Classes
struct	IncrementRank
struct	IncrementRank< VectorValue< T > >
struct	IncrementRank< TypeVector< T > >
struct	IncrementRank< TypeTensor< T > >
struct	IncrementRank< TensorValue< T > >
struct	IncrementRank< TypeNTensor< N, T > >
struct	DecrementRank
struct	DecrementRank< VectorValue< T > >
struct	DecrementRank< TypeVector< T > >
struct	DecrementRank< TensorValue< T > >
struct	DecrementRank< TypeTensor< T > >
struct	DecrementRank< TypeNTensor< N, T > >
struct	MakeNumber
struct	MakeNumber< std::complex< T > >
struct	MakeNumber< TypeVector< T > >
struct	MakeNumber< VectorValue< T > >
struct	MakeNumber< TypeTensor< T > >
struct	MakeNumber< TensorValue< T > >
struct	MakeNumber< TypeNTensor< N, T > >
struct	MakeReal
struct	MakeReal< std::complex< T > >
struct	MakeReal< TypeVector< T > >
struct	MakeReal< VectorValue< T > >
struct	MakeReal< TypeTensor< T > >
struct	MakeReal< TensorValue< T > >
struct	MakeReal< TypeNTensor< N, 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.
TensorValue< Number >	curl_from_grad (const TypeNTensor< 3, Number > &)
Number	div_from_grad (const VectorValue< Number > &grad)
	Dummy. Divgerence of a scalar not defined, but is needed for ExactSolution to compile.
Number	div_from_grad (const TensorValue< Number > &grad)
	Computes the divergence of a vector given the gradient of that vector.
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

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.");
}

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);
}

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 46 of file tensor_tools.C.

{
  libmesh_not_implemented();
}

Number libMesh::TensorTools::div_from_grad ( const VectorValue< Number > & )

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

Definition at line 52 of file tensor_tools.C.

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

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

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 57 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;
}

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 67 of file tensor_tools.C.

{
  libmesh_not_implemented();
}

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]`