2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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2018-08-18 19:28:42 +05:30
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!> @brief Driver controlling inner and outer load case looping of the FEM solver
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2018-08-17 03:44:25 +05:30
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!> @details doing cutbacking, forwarding in case of restart, reporting statistics, writing
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!> results
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!--------------------------------------------------------------------------------------------------
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2018-08-18 19:28:42 +05:30
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program DAMASK_FEM
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2018-09-28 10:55:32 +05:30
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#include <petsc/finclude/petscsys.h>
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2019-06-11 13:18:07 +05:30
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use PetscDM
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use prec
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use DAMASK_interface
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use IO
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use math
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use CPFEM2
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use FEsolving
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use numerics
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use mesh
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use FEM_Utilities
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use FEM_mech
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implicit none
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2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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! variables related to information from load case and geom file
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2019-06-11 13:18:07 +05:30
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integer, allocatable, dimension(:) :: chunkPos ! this is longer than needed for geometry parsing
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integer :: &
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N_def = 0 !< # of rate of deformation specifiers found in load case file
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character(len=65536) :: &
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line
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2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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! loop variables, convergence etc.
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2019-06-11 13:18:07 +05:30
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integer, parameter :: &
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subStepFactor = 2 !< for each substep, divide the last time increment by 2.0
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real(pReal) :: &
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time = 0.0_pReal, & !< elapsed time
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time0 = 0.0_pReal, & !< begin of interval
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timeinc = 0.0_pReal, & !< current time interval
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timeIncOld = 0.0_pReal, & !< previous time interval
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remainingLoadCaseTime = 0.0_pReal !< remaining time of current load case
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logical :: &
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guess, & !< guess along former trajectory
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stagIterate
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integer :: &
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i, &
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errorID, &
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cutBackLevel = 0, & !< cut back level \f$ t = \frac{t_{inc}}{2^l} \f$
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stepFraction = 0 !< fraction of current time interval
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integer :: &
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currentLoadcase = 0, & !< current load case
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currentFace = 0, &
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inc, & !< current increment in current load case
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totalIncsCounter = 0, & !< total # of increments
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convergedCounter = 0, & !< # of converged increments
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notConvergedCounter = 0, & !< # of non-converged increments
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fileUnit = 0, & !< file unit for reading load case and writing results
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myStat, &
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statUnit = 0, & !< file unit for statistics output
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lastRestartWritten = 0, & !< total increment No. at which last restart information was written
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stagIter, &
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component
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character(len=6) :: loadcase_string
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character(len=1024) :: &
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incInfo
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type(tLoadCase), allocatable, dimension(:) :: loadCases !< array of all load cases
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type(tSolutionState), allocatable, dimension(:) :: solres
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PetscInt :: faceSet, currentFaceSet
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PetscInt :: field, dimPlex
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PetscErrorCode :: ierr
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external :: &
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quit
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2018-09-21 11:55:35 +05:30
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2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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! init DAMASK (all modules)
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2019-06-11 13:18:07 +05:30
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call CPFEM_initAll
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write(6,'(/,a)') ' <<<+- DAMASK_FEM init -+>>>'
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2018-08-18 19:28:42 +05:30
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! reading basic information from load case file and allocate data structure containing load cases
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call DMGetDimension(geomMesh,dimPlex,ierr); CHKERRA(ierr) !< dimension of mesh (2D or 3D)
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nActiveFields = 1
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allocate(solres(nActiveFields))
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2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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! reading basic information from load case file and allocate data structure containing load cases
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2019-06-11 13:18:07 +05:30
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open(newunit=fileunit,iostat=myStat,file=trim(loadCaseFile),action='read')
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if (myStat /= 0) call IO_error(100,el=myStat,ext_msg=trim(loadCaseFile))
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do
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read(fileUnit, '(A)', iostat=myStat) line
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if ( myStat /= 0) exit
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if (IO_isBlank(line)) cycle ! skip empty lines
