diffusion_equation.F90

PROGRAM DIFFUSION_EQUATION

  USE OpenCMISS
  USE OpenCMISS_Iron
#ifndef NOMPIMOD
  USE MPI
#endif

#ifdef WIN32
  USE IFQWIN
#endif

  IMPLICIT NONE

#ifdef NOMPIMOD
#include "mpif.h"
#endif

  !-----------------------------------------------------------------------------------------------------------
  ! PROGRAM VARIABLES AND TYPES
  !-----------------------------------------------------------------------------------------------------------
  
  !Test program parameters
  REAL(CMISSRP), PARAMETER :: HEIGHT=1.0_CMISSRP
  REAL(CMISSRP), PARAMETER :: WIDTH=1.0_CMISSRP
  REAL(CMISSRP), PARAMETER :: LENGTH=3.0_CMISSRP
  
  INTEGER(CMISSIntg), PARAMETER :: CoordinateSystemUserNumber=1
  INTEGER(CMISSIntg), PARAMETER :: RegionUserNumber=2
  INTEGER(CMISSIntg), PARAMETER :: BasisUserNumber=3
  INTEGER(CMISSIntg), PARAMETER :: GeneratedMeshUserNumber=4
  INTEGER(CMISSIntg), PARAMETER :: MeshUserNumber=5
  INTEGER(CMISSIntg), PARAMETER :: DecompositionUserNumber=6
  INTEGER(CMISSIntg), PARAMETER :: GeometricFieldUserNumber=7
  INTEGER(CMISSIntg), PARAMETER :: EquationsSetFieldUserNumber=8
  INTEGER(CMISSIntg), PARAMETER :: DependentFieldUserNumber=9
  INTEGER(CMISSIntg), PARAMETER :: MaterialsFieldUserNumber=10
  INTEGER(CMISSIntg), PARAMETER :: EquationsSetUserNumber=11
  INTEGER(CMISSIntg), PARAMETER :: ProblemUserNumber=12
  INTEGER(CMISSIntg), PARAMETER :: AnalyticFieldUserNumber=13

  !Program types
  
  !Program variables

  INTEGER(CMISSIntg) :: NUMBER_GLOBAL_X_ELEMENTS,NUMBER_GLOBAL_Y_ELEMENTS,NUMBER_GLOBAL_Z_ELEMENTS
  INTEGER(CMISSIntg) :: NUMBER_OF_DOMAINS
  
  INTEGER(CMISSIntg) :: MPI_IERROR

  !INTEGER(INTG) :: first_global_dof,first_local_dof,first_local_rank,last_global_dof,last_local_dof,last_local_rank,rank_idx
  !INTEGER(INTG) :: EQUATIONS_SET_INDEX
  !TYPE(DOMAIN_MAPPING_TYPE), POINTER :: DEPENDENT_DOF_MAPPING
  
  !CMISS variables
  TYPE(cmfe_BasisType) :: Basis
  TYPE(cmfe_CoordinateSystemType) :: CoordinateSystem,WorldCoordinateSystem
  TYPE(cmfe_DecompositionType) :: Decomposition
  TYPE(cmfe_EquationsType) :: Equations
  TYPE(cmfe_EquationsSetType) :: EquationsSet
  TYPE(cmfe_FieldType) :: GeometricField,EquationsSetField,DependentField,MaterialsField,AnalyticField
  TYPE(cmfe_FieldsType) :: Fields
  TYPE(cmfe_GeneratedMeshType) :: GeneratedMesh  
  TYPE(cmfe_MeshType) :: Mesh
  TYPE(cmfe_ProblemType) :: Problem
  TYPE(cmfe_ControlLoopType) :: ControlLoop
  TYPE(cmfe_RegionType) :: Region,WorldRegion
  TYPE(cmfe_SolverType) :: Solver, LinearSolver
  TYPE(cmfe_SolverEquationsType) :: SolverEquations
  TYPE(cmfe_BoundaryConditionsType) :: BoundaryConditions

