#include "precomp.h"

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Data Types
interface	pdespline::rebase

Modules
module	pdespline
	Module containing B-spline utilities for solvers.

Functions/Subroutines
subroutine, public	pdespline::initpde (nidbas, ns_, ds_, smin_, nchi_, dchi_, nphip_, dphi_, mmin_, mmax_, iquafor)
	Initialize the module. More...

real function, dimension(0:p)	pdespline::splines (z)
	Evaluate basis functions on point z in interval [0, 1]. More...

subroutine, public	pdespline::analytical_rhs (rhs)
	Project an analytical function on B-splines. More...

real function	analytical_function (ps, pchi, pphi)
	Analytical function of s, chi and phi. More...

subroutine	pdespline::rebase_r1d (v, nsel_which_mat)
	Multiply v by a boundary change of basis matrix. More...

subroutine	pdespline::rebase_r2d (v, nsel_which_mat)
	Call rebase_r1d for each index of second dimension of v. More...

subroutine	pdespline::rebase_c1d (v, nsel_which_mat)
	Complex version of rebase_r1d. More...

subroutine	pdespline::rebase_c2d (v, nsel_which_mat)
	Call rebase_c1d for each index of second dimension of v. More...

subroutine, public	pdespline::impose_bc (v)
	Impose boundary conditions on a vector before backsolve. More...

real function	pdespline::func_int_base (zs, zj)
	Flux surface average of theta basis function. More...

Variables
integer, save, public	pdespline::width_f
	Total width of diagonal filter as defined using `mmin_f` and `mmax_f` in the `def_matrix_filter` subroutine. Note that it may differ from `width_m` defined using the filter array. More...

integer, save, public	pdespline::nbmatf
	number of matrix per proc More...

integer, save	pdespline::p
	Spline order. More...

integer, save	pdespline::nsupp
	support in number of intervals of the spline function More...

integer, dimension(:), allocatable, save	pdespline::nlocad
	local 1D addresses of contributions of one spline function More...

integer, save	pdespline::ns
	Number of intervals in radial direction. More...

real, save	pdespline::ds
	Mesh size in radial direction. More...

real, save	pdespline::smin
	Lower bound of radial direction. More...

integer, save	pdespline::nchi
	Number of intervals in poloidal direction. More...

real, save	pdespline::dchi
	Mesh size in poloidal direction. More...

integer, save	pdespline::nphip
	Number of local intervals in toroidal direction. More...

real, save	pdespline::dphi
	Mesh size in toroidal direction. More...

integer, dimension(:,:), allocatable, save	pdespline::mmin
	minimum m value for Fourier solver More...

integer, dimension(:,:), allocatable, save	pdespline::mmax
	maximum m value for Fourier solver More...

real, dimension(:), allocatable, save	pdespline::splines_g
	basis functions at grid points More...

real, dimension(:,:), allocatable, save	pdespline::splines_q
	basis functions at quadrature points More...

real, dimension(10), save	pdespline::zqp
	Quadrature points. More...

real, dimension(10), save	pdespline::zqw
	Quadrature weights. More...

integer, save	pdespline::nq
	Number of quadrature points. More...

real, dimension(:,:), allocatable, save, public	pdespline::zwavg
	Weight function surface average. More...

Function/Subroutine Documentation

◆ analytical_function()

real function analytical_rhs::analytical_function	(	real, intent(in)	ps,
		real, intent(in)	pchi,
		real, intent(in)	pphi
	)

Analytical function of s, chi and phi.

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Data Types

Modules

Functions/Subroutines

Variables

Function/Subroutine Documentation

◆ analytical_function()