libMesh::TensorTools Namespace Reference

Classes
struct	DecrementRank
struct	DecrementRank< TensorValue< T > >
struct	DecrementRank< TypeNTensor< N, T > >
struct	DecrementRank< TypeTensor< T > >
struct	DecrementRank< TypeVector< T > >
struct	DecrementRank< VectorValue< T > >
struct	IncrementRank
struct	IncrementRank< TensorValue< T > >
struct	IncrementRank< TypeNTensor< N, T > >
struct	IncrementRank< TypeTensor< T > >
struct	IncrementRank< TypeVector< T > >
struct	IncrementRank< VectorValue< T > >
struct	MakeNumber
struct	MakeNumber< std::complex< T > >
struct	MakeNumber< TensorValue< T > >
struct	MakeNumber< TypeNTensor< N, T > >
struct	MakeNumber< TypeTensor< T > >
struct	MakeNumber< TypeVector< T > >
struct	MakeNumber< VectorValue< T > >
struct	MakeReal
struct	MakeReal< std::complex< T > >
struct	MakeReal< TensorValue< T > >
struct	MakeReal< TypeNTensor< N, T > >
struct	MakeReal< TypeTensor< T > >
struct	MakeReal< TypeVector< T > >
struct	MakeReal< VectorValue< T > >

Functions
Number	curl_from_grad (const VectorValue< Number > &)
VectorValue< Number >	curl_from_grad (const TensorValue< Number > &grad)
	Computes the curl of a vector given the gradient of that vector. More...
TensorValue< Number >	curl_from_grad (const TypeNTensor< 3, Number > &)
Number	div_from_grad (const VectorValue< Number > &grad)
	Dummy. Divergence of a scalar not defined, but is needed for ExactSolution to compile. More...
Number	div_from_grad (const TensorValue< Number > &grad)
	Computes the divergence of a vector given the gradient of that vector. More...
VectorValue< Number >	div_from_grad (const TypeNTensor< 3, Number > &)
template<typename T , typename T2 >
boostcopy::enable_if_c< ScalarTraits< T >::value &&ScalarTraits< T2 >::value, typename CompareTypes< T, T2 >::supertype >::type	inner_product (const T &a, const T2 &b)
template<typename T , typename T2 >
CompareTypes< T, T2 >::supertype	inner_product (const TypeVector< T > &a, const TypeVector< T2 > &b)
template<typename T , typename T2 >
CompareTypes< T, T2 >::supertype	inner_product (const TypeTensor< T > &a, const TypeTensor< T2 > &b)
template<unsigned int N, typename T , typename T2 >
CompareTypes< T, T2 >::supertype	inner_product (const TypeNTensor< N, T > &a, const TypeNTensor< N, T2 > &b)
template<typename T >
T	norm_sq (T a)
template<typename T >
T	norm_sq (std::complex< T > a)
template<typename T >
Real	norm_sq (const TypeVector< T > &a)
template<typename T >
Real	norm_sq (const VectorValue< T > &a)

Function Documentation

curl_from_grad() [1/3]

Number libMesh::TensorTools::curl_from_grad

(

const VectorValue< Number > &

)

Definition at line 28 of file tensor_tools.C.

Referenced by libMesh::ExactSolution::_compute_error().

{
  libmesh_error_msg("Operation not defined for scalar quantities.");
}

curl_from_grad() [2/3]

VectorValue< Number > libMesh::TensorTools::curl_from_grad

(

const TensorValue< Number > &

grad

)

Computes the curl of a vector given the gradient of that vector.

Definition at line 33 of file tensor_tools.C.

{
  const Number duz_dy = grad(2,1);
  const Number duy_dz = grad(1,2);
  const Number dux_dz = grad(0,2);
  const Number duz_dx = grad(2,0);
  const Number duy_dx = grad(1,0);
  const Number dux_dy = grad(0,1);

  return VectorValue<Number>(duz_dy - duy_dz,
                             dux_dz - duz_dx,
                             duy_dx - dux_dy);
}

curl_from_grad() [3/3]

TensorValue< Number > libMesh::TensorTools::curl_from_grad

(

const TypeNTensor< 3, Number > &

grad

)

Place holder needed for ExactSolution to compile. Will compute the curl of a tensor given the gradient of that tensor.

Definition at line 48 of file tensor_tools.C.

{
  libmesh_not_implemented();
}

div_from_grad() [1/3]

Number libMesh::TensorTools::div_from_grad

(

const VectorValue< Number > &

)

Dummy. Divergence of a scalar not defined, but is needed for ExactSolution to compile.

Definition at line 54 of file tensor_tools.C.

Referenced by libMesh::ExactSolution::_compute_error().

{
  libmesh_error_msg("Operation not defined for scalar quantities.");
}

div_from_grad() [2/3]

Number libMesh::TensorTools::div_from_grad

(

const TensorValue< Number > &

grad

)

Computes the divergence of a vector given the gradient of that vector.