  LOGICAL :: EXPORT_FIELD

#ifdef WIN32
  !Quickwin type
  LOGICAL :: QUICKWIN_STATUS=.FALSE.
  TYPE(WINDOWCONFIG) :: QUICKWIN_WINDOW_CONFIG
#endif
  
  !Generic CMISS variables
  INTEGER(CMISSIntg) :: NumberOfComputationalNodes,ComputationalNodeNumber
  INTEGER(CMISSIntg) :: EquationsSetIndex
  INTEGER(CMISSIntg) :: Err
  
#ifdef WIN32
  !Initialise QuickWin
  QUICKWIN_WINDOW_CONFIG%TITLE="General Output" !Window title
  QUICKWIN_WINDOW_CONFIG%NUMTEXTROWS=-1 !Max possible number of rows
  QUICKWIN_WINDOW_CONFIG%MODE=QWIN$SCROLLDOWN
  !Set the window parameters
  QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
  !If attempt fails set with system estimated values
  IF(.NOT.QUICKWIN_STATUS) QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
#endif

  !Intialise OpenCMISS
  CALL cmfe_Initialise(WorldCoordinateSystem,WorldRegion,Err)

  CALL cmfe_ErrorHandlingModeSet(CMFE_ERRORS_TRAP_ERROR,Err)

  !Get the computational nodes information
  CALL cmfe_ComputationalNumberOfNodesGet(numberOfComputationalNodes,err)
  CALL cmfe_ComputationalNodeNumberGet(computationalNodeNumber,err)

  NUMBER_GLOBAL_X_ELEMENTS=10
  NUMBER_GLOBAL_Y_ELEMENTS=10
  NUMBER_GLOBAL_Z_ELEMENTS=0
  NUMBER_OF_DOMAINS=NumberOfComputationalNodes

  !Set all diganostic levels on for testing
  CALL MPI_BCAST(NUMBER_GLOBAL_X_ELEMENTS,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)
  CALL MPI_BCAST(NUMBER_GLOBAL_Y_ELEMENTS,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)
  CALL MPI_BCAST(NUMBER_GLOBAL_Z_ELEMENTS,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)
  CALL MPI_BCAST(NUMBER_OF_DOMAINS,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)

  !-----------------------------------------------------------------------------------------------------------
  ! COORDINATE SYSTEM
  !----------------------------------------------------------------------------------------------------------- 
  
  !Start the creation of a new RC coordinate system
  CALL cmfe_CoordinateSystem_Initialise(CoordinateSystem,Err)
  CALL cmfe_CoordinateSystem_CreateStart(CoordinateSystemUserNumber,CoordinateSystem,Err)
  IF(NUMBER_GLOBAL_Z_ELEMENTS==0) THEN
    !Set the coordinate system to be 2D
    CALL cmfe_CoordinateSystem_DimensionSet(CoordinateSystem,2,Err)
  ELSE
    !Set the coordinate system to be 3D
    CALL cmfe_CoordinateSystem_DimensionSet(CoordinateSystem,3,Err)
  ENDIF
  !Finish the creation of the coordinate system
  CALL cmfe_CoordinateSystem_CreateFinish(CoordinateSystem,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! REGION
  !-----------------------------------------------------------------------------------------------------------
 
  !Start the creation of the region
  CALL cmfe_Region_Initialise(Region,Err)
  CALL cmfe_Region_CreateStart(RegionUserNumber,WorldRegion,Region,Err)
  CALL cmfe_Region_LabelSet(Region,"diffusion_equation",Err)
  !Set the regions coordinate system to the 2D RC coordinate system that we have created
  CALL cmfe_Region_CoordinateSystemSet(Region,CoordinateSystem,Err)
  !Finish the creation of the region
  CALL cmfe_Region_CreateFinish(Region,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! BASIS
  !----------------------------------------------------------------------------------------------------------  
  
