operator-grid-specialization_impl.h.in

/****
 * {meshDimension}D problem
 */
template< typename MeshReal,
          typename Device,
          typename MeshIndex,
          typename Real,
          typename Index >
TNL::String
{operatorName}< TNL::Meshes::Grid< {meshDimension}, MeshReal, Device, MeshIndex >, Real, Index >::
getType()
{{
   return TNL::String( "{operatorName}< " ) +
          MeshType::getType() + ", " +
          TNL::getType< Real >() + ", " +
          TNL::getType< Index >() + " >";
}}

template< typename MeshReal,
          typename Device,
          typename MeshIndex,
          typename Real,
          typename Index >    
template< typename MeshFunction, typename MeshEntity >
__cuda_callable__
Real
{operatorName}< TNL::Meshes::Grid< {meshDimension}, MeshReal, Device, MeshIndex >, Real, Index >::
operator()( const MeshFunction& u,
            const MeshEntity& entity,
            const Real& time ) const
{{
   /****
    * Implement your explicit form of the differential operator here.
    * The following example is the Laplace operator approximated 
    * by the Finite difference method.
    */  
   static_assert( MeshEntity::entityDimension == {meshDimension}, "Wrong mesh entity dimensions." );
   static_assert( MeshFunction::getEntitiesDimension() == {meshDimension}, "Wrong preimage function" );
   const typename MeshEntity::template NeighborEntities< {meshDimension} >& neighborEntities = entity.getNeighborEntities(); 

{explicitScheme}
}}

template< typename MeshReal,
          typename Device,
          typename MeshIndex,
          typename Real,
          typename Index >        
template< typename MeshEntity >
__cuda_callable__
Index
{operatorName}< TNL::Meshes::Grid< {meshDimension}, MeshReal, Device, MeshIndex >, Real, Index >::
getLinearSystemRowLength( const MeshType& mesh,
                          const IndexType& index,
                          const MeshEntity& entity ) const
{{
   /****
    * Return a number of non-zero elements in a line (associated with given grid element) of
    * the linear system.
    * The following example is the Laplace operator approximated 
    * by the Finite difference method.
    */

   return 2*Dimension + 1;
}}

template< typename MeshReal,
          typename Device,
          typename MeshIndex,
          typename Real,
          typename Index >
   template< typename PreimageFunction,
             typename MeshEntity,
             typename Matrix,
             typename Vector >
__cuda_callable__
inline
void
{operatorName}< TNL::Meshes::Grid< {meshDimension}, MeshReal, Device, MeshIndex >, Real, Index >::
setMatrixElements( const PreimageFunction& u,
                   const MeshEntity& entity,
                   const RealType& time,
                   const RealType& tau,
                   Matrix& matrix,
                   Vector& b ) const
{{
   static_assert( MeshEntity::entityDimension == {meshDimension}, "Wrong mesh entity dimensions." );
   static_assert( PreimageFunction::getEntitiesDimension() == {meshDimension}, "Wrong preimage function" );

   /****
    * Setup the non-zero elements of the linear system here.
    * The following example is the Laplace operator approximated 
    * by the Finite difference method.
    */    
   const typename MeshEntity::template NeighborEntities< {meshDimension} >& neighborEntities = entity.getNeighborEntities();
   const IndexType& index = entity.getIndex();
   typename Matrix::MatrixRow matrixRow = matrix.getRow( index );
{semiimplicitScheme}
}}