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chunkPos = IO_stringPos(line)
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do i = 1, chunkPos(1) ! reading compulsory parameters for loadcase
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select case (IO_lc(IO_stringValue(line,chunkPos,i)))
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case('$loadcase')
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N_def = N_def + 1
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end select
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enddo ! count all identifiers to allocate memory and do sanity check
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enddo
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allocate (loadCases(N_def))
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do i = 1, size(loadCases)
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allocate(loadCases(i)%fieldBC(nActiveFields))
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field = 1
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loadCases(i)%fieldBC(field)%ID = FIELD_MECH_ID
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enddo
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do i = 1, size(loadCases)
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do field = 1, nActiveFields
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select case (loadCases(i)%fieldBC(field)%ID)
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case(FIELD_MECH_ID)
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loadCases(i)%fieldBC(field)%nComponents = dimPlex !< X, Y (, Z) displacements
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allocate(loadCases(i)%fieldBC(field)%componentBC(loadCases(i)%fieldBC(field)%nComponents))
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do component = 1, loadCases(i)%fieldBC(field)%nComponents
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select case (component)
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case (1)
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loadCases(i)%fieldBC(field)%componentBC(component)%ID = COMPONENT_MECH_X_ID
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case (2)
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loadCases(i)%fieldBC(field)%componentBC(component)%ID = COMPONENT_MECH_Y_ID
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case (3)
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loadCases(i)%fieldBC(field)%componentBC(component)%ID = COMPONENT_MECH_Z_ID
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end select
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enddo
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end select
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do component = 1, loadCases(i)%fieldBC(field)%nComponents
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allocate(loadCases(i)%fieldBC(field)%componentBC(component)%Value(mesh_Nboundaries), source = 0.0_pReal)
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allocate(loadCases(i)%fieldBC(field)%componentBC(component)%Mask (mesh_Nboundaries), source = .false.)
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enddo
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enddo
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enddo
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2018-08-18 19:28:42 +05:30
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2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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! reading the load case and assign values to the allocated data structure
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2019-06-11 13:18:07 +05:30
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rewind(fileUnit)
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do
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read(fileUnit, '(A)', iostat=myStat) line
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if ( myStat /= 0) exit
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if (IO_isBlank(line)) cycle ! skip empty lines
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chunkPos = IO_stringPos(line)
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do i = 1, chunkPos(1)
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select case (IO_lc(IO_stringValue(line,chunkPos,i)))
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2018-08-18 19:28:42 +05:30
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!--------------------------------------------------------------------------------------------------
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! loadcase information
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2019-06-11 13:18:07 +05:30
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case('$loadcase')
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currentLoadCase = IO_intValue(line,chunkPos,i+1)
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case('face')
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currentFace = IO_intValue(line,chunkPos,i+1)
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currentFaceSet = -1
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do faceSet = 1, mesh_Nboundaries
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if (mesh_boundaries(faceSet) == currentFace) currentFaceSet = faceSet
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enddo
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if (currentFaceSet < 0) call IO_error(error_ID = errorID, ext_msg = 'invalid BC')
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case('t','time','delta') ! increment time
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loadCases(currentLoadCase)%time = IO_floatValue(line,chunkPos,i+1)
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case('n','incs','increments','steps') ! number of increments
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loadCases(currentLoadCase)%incs = IO_intValue(line,chunkPos,i+1)
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case('logincs','logincrements','logsteps') ! number of increments (switch to log time scaling)
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loadCases(currentLoadCase)%incs = IO_intValue(line,chunkPos,i+1)
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loadCases(currentLoadCase)%logscale = 1
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case('freq','frequency','outputfreq') ! frequency of result writings
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loadCases(currentLoadCase)%outputfrequency = IO_intValue(line,chunkPos,i+1)
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case('r','restart','restartwrite') ! frequency of writing restart information
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loadCases(currentLoadCase)%restartfrequency = &
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max(0,IO_intValue(line,chunkPos,i+1))
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case('guessreset','dropguessing')
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loadCases(currentLoadCase)%followFormerTrajectory = .false. ! do not continue to predict deformation along former trajectory
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2018-08-18 19:28:42 +05:30
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!--------------------------------------------------------------------------------------------------
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! boundary condition information
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2019-06-11 13:18:07 +05:30
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case('x') ! X displacement field
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do field = 1, nActiveFields
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if (loadCases(currentLoadCase)%fieldBC(field)%ID == FIELD_MECH_ID) then
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do component = 1, loadcases(currentLoadCase)%fieldBC(field)%nComponents
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if (loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%ID == COMPONENT_MECH_X_ID) then
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loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Mask (currentFaceSet) = &
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.true.