  !Start the creation of a basis (default is trilinear lagrange)
  CALL cmfe_Basis_Initialise(Basis,Err)
  CALL cmfe_Basis_CreateStart(BasisUserNumber,Basis,Err)
  IF(NUMBER_GLOBAL_Z_ELEMENTS==0) THEN
    !Set the basis to be a bilinear Lagrange basis
    !CALL cmfe_Basis_TypeSet(Basis,CMFE_BASIS_LAGRANGE_HERMITE_TP_TYPE,Err)
    CALL cmfe_Basis_NumberOfXiSet(Basis,2,Err)
!    CALL cmfe_Basis_InterpolationXiSet(Basis,[3,3],Err)
!    CALL cmfe_Basis_QuadratureNumberOfGaussXiSet(Basis,[4,4],Err) 
  ELSE
    !Set the basis to be a trilinear Lagrange basis
    CALL cmfe_Basis_NumberOfXiSet(Basis,3,Err)
  ENDIF
  !Finish the creation of the basis
  CALL cmfe_Basis_CreateFinish(Basis,Err)

  !-----------------------------------------------------------------------------------------------------------
  ! REGION
  !-----------------------------------------------------------------------------------------------------------

  !Start the creation of a generated mesh in the region
  CALL cmfe_GeneratedMesh_Initialise(GeneratedMesh,Err)
  CALL cmfe_GeneratedMesh_CreateStart(GeneratedMeshUserNumber,Region,GeneratedMesh,Err)
  !Set up a regular x*y*z mesh
  CALL cmfe_GeneratedMesh_TypeSet(GeneratedMesh,CMFE_GENERATED_MESH_REGULAR_MESH_TYPE,Err)
  !Set the default basis
  CALL cmfe_GeneratedMesh_BasisSet(GeneratedMesh,Basis,Err)   
  !Define the mesh on the region
  IF(NUMBER_GLOBAL_Z_ELEMENTS==0) THEN
    CALL cmfe_GeneratedMesh_ExtentSet(GeneratedMesh,[WIDTH,HEIGHT],Err)
    CALL cmfe_GeneratedMesh_NumberOfElementsSet(GeneratedMesh,[NUMBER_GLOBAL_X_ELEMENTS,NUMBER_GLOBAL_Y_ELEMENTS],Err)
  ELSE
    CALL cmfe_GeneratedMesh_ExtentSet(GeneratedMesh,[WIDTH,HEIGHT,LENGTH],Err)
    CALL cmfe_GeneratedMesh_NumberOfElementsSet(GeneratedMesh,[NUMBER_GLOBAL_X_ELEMENTS,NUMBER_GLOBAL_Y_ELEMENTS, &
      & NUMBER_GLOBAL_Z_ELEMENTS],Err)
  ENDIF
  !Finish the creation of a generated mesh in the region
  CALL cmfe_Mesh_Initialise(Mesh,Err)
  CALL cmfe_GeneratedMesh_CreateFinish(GeneratedMesh,MeshUserNumber,Mesh,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! MESH DECOMPOSITION
  !----------------------------------------------------------------------------------------------------------- 
  
  !Create a decomposition
  CALL cmfe_Decomposition_Initialise(Decomposition,Err)
  CALL cmfe_Decomposition_CreateStart(DecompositionUserNumber,Mesh,Decomposition,Err)
  !Set the decomposition to be a general decomposition with the specified number of domains
  CALL cmfe_Decomposition_TypeSet(Decomposition,CMFE_DECOMPOSITION_CALCULATED_TYPE,Err)
  CALL cmfe_Decomposition_NumberOfDomainsSet(Decomposition,NUMBER_OF_DOMAINS,Err)
  !Finish the decomposition
  CALL cmfe_Decomposition_CreateFinish(Decomposition,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! GEOMETRIC FIELD
  !-----------------------------------------------------------------------------------------------------------  
  
