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.
195 lines
7.9 KiB
Fortran
195 lines
7.9 KiB
Fortran
!!$
|
|
!!$
|
|
!!$ MLD2P4 version 2.1
|
|
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
|
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.4)
|
|
!!$
|
|
!!$ (C) Copyright 2008, 2010, 2012, 2015, 2017
|
|
!!$
|
|
!!$ Salvatore Filippone Cranfield University
|
|
!!$ Ambra Abdullahi Hassan University of Rome Tor Vergata
|
|
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
|
|
!!$ Pasqua D'Ambra ICAR-CNR, Naples
|
|
!!$ Daniela di Serafino University of Campania "L. Vanvitelli", Caserta
|
|
!!$
|
|
!!$ Redistribution and use in source and binary forms, with or without
|
|
!!$ modification, are permitted provided that the following conditions
|
|
!!$ are met:
|
|
!!$ 1. Redistributions of source code must retain the above copyright
|
|
!!$ notice, this list of conditions and the following disclaimer.
|
|
!!$ 2. Redistributions in binary form must reproduce the above copyright
|
|
!!$ notice, this list of conditions, and the following disclaimer in the
|
|
!!$ documentation and/or other materials provided with the distribution.
|
|
!!$ 3. The name of the MLD2P4 group or the names of its contributors may
|
|
!!$ not be used to endorse or promote products derived from this
|
|
!!$ software without specific written permission.
|
|
!!$
|
|
!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|
!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
|
!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
|
|
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
|
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
|
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
|
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|
!!$ POSSIBILITY OF SUCH DAMAGE.
|
|
!!$
|
|
!!$
|
|
! File: mld_daggrmat_asb.f90
|
|
!
|
|
! Subroutine: mld_daggrmat_asb
|
|
! Version: real
|
|
!
|
|
! This routine builds a coarse-level matrix A_C from a fine-level matrix A
|
|
! by using the Galerkin approach, i.e.
|
|
!
|
|
! A_C = P_C^T A P_C,
|
|
!
|
|
! where P_C is a prolongator from the coarse level to the fine one.
|
|
!
|
|
! A mapping from the nodes of the adjacency graph of A to the nodes of the
|
|
! adjacency graph of A_C has been computed by the mld_aggrmap_bld subroutine.
|
|
! The prolongator P_C is built here from this mapping, according to the
|
|
! value of p%iprcparm(mld_aggr_kind_), specified by the user through
|
|
! mld_dprecinit and mld_zprecset.
|
|
! On output from this routine the entries of AC, op_prol, op_restr
|
|
! are still in "global numbering" mode; this is fixed in the calling routine
|
|
! mld_d_lev_aggrmat_asb.
|
|
!
|
|
! Currently four different prolongators are implemented, corresponding to
|
|
! four aggregation algorithms:
|
|
! 1. un-smoothed aggregation,
|
|
! 2. smoothed aggregation,
|
|
! 3. "bizarre" aggregation.
|
|
! 4. minimum energy
|
|
! 1. The non-smoothed aggregation uses as prolongator the piecewise constant
|
|
! interpolation operator corresponding to the fine-to-coarse level mapping built
|
|
! by mld_aggrmap_bld. This is called tentative prolongator.
|
|
! 2. The smoothed aggregation uses as prolongator the operator obtained by applying
|
|
! a damped Jacobi smoother to the tentative prolongator.
|
|
! 3. The "bizarre" aggregation uses a prolongator proposed by the authors of MLD2P4.
|
|
! This prolongator still requires a deep analysis and testing and its use is
|
|
! not recommended.
|
|
! 4. Minimum energy aggregation: ADD REFERENCE.
|
|
!
|
|
! For more details see
|
|
! M. Brezina and P. Vanek, A black-box iterative solver based on a two-level
|
|
! Schwarz method, Computing, 63 (1999), 233-263.
|
|
! P. D'Ambra, D. di Serafino and S. Filippone, On the development of PSBLAS-based
|
|
! parallel two-level Schwarz preconditioners, Appl. Num. Math., 57 (2007),
|
|
! 1181-1196.
