Choral
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DEFINITION OF FINITE ELEMENT METHODS More...
Functions/Subroutines | |
subroutine, public | scal_fe (val, nbDof, x, dim, ft) |
Evaluate FE basis functions at point x. More... | |
subroutine, public | scalgrad_fe (val, nbDof, x, dim, ft) |
Evaluate the gradient of the FE basis functions at point x. More... | |
subroutine, public | vect_fe (val, nbDof, x, dim, ft) |
Evaluate vector FE basis functions at point x. More... | |
subroutine, public | vectdiv_fe (val, nbDof, x, dim, ft) |
Evaluate the divergence of the vector FE basis functions at point x. More... | |
subroutine, public | fe_init (b) |
initialise FE_XXX arrays More... | |
subroutine | def_fe () |
Number of DOF for each FE method. More... | |
subroutine | def_fe_dof_type () |
DOF types. More... | |
subroutine | def_fe_dof_geo () |
DOF geometrical types. More... | |
subroutine | def_fe_dof_geoelmt () |
in the cell K : More... | |
subroutine | def_fe_dof_vtx () |
FE_DOF_VTX(1:n, i, f) = vertexes of the ref. cell associated to the dof i of the FE method f. More... | |
subroutine | def_fe_dof_bary () |
FE_DOF_BARY(1:n, i, f) = barycentric coordinates of the dof i of the FE method f. More... | |
subroutine | def_fe_func () |
Finite element function. More... | |
subroutine | def_fe_dof_nbvtx () |
FE DOF number of vertexes. More... | |
subroutine | def_fe_dim () |
set FE dimension More... | |
subroutine | def_fe_dof_coord () |
set FE dof coordinates More... | |
Variables | |
type(fe_functions), dimension(fe_tot_nb), public | fe_func |
FE_ARRAY Arrays describing finite element methods. More... | |
character(len=16), dimension(0:fe_tot_nb), public | fe_name |
Name for each fe method. More... | |
integer, dimension(fe_tot_nb), public | fe_nbdof |
Number of DOF for each fe method. More... | |
integer, dimension(fe_tot_nb), public | fe_geo |
Reference cell geometry for each fe method. More... | |
integer, dimension(fe_tot_nb), public | fe_dim |
Reference cell dimension for each fe method. More... | |
integer, dimension(fe_max_nbdof, fe_tot_nb), public | fe_dof_geo = -1 |
FE_DOF_GEO(i, j) = Geometric type of DOF i of the FE method j. More... | |
integer, dimension(fe_max_nbdof, fe_tot_nb), public | fe_dof_type = -1 |
FE_DOF_TYPE(i,j) = dof type of the DOF i of the FE method j (Lagrange, ...) More... | |
integer, dimension(fe_max_nbdof, fe_tot_nb), public | fe_dof_geoelmt = -1 |
For the FE method j : the associated reference cell is \( K_{ref} \) := FE_GEO(i) More... | |
integer, dimension(fe_max_nbdof, fe_tot_nb), public | fe_dof_nbvtx = -1 |
FE_DOF_NBVTX(i,j) = number of vertexes of the geometric element associated with the DOF i of the FE method j. More... | |
integer, dimension(cell_max_nbvtx, fe_max_nbdof, fe_tot_nb), public | fe_dof_vtx =-1 |
FE_DOF_VTX(1:n,i,j) = for the DOF i of the FE method j : More... | |
real(rp), dimension(cell_max_nbvtx, fe_max_nbdof, fe_tot_nb), public | fe_dof_bary =0._RP |
FE_DOF_BARY(1:n,i,j) = for the DOF i of the FE method j : More... | |
type(r_2d), dimension(fe_tot_nb), public | fe_dof_coord |
DOF node coordinates. More... | |
DEFINITION OF FINITE ELEMENT METHODS
Choral constants for finite eleemnt methods: FE_xxx, see the list.
DESCRIPTION: finite eleemnt methods are described by
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Number of DOF for each FE method.
Definition at line 276 of file fe_mod.F90.
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set FE dimension
Definition at line 979 of file fe_mod.F90.
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FE_DOF_BARY(1:n, i, f) = barycentric coordinates of the dof i of the FE method f.
on the ref cell : dof i coordinates = sum_{j<=n} bary(j) * vertex_j
with vertex_j = FE_DOF_VTX(j, i, f)
with n = FE_DIF_NBVTX(i,f)
Definition at line 776 of file fe_mod.F90.
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set FE dof coordinates
Definition at line 994 of file fe_mod.F90.
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DOF geometrical types.
Definition at line 445 of file fe_mod.F90.
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in the cell K :
FE_DOF_GEOELMT(i,f) = index of the geometrical element associated with the dof i of the FE method f
with : K = ref cell associated with the FE method f
Definition at line 549 of file fe_mod.F90.
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FE DOF number of vertexes.
Definition at line 960 of file fe_mod.F90.
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DOF types.
Definition at line 350 of file fe_mod.F90.
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FE_DOF_VTX(1:n, i, f) = vertexes of the ref. cell associated to the dof i of the FE method f.
with n = FE_DIF_NBVTX(i,f)
Definition at line 642 of file fe_mod.F90.
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Finite element function.