  !Start to create a default (geometric) field on the region
  CALL cmfe_Field_Initialise(GeometricField,Err)
  CALL cmfe_Field_CreateStart(GeometricFieldUserNumber,Region,GeometricField,Err)
  !Set the decomposition to use
  CALL cmfe_Field_MeshDecompositionSet(GeometricField,Decomposition,Err)
  !Set the domain to be used by the field components.
  CALL cmfe_Field_ComponentMeshComponentSet(GeometricField,CMFE_FIELD_U_VARIABLE_TYPE,1,1,Err)
  CALL cmfe_Field_ComponentMeshComponentSet(GeometricField,CMFE_FIELD_U_VARIABLE_TYPE,2,1,Err)
  IF(NUMBER_GLOBAL_Z_ELEMENTS/=0) THEN
    CALL cmfe_Field_ComponentMeshComponentSet(GeometricField,CMFE_FIELD_U_VARIABLE_TYPE,3,1,Err)
  ENDIF
  !Finish creating the field
  CALL cmfe_Field_CreateFinish(GeometricField,Err)
  
  !Update the geometric field parameters
  CALL cmfe_GeneratedMesh_GeometricParametersCalculate(GeneratedMesh,GeometricField,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! EQUATIONS SETS
  !-----------------------------------------------------------------------------------------------------------  
 
  !Create the equations_set
  CALL cmfe_EquationsSet_Initialise(EquationsSet,Err)
  CALL cmfe_Field_Initialise(EquationsSetField,Err)
  CALL cmfe_EquationsSet_CreateStart(EquationsSetUserNumber,Region,GeometricField,[CMFE_EQUATIONS_SET_CLASSICAL_FIELD_CLASS, &
    & CMFE_EQUATIONS_SET_DIFFUSION_EQUATION_TYPE,CMFE_EQUATIONS_SET_NO_SOURCE_DIFFUSION_SUBTYPE],EquationsSetFieldUserNumber, &
    & EquationsSetField,EquationsSet,Err)
  !Set the equations set to be a standard Laplace problem
  
  !Finish creating the equations set
  CALL cmfe_EquationsSet_CreateFinish(EquationsSet,Err)

  !-----------------------------------------------------------------------------------------------------------
  ! DEPENDENT FIELD
  !-----------------------------------------------------------------------------------------------------------

  !Create the equations set dependent field variables
  CALL cmfe_Field_Initialise(DependentField,Err)
  CALL cmfe_EquationsSet_DependentCreateStart(EquationsSet,DependentFieldUserNumber,DependentField,Err)
  !Finish the equations set dependent field variables
  CALL cmfe_EquationsSet_DependentCreateFinish(EquationsSet,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! MATERIAL FIELD
  !-----------------------------------------------------------------------------------------------------------
  
  !Create the equations set material field variables
  CALL cmfe_Field_Initialise(MaterialsField,Err)
  CALL cmfe_EquationsSet_MaterialsCreateStart(EquationsSet,MaterialsFieldUserNumber,MaterialsField,Err)
  !Finish the equations set dependent field variables
  CALL cmfe_EquationsSet_MaterialsCreateFinish(EquationsSet,Err)

  !-----------------------------------------------------------------------------------------------------------
  ! ANALYTIC FIELD
  !-----------------------------------------------------------------------------------------------------------
  
  !Create the equations set analytic field variables
  CALL cmfe_Field_Initialise(AnalyticField,Err)
  IF(NUMBER_GLOBAL_Z_ELEMENTS==0) THEN  
    CALL cmfe_EquationsSet_AnalyticCreateStart(EquationsSet,CMFE_EQUATIONS_SET_DIFFUSION_EQUATION_TWO_DIM_1, &
      & AnalyticFieldUserNumber, &
      & AnalyticField,Err)
  ELSE
    WRITE(*,'(A)') "Three dimensions is not implemented."
    STOP
  ENDIF
  
  !Finish the equations set analytic field variables
  CALL cmfe_EquationsSet_AnalyticCreateFinish(EquationsSet,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! EQUATIONS
  !-----------------------------------------------------------------------------------------------------------  

