in)  deg2, procedure(sll_i_profile_function)  profile, dimension(3), intent(in)  row, dimension(3), intent(in)  n_cells, dimension(2), intent(in)  component, dimension(deg1(3)+deg2(3)+1), intent(out)  mass_line, dimension(2, q(1)), intent(in)  xw_gauss_d1, dimension(2, q(2)), intent(in)  xw_gauss_d2, dimension(2, q(3)), intent(in)  xw_gauss_d3, dimension(deg1(1)+1, q(1)), intent(in)  bspl_d1a, dimension(deg1(2)+1, q(2)), intent(in)  bspl_d2a, dimension(deg1(3)+1, q(3)), intent(in)  bspl_d3a, dimension(deg2(1)+1, q(1)), intent(in)  bspl_d1b, dimension(deg2(2)+1, q(2)), intent(in)  bspl_d2b, dimension(deg2(3)+1, q(3)), intent(in)  bspl_d3b, type(sll_t_spline_pp_1d), intent(in)  spline1, type(sll_t_spline_pp_1d), intent(in)  spline2  )

private

Computes the mixed mass line for a mass matrix with degree splines.

Parameters

	profile	profile function
[in]	spline1	1D pp-spline
[in]	spline2	1D pp-spline

Definition at line 388 of file sll_m_spline_fem_utilities_3d_clamped.F90.

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