sll_t_maxwell_1d_fem Type Reference

Maxwell solver class. More...

Inheritance diagram for sll_t_maxwell_1d_fem:

Collaboration diagram for sll_t_maxwell_1d_fem:

Private Member Functions
procedure	compute_e_from_b => sll_s_compute_e_from_b_1d_fem
	Solve E and B part of Amperes law with B constant in time. More...
procedure	compute_b_from_e => sll_s_compute_b_from_e_1d_fem
	Solve Faraday equation with E constant in time. More...
procedure	compute_curl_part => sll_s_compute_curl_part_1d_fem
	Solve source-free Maxwell's equations. More...
procedure	compute_e_from_rho => sll_s_compute_e_from_rho_1d_fem
	Solve E from rho using Poisson. More...
procedure	compute_rho_from_e => compute_rho_from_e_1d_fem
	Compute rho from E. More...
procedure	compute_e_from_j => choose_interpolation
	choose compute_E_from_j_1d_fem or compute_E_from_j_1d_fem_shape More...
procedure	compute_phi_from_rho => compute_phi_from_rho_1d_fem
	Compute phi from rho (by solving the quasi-neutrality equation) More...
procedure	compute_phi_from_j => compute_phi_from_j_1d_fem
	Compute phi from j (dynamic of quasi-neutrality equation for adiabatic electrons) More...
procedure	compute_rhs_from_function => sll_s_compute_fem_rhs
	Compute integral over given function tested by the basis. More...
procedure	l2projection => l2projection_1d_fem
	Compute L_2 projection of a given function. More...
procedure	l2norm_squared => l2norm_squared_1d_fem
	Compute the square of the L2 norm of a given vector. More...
procedure	inner_product => inner_product_1d_fem
	Inner product of two dof-vectors with mass matrix. More...
procedure	init => init_1d_fem
	Initialize the Maxwell class. More...
procedure	free => free_1d_fem
	Free Maxwell class. More...
procedure	multiply_g
	Multiplication with gradient matrix. More...
procedure	multiply_gt
	Multiplication with divergence matrix. More...
procedure	invert_mass => invert_mass_1d_fem
	Invert mass matrix. More...
procedure	multiply_mass => multiply_mass_1d_fem
	Product with the mass matrix. More...
procedure	transform_dofs => transform_dofs_1d_fem
procedure	multiply_interpolation_inverse_transpose
procedure	solve_e_b => solve_e_b_1d_fem

Private Attributes
type(sll_t_linear_operator_schur_eb_1d)	linear_op_schur_eb
	Schur complement operator for advect_eb. More...
type(sll_t_linear_solver_mgmres)	linear_solver_schur_eb
	Schur complement solver for advect_eb. More...
type(sll_t_matrix_csr)	mass0
	0-form mass matrix More...
type(sll_t_matrix_csr)	mass1
	1-form mass matrix More...
type(sll_t_matrix_csr)	mixed_mass
	mixed mass matrix More...
type(sll_t_fft)	plan_fw
	fft plan (forward) More...
type(sll_t_fft)	plan_bw
	fft plan (backward) More...
logical	adiabatic_electrons
	Set true if solver with adiabatic electrions. More...
logical	strong_ampere = .false.
	flag to switch between strong and weak Ampere formulation More...

Detailed Description

Maxwell solver class.

Definition at line 67 of file sll_m_maxwell_1d_fem.F90.

Member Function/Subroutine Documentation

compute_b_from_e()

procedure compute_b_from_e

private

Solve Faraday equation with E constant in time.

Definition at line 106 of file sll_m_maxwell_1d_fem.F90.

compute_curl_part()

procedure compute_curl_part

private

Solve source-free Maxwell's equations.

Definition at line 108 of file sll_m_maxwell_1d_fem.F90.

compute_e_from_b()

procedure compute_e_from_b

private

Solve E and B part of Amperes law with B constant in time.

Definition at line 104 of file sll_m_maxwell_1d_fem.F90.

compute_e_from_j()

procedure compute_e_from_j

private

choose compute_E_from_j_1d_fem or compute_E_from_j_1d_fem_shape

Definition at line 114 of file sll_m_maxwell_1d_fem.F90.

compute_e_from_rho()

procedure compute_e_from_rho

private

Solve E from rho using Poisson.