  !Create the equations set equations
  CALL cmfe_Equations_Initialise(Equations,Err)
  CALL cmfe_EquationsSet_EquationsCreateStart(EquationsSet,Equations,Err)
  !Set the equations matrices sparsity type
  CALL cmfe_Equations_SparsityTypeSet(Equations,CMFE_EQUATIONS_SPARSE_MATRICES,Err)
  !Set the equations set output
  !CALL cmfe_Equations_OutputTypeSet(Equations,CMFE_EQUATIONS_NO_OUTPUT,Err)
  !CALL cmfe_Equations_OutputTypeSet(Equations,CMFE_EQUATIONS_TIMING_OUTPUT,Err)
  !CALL cmfe_Equations_OutputTypeSet(Equations,CMFE_EQUATIONS_MATRIX_OUTPUT,Err)
  !CALL cmfe_Equations_OutputTypeSet(Equations,CMFE_EQUATIONS_ELEMENT_MATRIX_OUTPUT,Err)
  !Finish the equations set equations
  CALL cmfe_EquationsSet_EquationsCreateFinish(EquationsSet,Err)

  !Create the equations set boundary conditions
  !Find the first and last dof numbers and ranks
!   NULLIFY(FIELD_VARIABLE)
!   CALL FIELD_VARIABLE_GET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VARIABLE,ERR,ERROR,*999)
!   DEPENDENT_DOF_MAPPING=>FIELD_VARIABLE%DOMAIN_MAPPING
!   first_global_dof=1
!   first_local_dof=0
!   first_local_rank=0
!   DO rank_idx=1,DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(first_global_dof)%NUMBER_OF_DOMAINS
!     IF(DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(first_global_dof)%LOCAL_TYPE(rank_idx)/=DOMAIN_LOCAL_GHOST) THEN
!       first_local_dof=DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(first_global_dof)%LOCAL_NUMBER(rank_idx)
!       first_local_rank=DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(first_global_dof)%DOMAIN_NUMBER(rank_idx)
!       EXIT
!     ENDIF
!   ENDDO !rank_idx  
!   NULLIFY(FIELD_VARIABLE)
!   CALL FIELD_VARIABLE_GET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE,FIELD_VARIABLE,ERR,ERROR,*999)
!   DEPENDENT_DOF_MAPPING=>FIELD_VARIABLE%DOMAIN_MAPPING
!   last_global_dof=DEPENDENT_DOF_MAPPING%NUMBER_OF_GLOBAL
!   last_local_dof=0
!   last_local_rank=0
!   DO rank_idx=1,DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(last_global_dof)%NUMBER_OF_DOMAINS
!     IF(DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(last_global_dof)%LOCAL_TYPE(rank_idx)/=DOMAIN_LOCAL_GHOST) THEN
!       last_local_dof=DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(last_global_dof)%LOCAL_NUMBER(rank_idx)
!       last_local_rank=DEPENDENT_DOF_MAPPING%GLOBAL_TO_LOCAL_MAP(last_global_dof)%DOMAIN_NUMBER(rank_idx)
!       EXIT
!     ENDIF
!   ENDDO !rank_idx
!   NULLIFY(BOUNDARY_CONDITIONS)
!   CALL EQUATIONS_SET_BOUNDARY_CONDITIONS_CREATE_START(EQUATIONS_SET,BOUNDARY_CONDITIONS,ERR,ERROR,*999)
!   IF(MY_COMPUTATIONAL_NODE_NUMBER==first_local_rank) &
!     & CALL BOUNDARY_CONDITIONS_SET_LOCAL_DOF(BOUNDARY_CONDITIONS,FIELD_U_VARIABLE_TYPE,first_local_dof, &
!     & BOUNDARY_CONDITION_FIXED,1.0_DP,ERR,ERROR,*999)
!   IF(MY_COMPUTATIONAL_NODE_NUMBER==last_local_rank) &
!     & CALL BOUNDARY_CONDITIONS_SET_LOCAL_DOF(BOUNDARY_CONDITIONS,FIELD_DELUDELN_VARIABLE_TYPE,last_local_dof, &
!     & BOUNDARY_CONDITION_FIXED,1.0_DP,ERR,ERROR,*999)
!   CALL EQUATIONS_SET_BOUNDARY_CONDITIONS_CREATE_FINISH(EQUATIONS_SET,ERR,ERROR,*999)

