sll_m_preconditioner_curl_solver_fft Module Reference

Description

Invert a circulant matrix based on diagonalization in Fourier space (3d version)

Authors

Benedikt Perse

Derived types and interfaces
type	sll_t_preconditioner_curl_solver_fft
	Linear solver for FFT-based inversion of 3d tensor product of circulant matrices (extending the abstract linear solver class) More...

Functions/Subroutines
subroutine	create_preconditioner (self, n_dofs, delta_x, degree)
subroutine	solve_real_preconditioner (self, rhs, unknown)
subroutine	fft3d (self, array1d_x, array1d_y, array1d_z, inde, x, scratch1)
	Helper function. More...
subroutine	ifft3d (self, array1d_x, array1d_y, array1d_z, inde, scratch, y)
	Helper function. More...
subroutine	invert3d (mat, mat_inv)
	Helper function to invert 3x3 matrix. More...
subroutine	read_from_file_preconditioner (self, filename)
subroutine	print_info_preconditioner (self)
subroutine	set_verbose_preconditioner (self, verbose)
subroutine	free_preconditioner (self)

Function/Subroutine Documentation

create_preconditioner()

subroutine sll_m_preconditioner_curl_solver_fft::create_preconditioner ( class( sll_t_preconditioner_curl_solver_fft), intent(inout)  self, integer(kind=i32), dimension(3)  n_dofs, real(kind=f64), dimension(3)  delta_x, integer(kind=i32), dimension(3)  degree  )

private

Parameters

[in,out]	self	Fourier solver
	n_dofs	number of degrees of freedom
	delta_x	cell size

Definition at line 70 of file sll_m_preconditioner_curl_solver_fft.F90.

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fft3d()

subroutine sll_m_preconditioner_curl_solver_fft::fft3d ( class( sll_t_preconditioner_curl_solver_fft), intent(inout)  self, complex(kind=f64), dimension(:), intent(inout)  array1d_x, complex(kind=f64), dimension(:), intent(inout)  array1d_y, complex(kind=f64), dimension(:), intent(inout)  array1d_z, integer(kind=i32), intent(in)  inde, real(kind=f64), dimension(:), intent(in)  x, complex(kind=f64), dimension(:,:,:,:), intent(out)  scratch1  )

private

Helper function.

Parameters

[in,out]

self

Fourier solver

Definition at line 336 of file sll_m_preconditioner_curl_solver_fft.F90.

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free_preconditioner()

subroutine sll_m_preconditioner_curl_solver_fft::free_preconditioner ( class( sll_t_preconditioner_curl_solver_fft), intent(inout)  self )

private

Parameters

[in,out]

self

Fourier solver

Definition at line 485 of file sll_m_preconditioner_curl_solver_fft.F90.

ifft3d()

subroutine sll_m_preconditioner_curl_solver_fft::ifft3d ( class( sll_t_preconditioner_curl_solver_fft), intent(inout)  self, complex(kind=f64), dimension(:), intent(inout)  array1d_x, complex(kind=f64), dimension(:), intent(inout)  array1d_y, complex(kind=f64), dimension(:), intent(inout)  array1d_z, integer(kind=i32), intent(in)  inde, complex(kind=f64), dimension(:,:,:,:), intent(inout)  scratch, real(kind=f64), dimension(:), intent(out)  y  )

private

Helper function.

Parameters

[in,out]

self

Fourier solver

Definition at line 387 of file sll_m_preconditioner_curl_solver_fft.F90.

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invert3d()

subroutine sll_m_preconditioner_curl_solver_fft::invert3d ( complex(kind=f64), dimension(3,3), intent(in)  mat, complex(kind=f64), dimension(3,3), intent(out)  mat_inv  )

private

Helper function to invert 3x3 matrix.

Definition at line 441 of file sll_m_preconditioner_curl_solver_fft.F90.

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print_info_preconditioner()

subroutine sll_m_preconditioner_curl_solver_fft::print_info_preconditioner ( class( sll_t_preconditioner_curl_solver_fft), intent(in)  self )

private

Parameters

[in]

self

Fourier solver

Definition at line 471 of file sll_m_preconditioner_curl_solver_fft.F90.

read_from_file_preconditioner()

subroutine sll_m_preconditioner_curl_solver_fft::read_from_file_preconditioner ( class( sll_t_preconditioner_curl_solver_fft), intent(inout)  self, character(len=*), intent(in)  filename  )

private

Parameters

[in,out]

self

Fourier solver

Definition at line 465 of file sll_m_preconditioner_curl_solver_fft.F90.

set_verbose_preconditioner()

subroutine sll_m_preconditioner_curl_solver_fft::set_verbose_preconditioner ( class( sll_t_preconditioner_curl_solver_fft), intent(inout)  self, logical, intent(in)  verbose  )

private

Parameters

[in,out]	self	Fourier solver
[in]	verbose	logical for convergence information

Definition at line 476 of file sll_m_preconditioner_curl_solver_fft.F90.

solve_real_preconditioner()

subroutine sll_m_preconditioner_curl_solver_fft::solve_real_preconditioner ( class( sll_t_preconditioner_curl_solver_fft), intent(inout)  self, real(kind=f64), dimension(:), intent(in)  rhs, real(kind=f64), dimension(:), intent(out)  unknown  )

private

Parameters

[in,out]	self	Fourier solver
[in]	rhs	given right-hand side
[out]	unknown	unknown-left hand side

Definition at line 187 of file sll_m_preconditioner_curl_solver_fft.F90.

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