Definition at line 905 of file fe_mod.F90.
subroutine, public fe_mod::fe_init | ( | logical, intent(in) | b | ) |
initialise FE_XXX arrays
Definition at line 252 of file fe_mod.F90.
subroutine, public fe_mod::scal_fe | ( | real(rp), dimension(nbdof), intent(out) | val, |
integer, intent(in) | nbDof, | ||
real(rp), dimension(dim), intent(in) | x, | ||
integer, intent(in) | dim, | ||
integer, intent(in) | ft | ||
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Evaluate FE basis functions at point x.
val(ii) = u_i(x) for the fe method ft
Definition at line 136 of file fe_mod.F90.
subroutine, public fe_mod::scalgrad_fe | ( | real(rp), dimension(dim, nbdof), intent(out) | val, |
integer, intent(in) | nbDof, | ||
real(rp), dimension(dim), intent(in) | x, | ||
integer, intent(in) | dim, | ||
integer, intent(in) | ft | ||
) |
Evaluate the gradient of the FE basis functions at point x.
val(:,ii) = grad u_i(x) for the fe method ft
Definition at line 166 of file fe_mod.F90.
subroutine, public fe_mod::vect_fe | ( | real(rp), dimension(dim,nbdof), intent(out) | val, |
integer, intent(in) | nbDof, | ||
real(rp), dimension(dim), intent(in) | x, | ||
integer, intent(in) | dim, | ||
integer, intent(in) | ft | ||
) |
Evaluate vector FE basis functions at point x.
val(:,ii) = phi_i(x) for the fe method ft
Definition at line 195 of file fe_mod.F90.
subroutine, public fe_mod::vectdiv_fe | ( | real(rp), dimension(nbdof), intent(out) | val, |
integer, intent(in) | nbDof, | ||
real(rp), dimension(dim), intent(in) | x, | ||
integer, intent(in) | dim, | ||
integer, intent(in) | ft | ||
) |
Evaluate the divergence of the vector FE basis functions at point x.
val(ii) = div phi_i(x) for the fe method ft
Definition at line 225 of file fe_mod.F90.
integer, dimension(fe_tot_nb), public fe_mod::fe_dim |
Reference cell dimension for each fe method.
Definition at line 74 of file fe_mod.F90.
real(rp), dimension(cell_max_nbvtx,fe_max_nbdof,fe_tot_nb), public fe_mod::fe_dof_bary =0._RP |
FE_DOF_BARY(1:n,i,j) = for the DOF i of the FE method j :
barycentric coordinates of the node associated with that DOF relatively to the associated vertexes = FE_DOF_VTX(1:n,i,j)
with n = FE_DOF_NBVTX(i,j)
Definition at line 121 of file fe_mod.F90.
type(r_2d), dimension(fe_tot_nb), public fe_mod::fe_dof_coord |
DOF node coordinates.
Definition at line 125 of file fe_mod.F90.
integer, dimension(fe_max_nbdof,fe_tot_nb), public fe_mod::fe_dof_geo = -1 |
FE_DOF_GEO(i, j) = Geometric type of DOF i of the FE method j.
Definition at line 78 of file fe_mod.F90.
integer, dimension(fe_max_nbdof,fe_tot_nb), public fe_mod::fe_dof_geoelmt = -1 |
For the FE method j : the associated reference cell is \( K_{ref} \) := FE_GEO(i)
if FE_DOF_GEO(i,j) = CELL_VTX then FE_DOF_GEOELMT(i,j) = associated vertex index in the cell \( K_{ref} \)
if FE_DOF_GEO(i,j) = CELL_ED then FE_DOF_GEOELMT(i,j) = associated edge index in the cell \( K_{ref} \)
else FE_DOF_GEOELMT(i,j) = associated face index in the cell \( K_{ref} \)
Definition at line 99 of file fe_mod.F90.
integer, dimension(fe_max_nbdof,fe_tot_nb), public fe_mod::fe_dof_nbvtx = -1 |
FE_DOF_NBVTX(i,j) = number of vertexes of the geometric element associated with the DOF i of the FE method j.
Definition at line 104 of file fe_mod.F90.
integer, dimension(fe_max_nbdof,fe_tot_nb), public fe_mod::fe_dof_type = -1 |
FE_DOF_TYPE(i,j) = dof type of the DOF i of the FE method j (Lagrange, ...)
Definition at line 82 of file fe_mod.F90.
integer, dimension(cell_max_nbvtx,fe_max_nbdof,fe_tot_nb), public fe_mod::fe_dof_vtx =-1 |
FE_DOF_VTX(1:n,i,j) = for the DOF i of the FE method j :
vertexes of the geometric element associated with that DOF in \( K_{ref} \)
with n = FE_DOF_NBVTX(i,j)
Definition at line 112 of file fe_mod.F90.
type(fe_functions), dimension(fe_tot_nb), public fe_mod::fe_func |
FE_ARRAY Arrays describing finite element methods.
Finite element functions tab
Definition at line 62 of file fe_mod.F90.
integer, dimension(fe_tot_nb), public fe_mod::fe_geo |
Reference cell geometry for each fe method.
Definition at line 71 of file fe_mod.F90.
character(len=16), dimension(0:fe_tot_nb), public fe_mod::fe_name |
Name for each fe method.
Definition at line 65 of file fe_mod.F90.
integer, dimension(fe_tot_nb), public fe_mod::fe_nbdof |
Number of DOF for each fe method.
Definition at line 68 of file fe_mod.F90.