  !-----------------------------------------------------------------------------------------------------------
  ! PROBLEM
  !-----------------------------------------------------------------------------------------------------------

  !Create the problem
  CALL cmfe_Problem_Initialise(Problem,Err)
  CALL cmfe_Problem_CreateStart(ProblemUserNumber,[CMFE_PROBLEM_CLASSICAL_FIELD_CLASS,CMFE_PROBLEM_DIFFUSION_EQUATION_TYPE, &
    & CMFE_PROBLEM_NO_SOURCE_DIFFUSION_SUBTYPE],Problem,Err)
  !Finish the creation of a problem.
  CALL cmfe_Problem_CreateFinish(Problem,Err)

  !Create the problem control
  CALL cmfe_Problem_ControlLoopCreateStart(Problem,Err)
  !Get the control loop
  CALL cmfe_ControlLoop_Initialise(ControlLoop,Err)
  CALL cmfe_Problem_ControlLoopGet(Problem,CMFE_CONTROL_LOOP_NODE,ControlLoop,Err)
  !Set the times
  CALL cmfe_ControlLoop_TimesSet(ControlLoop,0.0_CMISSRP,1.001_CMISSRP,0.001_CMISSRP,Err)
  !Finish creating the problem control loop
  CALL cmfe_Problem_ControlLoopCreateFinish(Problem,Err)

  !-----------------------------------------------------------------------------------------------------------
  ! SOLVER
  !-----------------------------------------------------------------------------------------------------------
  
  !Start the creation of the problem solvers

! !For the Direct Solver MUMPS, uncomment the below two lines and comment out the above five
!  CALL SOLVER_LINEAR_TYPE_SET(LINEAR_SOLVER,SOLVER_LINEAR_DIRECT_SOLVE_TYPE,ERR,ERROR,*999)
!  CALL SOLVER_LINEAR_DIRECT_TYPE_SET(LINEAR_SOLVER,SOLVER_DIRECT_MUMPS,ERR,ERROR,*999) 
! 
!  CALL PROBLEM_SOLVERS_CREATE_FINISH(PROBLEM,ERR,ERROR,*999)

  CALL cmfe_Solver_Initialise(Solver,Err)
  CALL cmfe_Solver_Initialise(LinearSolver,Err)
  CALL cmfe_Problem_SolversCreateStart(Problem,Err)
  CALL cmfe_Problem_SolverGet(Problem,CMFE_CONTROL_LOOP_NODE,1,Solver,Err)
  !CALL cmfe_Solver_OutputTypeSet(Solver,CMFE_SOLVER_NO_OUTPUT,Err)
  !CALL cmfe_Solver_OutputTypeSet(Solver,CMFE_SOLVER_PROGRESS_OUTPUT,Err)
  !CALL cmfe_Solver_OutputTypeSet(Solver,CMFE_SOLVER_TIMING_OUTPUT,Err)
  !CALL cmfe_Solver_OutputTypeSet(Solver,CMFE_SOLVER_SOLVER_OUTPUT,Err)
  CALL cmfe_Solver_OutputTypeSet(Solver,CMFE_SOLVER_PROGRESS_OUTPUT,Err)
  CALL cmfe_Solver_DynamicLinearSolverGet(Solver,LinearSolver,Err)
  CALL cmfe_Solver_LinearIterativeMaximumIterationsSet(LinearSolver,1000,Err)
  !Finish the creation of the problem solver
  CALL cmfe_Problem_SolversCreateFinish(Problem,Err)

