Description

This linear operator implements the compatible spline FEM operator for the curl part of Maxwell's equation (Schur complement operator) on uniform periodic grid The operator is implemented based on its diagonal form in Fouier space It also contains a dot_inverse that applies the inverse of the matrix (by inversion in Fouier space.

Author: Katharina Kormann

Derived types and interfaces
type	sll_t_linear_operator_maxwell_eb_schur

Functions/Subroutines
subroutine	create_maxwell_eb (self, eig_values_mass_0_1, eig_values_mass_0_2, eig_values_mass_0_3, eig_values_mass_1_1, eig_values_mass_1_2, eig_values_mass_1_3, n_dofs, delta_x)

subroutine	free_maxwell_eb (self)

subroutine	fft3d (self, array1d_x, array1d_y, array1d_z, n_dofs, inde, x, scratch1)
	Helper function. More...

subroutine	ifft3d (self, array1d_x, array1d_y, array1d_z, n_dofs, inde, scratch, y)
	Helper function. More...

subroutine	dot_maxwell_eb_fourier (self, x, y)

subroutine	inverse_dot_maxwell_eb_fourier (self, x, y)

subroutine	print_info_maxwell_eb (self)

subroutine	invert3d (mat, mat_inv)
	Helper function to invert 3x3 matrix. More...

Function/Subroutine Documentation

◆ create_maxwell_eb()

subroutine sll_m_linear_operator_maxwell_eb_schur::create_maxwell_eb	(	class(sll_t_linear_operator_maxwell_eb_schur), intent(inout)	self,
			eig_values_mass_0_1,
			eig_values_mass_0_2,
			eig_values_mass_0_3,
			eig_values_mass_1_1,
			eig_values_mass_1_2,
			eig_values_mass_1_3,
			n_dofs,
			delta_x
	)

private

Parameters

[in,out]	self	number of degrees of freedom
[in,out]	self	cell size

Definition at line 64 of file sll_m_linear_operator_maxwell_eb_schur.F90.

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◆ dot_maxwell_eb_fourier()

subroutine sll_m_linear_operator_maxwell_eb_schur::dot_maxwell_eb_fourier	(	class(sll_t_linear_operator_maxwell_eb_schur), intent(in)	self,
		dimension(:), intent(in)	x,
		dimension(:), intent(out)	y
	)

private

Definition at line 275 of file sll_m_linear_operator_maxwell_eb_schur.F90.

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◆ fft3d()

subroutine sll_m_linear_operator_maxwell_eb_schur::fft3d	(	class(sll_t_linear_operator_maxwell_eb_schur), intent(in)	self,
		dimension(:), intent(inout)	array1d_x,
		dimension(:), intent(inout)	array1d_y,
		dimension(:), intent(inout)	array1d_z,
		dimension(3), intent(in)	n_dofs,
		intent(in)	inde,
		dimension(:), intent(in)	x,
		dimension(:,:,:,:), intent(out)	scratch1
	)

private

Helper function.

Definition at line 169 of file sll_m_linear_operator_maxwell_eb_schur.F90.

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◆ free_maxwell_eb()

subroutine sll_m_linear_operator_maxwell_eb_schur::free_maxwell_eb ( class( sll_t_linear_operator_maxwell_eb_schur), intent(inout) self )

private

Definition at line 163 of file sll_m_linear_operator_maxwell_eb_schur.F90.

◆ ifft3d()

subroutine sll_m_linear_operator_maxwell_eb_schur::ifft3d	(	class(sll_t_linear_operator_maxwell_eb_schur), intent(in)	self,
		dimension(:), intent(inout)	array1d_x,
		dimension(:), intent(inout)	array1d_y,
		dimension(:), intent(inout)	array1d_z,
		dimension(3), intent(in)	n_dofs,
		intent(in)	inde,
		dimension(:,:,:,:), intent(inout)	scratch,
		dimension(:), intent(out)	y
	)

private

Helper function.

Definition at line 221 of file sll_m_linear_operator_maxwell_eb_schur.F90.

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◆ inverse_dot_maxwell_eb_fourier()

subroutine sll_m_linear_operator_maxwell_eb_schur::inverse_dot_maxwell_eb_fourier	(	class(sll_t_linear_operator_maxwell_eb_schur), intent(in)	self,
		dimension(:), intent(in)	x,
		dimension(:), intent(out)	y
	)