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loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Value(currentFaceSet) = &
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IO_floatValue(line,chunkPos,i+1)
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endif
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enddo
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endif
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enddo
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case('y') ! Y displacement field
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do field = 1, nActiveFields
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if (loadCases(currentLoadCase)%fieldBC(field)%ID == FIELD_MECH_ID) then
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do component = 1, loadcases(currentLoadCase)%fieldBC(field)%nComponents
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if (loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%ID == COMPONENT_MECH_Y_ID) then
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loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Mask (currentFaceSet) = &
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.true.
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loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Value(currentFaceSet) = &
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IO_floatValue(line,chunkPos,i+1)
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endif
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enddo
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endif
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enddo
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case('z') ! Z displacement field
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do field = 1, nActiveFields
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if (loadCases(currentLoadCase)%fieldBC(field)%ID == FIELD_MECH_ID) then
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do component = 1, loadcases(currentLoadCase)%fieldBC(field)%nComponents
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if (loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%ID == COMPONENT_MECH_Z_ID) then
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loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Mask (currentFaceSet) = &
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.true.
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loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Value(currentFaceSet) = &
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IO_floatValue(line,chunkPos,i+1)
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endif
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enddo
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endif
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enddo
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end select
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enddo; enddo
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close(fileUnit)
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2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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! consistency checks and output of load case
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2019-06-11 13:18:07 +05:30
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loadCases(1)%followFormerTrajectory = .false. ! cannot guess along trajectory for first inc of first currentLoadCase
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errorID = 0
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checkLoadcases: do currentLoadCase = 1, size(loadCases)
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write (loadcase_string, '(i6)' ) currentLoadCase
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write(6,'(1x,a,i6)') 'load case: ', currentLoadCase
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if (.not. loadCases(currentLoadCase)%followFormerTrajectory) &
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write(6,'(2x,a)') 'drop guessing along trajectory'
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do field = 1, nActiveFields
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select case (loadCases(currentLoadCase)%fieldBC(field)%ID)
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case(FIELD_MECH_ID)
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write(6,'(2x,a)') 'Field '//trim(FIELD_MECH_label)
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end select
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do faceSet = 1, mesh_Nboundaries
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do component = 1, loadCases(currentLoadCase)%fieldBC(field)%nComponents
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if (loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Mask(faceSet)) &
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write(6,'(4x,a,i2,a,i2,a,f12.7)') 'Face ', mesh_boundaries(faceSet), &
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' Component ', component, &
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' Value ', loadCases(currentLoadCase)%fieldBC(field)% &
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componentBC(component)%Value(faceSet)
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enddo
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enddo
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enddo
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write(6,'(2x,a,f12.6)') 'time: ', loadCases(currentLoadCase)%time
