Data storage

Glossary

Alias	Shape	Description
dofval	[ndof]	degrees of freedom
nodevec	[nnode, ndim]	nodal vector
elemvec	[nelem, nne, ndim]	nodal vector stored per element
elemmat	[nelem, nne*ndim, nne*ndim]	matrix stored per element
qscalar	[nelem, nip]	scalar stored per integration point
qtensor	[nelem, nip, tdim, tdim, …]	tensor stored per integration point

dofval

• Degrees-of-freedom

• Shape [ndof]

• xt::xtensor<double,1>

nodevec

• Nodal vectors

• Shape [nnode, ndim]

• xt::xtensor<double,2>

elemvec

• Nodal vectors stored per element

• Allows treatment of all elements independently, no connectivity needed

• Shape [nelem, nne, ndim]

• xt::xtensor<double,3>

elemmat

• Matrices stored per element

• Shape [nelem, nne*ndim, nne*ndim]

• xt::xtensor<double,3>

qscalar

• Scalars stored per integration point

• Shape [nelem, nip]

• xt::xtensor<double,2>

qtensor (2nd order)

• 2nd-order tensors stored per integration point

• For certain elements, the number of dimensions of the tensor can be larger than the number of dimensions of the element (tdim >= ndim)

• Shape [nelem, nip, tdim, tdim]

• xt::xtensor<double,4>

qtensor (4th order)

• 4th-order tensors stored per integration point

• For certain elements, the number of dimensions of the tensor can be larger than the number of dimensions of the element (tdim >= ndim)

• Shape [nelem, nip, tdim, tdim, tdim, tdim]

• xt::xtensor<double,4>