Definition at line 59 of file tensor_tools.C.

{
  const Number dux_dx = grad(0,0);
  const Number duy_dy = grad(1,1);
  const Number duz_dz = grad(2,2);

  return dux_dx + duy_dy + duz_dz;
}

div_from_grad() [3/3]

VectorValue< Number > libMesh::TensorTools::div_from_grad

(

const TypeNTensor< 3, Number > &

grad

)

Place holder needed for ExactSolution to compile. Will compute the divergence of a tensor given the gradient of that tensor.

Definition at line 69 of file tensor_tools.C.

{
  libmesh_not_implemented();
}

inner_product() [1/4]

template<typename T , typename T2 >

boostcopy::enable_if_c<ScalarTraits<T>::value && ScalarTraits<T2>::value, typename CompareTypes<T, T2>::supertype>::type libMesh::TensorTools::inner_product ( const T &  a, const T2 &  b  )

inline

Definition at line 47 of file tensor_tools.h.

Referenced by libMesh::FEGenericBase< FEOutputType< T >::type >::coarsened_dof_values(), libMesh::FEGenericBase< FEOutputType< T >::type >::compute_periodic_constraints(), and libMesh::FEGenericBase< FEOutputType< T >::type >::compute_proj_constraints().

{ return a * b; }

inner_product() [2/4]

template<typename T , typename T2 >

CompareTypes<T, T2>::supertype libMesh::TensorTools::inner_product ( const TypeVector< T > &  a, const TypeVector< T2 > &  b  )

inline

Definition at line 53 of file tensor_tools.h.

{ return a * b; }

inner_product() [3/4]

template<typename T , typename T2 >

CompareTypes<T, T2>::supertype libMesh::TensorTools::inner_product ( const TypeTensor< T > &  a, const TypeTensor< T2 > &  b  )

inline

Definition at line 59 of file tensor_tools.h.

References libMesh::TypeTensor< T >::contract().

{ return a.contract(b); }

inner_product() [4/4]

template<unsigned int N, typename T , typename T2 >

CompareTypes<T, T2>::supertype libMesh::TensorTools::inner_product ( const TypeNTensor< N, T > &  a, const TypeNTensor< N, T2 > &  b  )

inline

Definition at line 65 of file tensor_tools.h.

References libMesh::TypeNTensor< N, T >::contract().

{ return a.contract(b); }

norm_sq() [1/4]

template<typename T >

T libMesh::TensorTools::norm_sq ( T  a )

inline

Definition at line 70 of file tensor_tools.h.

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::UniformRefinementEstimator::_estimate_error(), libMesh::DiscontinuityMeasure::boundary_side_integration(), libMesh::KellyErrorEstimator::boundary_side_integration(), libMesh::System::calculate_norm(), libMesh::Tet::choose_diagonal(), libMesh::InfQuad4::contains_point(), libMesh::InfPrism::contains_point(), libMesh::InfHex::contains_point(), libMesh::ExactErrorEstimator::find_squared_element_error(), libMesh::LaplacianErrorEstimator::internal_side_integration(), libMesh::DiscontinuityMeasure::internal_side_integration(), libMesh::KellyErrorEstimator::internal_side_integration(), libMesh::DenseSubVector< T >::l2_norm(), libMesh::DistributedVector< T >::l2_norm(), libMesh::DenseVector< Output >::l2_norm(), libMesh::DenseSubVector< T >::linfty_norm(), libMesh::DenseVector< Output >::linfty_norm(), libMesh::PointLocatorBase::locate_node(), libMesh::TypeVector< Real >::norm(), libMesh::TypeTensor< T >::norm(), libMesh::TypeVector< Real >::norm_sq(), libMesh::TypeTensor< T >::norm_sq(), libMesh::WeightedPatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::PatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::HPCoarsenTest::select_refinement(), libMesh::TypeVector< Real >::size_sq(), libMesh::TypeTensor< T >::size_sq(), and libMesh::NumericVector< Number >::subset_l2_norm().

{ return a*a; }

norm_sq() [2/4]

template<typename T >

T libMesh::TensorTools::norm_sq ( std::complex< T >  a )

inline

Definition at line 74 of file tensor_tools.h.

{ return std::norm(a); }

norm_sq() [3/4]

template<typename T >

Real libMesh::TensorTools::norm_sq ( const TypeVector< T > &  a )

inline

Definition at line 78 of file tensor_tools.h.

References libMesh::TypeVector< T >::norm_sq().

{return a.norm_sq();}

norm_sq() [4/4]

template<typename T >

Real libMesh::TensorTools::norm_sq ( const VectorValue< T > &  a )

inline

Definition at line 83 of file tensor_tools.h.

References libMesh::TypeVector< T >::norm_sq().

{return a.norm_sq();}