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if (loadCases(currentLoadCase)%incs < 1) errorID = 835 ! non-positive incs count
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write(6,'(2x,a,i5)') 'increments: ', loadCases(currentLoadCase)%incs
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if (loadCases(currentLoadCase)%outputfrequency < 1) errorID = 836 ! non-positive result frequency
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write(6,'(2x,a,i5)') 'output frequency: ', &
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loadCases(currentLoadCase)%outputfrequency
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write(6,'(2x,a,i5,/)') 'restart frequency: ', &
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loadCases(currentLoadCase)%restartfrequency
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if (errorID > 0) call IO_error(error_ID = errorID, ext_msg = loadcase_string) ! exit with error message
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enddo checkLoadcases
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2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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2018-09-28 11:19:52 +05:30
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! doing initialization depending on active solvers
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2019-06-11 13:18:07 +05:30
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call Utilities_init
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do field = 1, nActiveFields
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select case (loadCases(1)%fieldBC(field)%ID)
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case(FIELD_MECH_ID)
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call FEM_mech_init(loadCases(1)%fieldBC(field))
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end select
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enddo
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2019-09-23 04:26:37 +05:30
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open(newunit=statUnit,file=trim(getSolverJobName())//'.sta',form='FORMATTED',status='REPLACE')
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write(statUnit,'(a)') 'Increment Time CutbackLevel Converged IterationsNeeded' ! statistics file
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2019-06-11 13:18:07 +05:30
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loadCaseLooping: do currentLoadCase = 1, size(loadCases)
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time0 = time ! load case start time
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guess = loadCases(currentLoadCase)%followFormerTrajectory ! change of load case? homogeneous guess for the first inc
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incLooping: do inc = 1, loadCases(currentLoadCase)%incs
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totalIncsCounter = totalIncsCounter + 1
|
2018-08-17 03:44:25 +05:30
|
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|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
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! forwarding time
|
2019-06-11 13:18:07 +05:30
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timeIncOld = timeinc ! last timeinc that brought former inc to an end
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if (loadCases(currentLoadCase)%logscale == 0) then ! linear scale
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timeinc = loadCases(currentLoadCase)%time/real(loadCases(currentLoadCase)%incs,pReal)
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else
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if (currentLoadCase == 1) then ! 1st load case of logarithmic scale
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if (inc == 1) then ! 1st inc of 1st load case of logarithmic scale
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timeinc = loadCases(1)%time*(2.0_pReal**real( 1-loadCases(1)%incs ,pReal)) ! assume 1st inc is equal to 2nd
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|
else ! not-1st inc of 1st load case of logarithmic scale
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timeinc = loadCases(1)%time*(2.0_pReal**real(inc-1-loadCases(1)%incs ,pReal))
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|
endif
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else ! not-1st load case of logarithmic scale
|
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|
timeinc = time0 * &
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( (1.0_pReal + loadCases(currentLoadCase)%time/time0 )**(real( inc,pReal)/&
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real(loadCases(currentLoadCase)%incs ,pReal))&
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-(1.0_pReal + loadCases(currentLoadCase)%time/time0 )**(real( inc-1 ,pReal)/&
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real(loadCases(currentLoadCase)%incs ,pReal)))
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endif
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endif
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timeinc = timeinc * real(subStepFactor,pReal)**real(-cutBackLevel,pReal) ! depending on cut back level, decrease time step
|
|
|
|
|
|
2019-06-15 19:18:47 +05:30
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|
skipping: if (totalIncsCounter <= interface_restartInc) then ! not yet at restart inc?
|
2019-06-11 13:18:07 +05:30
|
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|
time = time + timeinc ! just advance time, skip already performed calculation
|
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|
|
guess = .true.
