You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
114 lines
3.4 KiB
Fortran
114 lines
3.4 KiB
Fortran
module psb_s_genpde_mod
|
|
|
|
use psb_base_mod, only : psb_spk_, psb_ipk_, psb_desc_type,&
|
|
& psb_sspmat_type, psb_s_vect_type, szero,&
|
|
& psb_s_base_sparse_mat, psb_s_base_vect_type
|
|
|
|
interface
|
|
function s_func_3d(x,y,z) result(val)
|
|
import :: psb_spk_
|
|
real(psb_spk_), intent(in) :: x,y,z
|
|
real(psb_spk_) :: val
|
|
end function s_func_3d
|
|
end interface
|
|
|
|
interface psb_gen_pde3d
|
|
subroutine psb_s_gen_pde3d(ictxt,idim,a,bv,xv,desc_a,afmt,&
|
|
& a1,a2,a3,b1,b2,b3,c,g,info,f,amold,vmold)
|
|
!
|
|
! Discretizes the partial differential equation
|
|
!
|
|
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
|
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
|
! dxdx dydy dzdz dx dy dz
|
|
!
|
|
! with Dirichlet boundary conditions
|
|
! u = g
|
|
!
|
|
! on the unit cube 0<=x,y,z<=1.
|
|
!
|
|
!
|
|
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
|
!
|
|
import :: psb_ipk_, psb_desc_type, psb_sspmat_type, psb_s_vect_type, &
|
|
& s_func_3d, psb_s_base_sparse_mat, psb_s_base_vect_type
|
|
implicit none
|
|
procedure(s_func_3d) :: a1,a2,a3,c,b1,b2,b3,g
|
|
integer(psb_ipk_) :: idim
|
|
type(psb_sspmat_type) :: a
|
|
type(psb_s_vect_type) :: xv,bv
|
|
type(psb_desc_type) :: desc_a
|
|
integer(psb_ipk_) :: ictxt, info
|
|
character(len=*) :: afmt
|
|
procedure(s_func_3d), optional :: f
|
|
class(psb_s_base_sparse_mat), optional :: amold
|
|
class(psb_s_base_vect_type), optional :: vmold
|
|
end subroutine psb_s_gen_pde3d
|
|
end interface
|
|
|
|
|
|
interface
|
|
function s_func_2d(x,y) result(val)
|
|
import :: psb_spk_
|
|
real(psb_spk_), intent(in) :: x,y
|
|
real(psb_spk_) :: val
|
|
end function s_func_2d
|
|
end interface
|
|
|
|
interface psb_gen_pde2d
|
|
subroutine psb_s_gen_pde2d(ictxt,idim,a,bv,xv,desc_a,afmt,&
|
|
& a1,a2,b1,b2,c,g,info,f,amold,vmold)
|
|
!
|
|
! Discretizes the partial differential equation
|
|
!
|
|
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
|
|
! - ------ - ------ + ----- + ------ + c u = f
|
|
! dxdx dydy dx dy
|
|
!
|
|
! with Dirichlet boundary conditions
|
|
! u = g
|
|
!
|
|
! on the unit square 0<=x,y<=1.
|
|
!
|
|
!
|
|
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
|
|
!
|
|
import :: psb_ipk_, psb_desc_type, psb_sspmat_type, psb_s_vect_type,&
|
|
& s_func_2d, psb_s_base_sparse_mat, psb_s_base_vect_type
|
|
implicit none
|
|
procedure(s_func_2d) :: a1,a2,c,b1,b2,g
|
|
integer(psb_ipk_) :: idim
|
|
type(psb_sspmat_type) :: a
|
|
type(psb_s_vect_type) :: xv,bv
|
|
type(psb_desc_type) :: desc_a
|
|
integer(psb_ipk_) :: ictxt, info
|
|
character(len=*) :: afmt
|
|
procedure(s_func_2d), optional :: f
|
|
class(psb_s_base_sparse_mat), optional :: amold
|
|
class(psb_s_base_vect_type), optional :: vmold
|
|
end subroutine psb_s_gen_pde2d
|
|
end interface
|
|
|
|
contains
|
|
|
|
function s_null_func_3d(x,y,z) result(val)
|
|
|
|
real(psb_spk_), intent(in) :: x,y,z
|
|
real(psb_spk_) :: val
|
|
|
|
val = szero
|
|
|
|
end function s_null_func_3d
|
|
|
|
function s_null_func_2d(x,y) result(val)
|
|
|
|
real(psb_spk_), intent(in) :: x,y
|
|
real(psb_spk_) :: val
|
|
|
|
val = szero
|
|
|
|
end function s_null_func_2d
|
|
|
|
|
|
end module psb_s_genpde_mod
|