Definition at line 110 of file sll_m_maxwell_1d_fem.F90.

compute_phi_from_j()

procedure compute_phi_from_j

private

Compute phi from j (dynamic of quasi-neutrality equation for adiabatic electrons)

Definition at line 118 of file sll_m_maxwell_1d_fem.F90.

compute_phi_from_rho()

procedure compute_phi_from_rho

private

Compute phi from rho (by solving the quasi-neutrality equation)

Definition at line 116 of file sll_m_maxwell_1d_fem.F90.

compute_rho_from_e()

procedure compute_rho_from_e

private

Compute rho from E.

Definition at line 112 of file sll_m_maxwell_1d_fem.F90.

compute_rhs_from_function()

procedure compute_rhs_from_function

private

Compute integral over given function tested by the basis.

Definition at line 120 of file sll_m_maxwell_1d_fem.F90.

free()

procedure free

private

Free Maxwell class.

Definition at line 130 of file sll_m_maxwell_1d_fem.F90.

init()

procedure init

private

Initialize the Maxwell class.

Definition at line 128 of file sll_m_maxwell_1d_fem.F90.

inner_product()

procedure inner_product

private

Inner product of two dof-vectors with mass matrix.

Definition at line 126 of file sll_m_maxwell_1d_fem.F90.

invert_mass()

procedure invert_mass

private

Invert mass matrix.

Definition at line 136 of file sll_m_maxwell_1d_fem.F90.

l2norm_squared()

procedure l2norm_squared

private

Compute the square of the L2 norm of a given vector.

Definition at line 124 of file sll_m_maxwell_1d_fem.F90.

l2projection()

procedure l2projection

private

Compute L_2 projection of a given function.

Definition at line 122 of file sll_m_maxwell_1d_fem.F90.

multiply_g()

procedure multiply_g

private

Multiplication with gradient matrix.

Definition at line 132 of file sll_m_maxwell_1d_fem.F90.

multiply_gt()

procedure multiply_gt

private

Multiplication with divergence matrix.

Definition at line 134 of file sll_m_maxwell_1d_fem.F90.

multiply_interpolation_inverse_transpose()

procedure multiply_interpolation_inverse_transpose

private

Definition at line 142 of file sll_m_maxwell_1d_fem.F90.

multiply_mass()

procedure multiply_mass

private

Product with the mass matrix.

Definition at line 138 of file sll_m_maxwell_1d_fem.F90.

solve_e_b()

procedure solve_e_b

private

Definition at line 144 of file sll_m_maxwell_1d_fem.F90.

transform_dofs()

procedure transform_dofs

private

Definition at line 140 of file sll_m_maxwell_1d_fem.F90.

Member Data Documentation

adiabatic_electrons

logical adiabatic_electrons

private

Set true if solver with adiabatic electrions.

Definition at line 100 of file sll_m_maxwell_1d_fem.F90.

linear_op_schur_eb

type( sll_t_linear_operator_schur_eb_1d ) linear_op_schur_eb

private

Schur complement operator for advect_eb.

Definition at line 69 of file sll_m_maxwell_1d_fem.F90.

linear_solver_schur_eb

type( sll_t_linear_solver_mgmres ) linear_solver_schur_eb

private

Schur complement solver for advect_eb.

Definition at line 70 of file sll_m_maxwell_1d_fem.F90.

mass0

type(sll_t_matrix_csr) mass0

private

0-form mass matrix

Definition at line 72 of file sll_m_maxwell_1d_fem.F90.

mass1

type(sll_t_matrix_csr) mass1

private

1-form mass matrix

Definition at line 73 of file sll_m_maxwell_1d_fem.F90.

mixed_mass

type(sll_t_matrix_csr) mixed_mass

private

mixed mass matrix

Definition at line 74 of file sll_m_maxwell_1d_fem.F90.

plan_bw

type(sll_t_fft) plan_bw

private

fft plan (backward)

Definition at line 95 of file sll_m_maxwell_1d_fem.F90.

plan_fw

type(sll_t_fft) plan_fw

private

fft plan (forward)

Definition at line 94 of file sll_m_maxwell_1d_fem.F90.

strong_ampere

logical strong_ampere = .false.

privateinherited

flag to switch between strong and weak Ampere formulation

tolerance for the field solver

Definition at line 35 of file sll_m_maxwell_1d_base.F90.