|
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|
else skipping
|
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|
|
stepFraction = 0 ! fraction scaled by stepFactor**cutLevel
|
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|
subStepLooping: do while (stepFraction < subStepFactor**cutBackLevel)
|
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|
remainingLoadCaseTime = loadCases(currentLoadCase)%time+time0 - time
|
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|
time = time + timeinc ! forward target time
|
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|
stepFraction = stepFraction + 1 ! count step
|
2018-08-18 19:28:42 +05:30
|
|
|
|
2018-08-17 03:44:25 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
2018-09-28 11:19:52 +05:30
|
|
|
! report begin of new step
|
2019-06-11 13:18:07 +05:30
|
|
|
write(6,'(/,a)') ' ###########################################################################'
|
|
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|
|
write(6,'(1x,a,es12.5'//&
|
|
|
|
|
',a,'//IO_intOut(inc)//',a,'//IO_intOut(loadCases(currentLoadCase)%incs)//&
|
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|
|
',a,'//IO_intOut(stepFraction)//',a,'//IO_intOut(subStepFactor**cutBackLevel)//&
|
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|
|
',a,'//IO_intOut(currentLoadCase)//',a,'//IO_intOut(size(loadCases))//')') &
|
|
|
|
|
'Time', time, &
|
|
|
|
|
's: Increment ', inc, '/', loadCases(currentLoadCase)%incs,&
|
|
|
|
|
'-', stepFraction, '/', subStepFactor**cutBackLevel,&
|
|
|
|
|
' of load case ', currentLoadCase,'/',size(loadCases)
|
|
|
|
|
write(incInfo,&
|
2018-09-28 11:19:52 +05:30
|
|
|
'(a,'//IO_intOut(totalIncsCounter)//&
|
|
|
|
|
',a,'//IO_intOut(sum(loadCases%incs))//&
|
|
|
|
|
',a,'//IO_intOut(stepFraction)//&
|
|
|
|
|
',a,'//IO_intOut(subStepFactor**cutBackLevel)//')') &
|
2018-08-17 03:44:25 +05:30
|
|
|
'Increment ',totalIncsCounter,'/',sum(loadCases%incs),&
|
2018-08-18 19:28:42 +05:30
|
|
|
'-',stepFraction, '/', subStepFactor**cutBackLevel
|
2019-06-11 13:18:07 +05:30
|
|
|
flush(6)
|
2018-08-17 03:44:25 +05:30
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! forward fields
|
2019-06-11 13:18:07 +05:30
|
|
|
do field = 1, nActiveFields
|
|
|
|
|
select case (loadCases(currentLoadCase)%fieldBC(field)%ID)
|
|
|
|
|
case(FIELD_MECH_ID)
|
|
|
|
|
call FEM_mech_forward (&
|
|
|
|
|
guess,timeinc,timeIncOld,loadCases(currentLoadCase)%fieldBC(field))
|
2018-08-17 03:44:25 +05:30
|
|
|
|
2019-06-11 13:18:07 +05:30
|
|
|
end select
|
|
|
|
|
enddo
|
2018-08-18 19:28:42 +05:30
|
|
|
|
2018-08-17 03:44:25 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! solve fields
|
2019-06-11 13:18:07 +05:30
|
|
|
stagIter = 0
|
|
|
|
|
stagIterate = .true.
|
|
|
|
|
do while (stagIterate)
|
|
|
|
|
do field = 1, nActiveFields
|
|
|
|
|
select case (loadCases(currentLoadCase)%fieldBC(field)%ID)
|
|
|
|
|
case(FIELD_MECH_ID)
|
|
|
|
|
solres(field) = FEM_mech_solution (&
|
|
|
|
|
incInfo,timeinc,timeIncOld,loadCases(currentLoadCase)%fieldBC(field))
|
|
|
|
|
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
if(.not. solres(field)%converged) exit ! no solution found
|
|
|
|
|
|
|
|
|
|
enddo
|
|
|
|
|
stagIter = stagIter + 1
|
|
|
|
|
stagIterate = stagIter < stagItMax &
|
|
|
|
|
.and. all(solres(:)%converged) &
|
|
|
|
|
.and. .not. all(solres(:)%stagConverged) ! stationary with respect to staggered iteration
|
|
|
|
|
enddo
|
2018-08-18 19:28:42 +05:30
|
|
|
|
|
|
|
|
! check solution
|
2019-06-11 13:18:07 +05:30
|
|
|
cutBack = .False.
|
|
|
|
|
if(.not. all(solres(:)%converged .and. solres(:)%stagConverged)) then ! no solution found
|
|
|
|
|
if (cutBackLevel < maxCutBack) then ! do cut back
|
|
|
|
|
write(6,'(/,a)') ' cut back detected'
|
|
|
|
|
cutBack = .True.