  !-----------------------------------------------------------------------------------------------------------
  ! SOLVER EQUATIONS
  !-----------------------------------------------------------------------------------------------------------
  
  !Create the problem solver equations
  CALL cmfe_Solver_Initialise(Solver,Err)
  CALL cmfe_SolverEquations_Initialise(SolverEquations,Err)
  CALL cmfe_Problem_SolverEquationsCreateStart(Problem,Err)
  !Get the solve equations
  CALL cmfe_Problem_SolverGet(Problem,CMFE_CONTROL_LOOP_NODE,1,Solver,Err)
  CALL cmfe_Solver_SolverEquationsGet(Solver,SolverEquations,Err)
  !Set the solver equations sparsity
  CALL cmfe_SolverEquations_SparsityTypeSet(SolverEquations,CMFE_SOLVER_SPARSE_MATRICES,Err)
  !CALL cmfe_SolverEquations_SparsityTypeSet(SolverEquations,CMFE_SOLVER_FULL_MATRICES,Err)  
  !Add in the equations set
  CALL cmfe_SolverEquations_EquationsSetAdd(SolverEquations,EquationsSet,EquationsSetIndex,Err)
  !Finish the creation of the problem solver equations
  CALL cmfe_Problem_SolverEquationsCreateFinish(Problem,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! BOUNDARY CONDITIONS
  !-----------------------------------------------------------------------------------------------------------
  
  !Create the solver equations boundary conditions
  CALL cmfe_BoundaryConditions_Initialise(BoundaryConditions,Err)
  CALL cmfe_SolverEquations_BoundaryConditionsCreateStart(SolverEquations,BoundaryConditions,Err)
  CALL cmfe_SolverEquations_BoundaryConditionsAnalytic(SolverEquations,Err)
  CALL cmfe_SolverEquations_BoundaryConditionsCreateFinish(SolverEquations,Err)
  
  !-----------------------------------------------------------------------------------------------------------
  ! SOLVE
  !-----------------------------------------------------------------------------------------------------------
  
  !Solve the problem
  CALL cmfe_Problem_Solve(Problem,Err)

  !-----------------------------------------------------------------------------------------------------------
  ! OUTPUT
  !----------------------------------------------------------------------------------------------------------

  !Output Analytic analysis
  Call cmfe_AnalyticAnalysis_Output(DependentField,"diffusion_equation_analytic",Err)

  EXPORT_FIELD=.TRUE.
  IF(EXPORT_FIELD) THEN
    CALL cmfe_Fields_Initialise(Fields,Err)
    CALL cmfe_Fields_Create(Region,Fields,Err)
    CALL cmfe_Fields_NodesExport(Fields,"diffusion_equation","FORTRAN",Err)
    CALL cmfe_Fields_ElementsExport(Fields,"diffusion_equation","FORTRAN",Err)
    CALL cmfe_Fields_Finalise(Fields,Err)
  ENDIF
  
  !Output timing summary
  !CALL TIMING_SUMMARY_OUTPUT(ERR,ERROR,*999)

  !Calculate the stop times and write out the elapsed user and system times
!   CALL CPU_TIMER(USER_CPU,STOP_USER_TIME,ERR,ERROR,*999)
!   CALL CPU_TIMER(SYSTEM_CPU,STOP_SYSTEM_TIME,ERR,ERROR,*999)
! 
!   CALL WRITE_STRING_TWO_VALUE(GENERAL_OUTPUT_TYPE,"User time = ",STOP_USER_TIME(1)-START_USER_TIME(1),", System time = ", &
!     & STOP_SYSTEM_TIME(1)-START_SYSTEM_TIME(1),ERR,ERROR,*999)
!   
  !CALL CMFE_FINALISE(ERR,ERROR,*999)
  !CALL cmfe_Finalise(Err)
  WRITE(*,'(A)') "Program successfully completed."
  

  STOP
  
END PROGRAM DIFFUSION_EQUATION