Public Types | |
| typedef Tensor< 1, dim > | Derivative |
| typedef double | ProjectedDerivative |
Static Public Member Functions | |
| template<class InputVector , int spacedim> | |
| static ProjectedDerivative | get_projected_derivative (const FEValues< dim, spacedim > &fe_values, const InputVector &solution, const unsigned int component) |
| static double | derivative_norm (const Derivative &d) |
| static void | symmetrize (Derivative &derivative_tensor) |
Static Public Attributes | |
| static const UpdateFlags | update_flags |
The following class is used to describe the data needed to compute the finite difference approximation to the gradient on a cell. See the general documentation of this class for more information on implementational details.
Definition at line 344 of file derivative_approximation.h.
| typedef Tensor<1,dim> DerivativeApproximation::Gradient< dim >::Derivative |
Declare the data type which holds the derivative described by this class.
Definition at line 360 of file derivative_approximation.h.
| typedef double DerivativeApproximation::Gradient< dim >::ProjectedDerivative |
Likewise declare the data type that holds the derivative projected to a certain directions.
Definition at line 368 of file derivative_approximation.h.
| static ProjectedDerivative DerivativeApproximation::Gradient< dim >::get_projected_derivative | ( | const FEValues< dim, spacedim > & | fe_values, |
| const InputVector & | solution, | ||
| const unsigned int | component | ||
| ) | [static] |
Given an FEValues object initialized to a cell, and a solution vector, extract the desired derivative at the first quadrature point (which is the only one, as we only evaluate the finite element field at the center of each cell).
| static double DerivativeApproximation::Gradient< dim >::derivative_norm | ( | const Derivative & | d | ) | [static] |
Return the norm of the derivative object. Here, for the gradient, we choose the Euclidian norm of the gradient vector.
| static void DerivativeApproximation::Gradient< dim >::symmetrize | ( | Derivative & | derivative_tensor | ) | [static] |
If for the present derivative order, symmetrization of the derivative tensor is necessary, then do so on the argument.
For the first derivatives, no such thing is necessary, so this function is a no-op.
const UpdateFlags DerivativeApproximation::Gradient< dim >::update_flags [static] |
Declare which data fields have to be updated for the function get_projected_derivative to work.
Definition at line 353 of file derivative_approximation.h.
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