|
|
|
|
|
stepFraction = (stepFraction - 1) * subStepFactor ! adjust to new denominator
|
|
|
|
|
cutBackLevel = cutBackLevel + 1
|
|
|
|
|
time = time - timeinc ! rewind time
|
|
|
|
|
timeinc = timeinc/2.0_pReal
|
|
|
|
|
else ! default behavior, exit if spectral solver does not converge
|
|
|
|
|
call IO_warning(850)
|
|
|
|
|
call quit(-1*(lastRestartWritten+1)) ! quit and provide information about last restart inc written
|
|
|
|
|
endif
|
|
|
|
|
else
|
|
|
|
|
guess = .true. ! start guessing after first converged (sub)inc
|
|
|
|
|
timeIncOld = timeinc
|
|
|
|
|
endif
|
|
|
|
|
if (.not. cutBack) then
|
|
|
|
|
if (worldrank == 0) write(statUnit,*) totalIncsCounter, time, cutBackLevel, &
|
|
|
|
|
solres%converged, solres%iterationsNeeded ! write statistics about accepted solution
|
|
|
|
|
endif
|
|
|
|
|
enddo subStepLooping
|
|
|
|
|
|
|
|
|
|
cutBackLevel = max(0, cutBackLevel - 1) ! try half number of subincs next inc
|
|
|
|
|
|
|
|
|
|
if (all(solres(:)%converged)) then
|
|
|
|
|
convergedCounter = convergedCounter + 1
|
|
|
|
|
write(6,'(/,a,'//IO_intOut(totalIncsCounter)//',a)') & ! report converged inc
|
|
|
|
|
' increment ', totalIncsCounter, ' converged'
|
|
|
|
|
else
|
|
|
|
|
notConvergedCounter = notConvergedCounter + 1
|
|
|
|
|
write(6,'(/,a,'//IO_intOut(totalIncsCounter)//',a)') & ! report non-converged inc
|
|
|
|
|
' increment ', totalIncsCounter, ' NOT converged'
|
|
|
|
|
endif; flush(6)
|
|
|
|
|
|
|
|
|
|
if (mod(inc,loadCases(currentLoadCase)%outputFrequency) == 0) then ! at output frequency
|
|
|
|
|
write(6,'(1/,a)') ' ... writing results to file ......................................'
|
|
|
|
|
call CPFEM_results(totalIncsCounter,time)
|
|
|
|
|
endif
|
|
|
|
|
if ( loadCases(currentLoadCase)%restartFrequency > 0 & ! writing of restart info requested ...
|
|
|
|
|
.and. mod(inc,loadCases(currentLoadCase)%restartFrequency) == 0) then ! ... and at frequency of writing restart information
|
|
|
|
|
restartWrite = .true. ! set restart parameter for FEsolving
|
|
|
|
|
lastRestartWritten = inc ! first call to CPFEM_general will write
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
endif skipping
|
2018-08-17 03:44:25 +05:30
|
|
|
|
|
|
|
|
enddo incLooping
|
2018-09-28 11:36:22 +05:30
|
|
|
|
2019-06-11 13:18:07 +05:30
|
|
|
enddo loadCaseLooping
|
2018-08-17 03:44:25 +05:30
|
|
|
|
2018-09-28 11:36:22 +05:30
|
|
|
|
2018-08-17 03:44:25 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! report summary of whole calculation
|
2019-06-11 13:18:07 +05:30
|
|
|
write(6,'(/,a)') ' ###########################################################################'
|
|
|
|
|
write(6,'(1x,'//IO_intOut(convergedCounter)//',a,'//IO_intOut(notConvergedCounter + convergedCounter)//',a,f5.1,a)') &
|
|
|
|
|
convergedCounter, ' out of ', &
|
|
|
|
|
notConvergedCounter + convergedCounter, ' (', &
|
|
|
|
|
real(convergedCounter, pReal)/&
|
|
|
|
|
real(notConvergedCounter + convergedCounter,pReal)*100.0_pReal, ' %) increments converged!'
|
|
|
|
|
flush(6)
|
|
|
|
|
close(statUnit)
|
|
|
|
|
|
|
|
|
|
if (notConvergedCounter > 0) call quit(2) ! error if some are not converged
|
|
|
|
|
call quit(0) ! no complains ;)
|
2018-08-17 03:44:25 +05:30
|
|
|
|
2018-09-27 11:53:30 +05:30
|
|
|
end program DAMASK_FEM
|