|
|
!
|
|
!
|
|
!
|
|
! Arguments:
|
|
! a - type(psb_dspmat_type), input.
|
|
! The sparse matrix structure containing the local part of
|
|
! the fine-level matrix.
|
|
! desc_a - type(psb_desc_type), input.
|
|
! The communication descriptor of the fine-level matrix.
|
|
! p - type(mld_d_onelev_type), input/output.
|
|
! The 'one-level' data structure that will contain the local
|
|
! part of the matrix to be built as well as the information
|
|
! concerning the prolongator and its transpose.
|
|
! parms - type(mld_dml_parms), input
|
|
! Parameters controlling the choice of algorithm
|
|
! ac - type(psb_dspmat_type), output
|
|
! The coarse matrix on output
|
|
!
|
|
! ilaggr - integer, dimension(:), input
|
|
! The mapping between the row indices of the coarse-level
|
|
! matrix and the row indices of the fine-level matrix.
|
|
! ilaggr(i)=j means that node i in the adjacency graph
|
|
! of the fine-level matrix is mapped onto node j in the
|
|
! adjacency graph of the coarse-level matrix. Note that the indices
|
|
! are assumed to be shifted so as to make sure the ranges on
|
|
! the various processes do not overlap.
|
|
! nlaggr - integer, dimension(:) input
|
|
! nlaggr(i) contains the aggregates held by process i.
|
|
! op_prol - type(psb_dspmat_type), input/output
|
|
! The tentative prolongator on input, the computed prolongator on output
|
|
!
|
|
! op_restr - type(psb_dspmat_type), output
|
|
! The restrictor operator; normally, it is the transpose of the prolongator.
|
|
!
|
|
! info - integer, output.
|
|
! Error code.
|
|
!
|
|
subroutine mld_daggrmat_asb(a,desc_a,ilaggr,nlaggr,parms,ac,op_prol,op_restr,info)
|
|
|
|
use psb_base_mod
|
|
use mld_d_inner_mod, mld_protect_name => mld_daggrmat_asb
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_dspmat_type), intent(in) :: a
|
|
type(psb_desc_type), intent(in) :: desc_a
|
|
integer(psb_ipk_), intent(inout) :: ilaggr(:), nlaggr(:)
|
|
type(mld_dml_parms), intent(inout) :: parms
|
|
type(psb_dspmat_type), intent(inout) :: ac, op_prol,op_restr
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
! Local variables
|
|
type(psb_d_coo_sparse_mat) :: acoo, bcoo
|
|
type(psb_d_csr_sparse_mat) :: acsr1
|
|
integer(psb_ipk_) :: nzl,ntaggr, err_act
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
character(len=20) :: name
|
|
|
|
name='mld_aggrmat_asb'
|
|
if(psb_get_errstatus().ne.0) return
|
|
info=psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
|
|
|
|
ictxt = desc_a%get_context()
|
|
|
|
call psb_info(ictxt, me, np)
|
|
|
|
select case (parms%aggr_kind)
|
|
case (mld_no_smooth_)
|
|
|
|
call mld_daggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,&
|
|
& parms,ac,op_prol,op_restr,info)
|
|
|
|
case(mld_smooth_prol_)
|
|
|
|
call mld_daggrmat_smth_asb(a,desc_a,ilaggr,nlaggr, &
|
|
& parms,ac,op_prol,op_restr,info)
|
|
|
|
case(mld_biz_prol_)
|
|
|
|
call mld_daggrmat_biz_asb(a,desc_a,ilaggr,nlaggr, &
|
|
& parms,ac,op_prol,op_restr,info)
|
|
|
|
case(mld_min_energy_)
|
|
|
|
call mld_daggrmat_minnrg_asb(a,desc_a,ilaggr,nlaggr, &
|
|
& parms,ac,op_prol,op_restr,info)
|
|
|
|
case default
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,a_err='Invalid aggr kind')
|
|
goto 9999
|
|
|
|
end select
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='Inner aggrmat asb')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
|
|
return
|
|
|
|
end subroutine mld_daggrmat_asb
|