BasisFunction.h

Note

The documentation on this page was automatically extracted from the DOLFIN C++ code and may need to be edited or expanded.

class BasisFunction

Parent class(es)

• ufc::function

This class represents a finite element basis function. It can be used for computation of basis function values and derivatives.

Evaluation of basis functions is also possible through the use of the functions evaluate_basis and evaluate_basis_derivatives available in the FiniteElement class. The BasisFunction class relies on these functions for evaluation but also implements the ufc::function interface which allows evaluate_dof to be evaluated for a basis function (on a possibly different element).

BasisFunction(std::size_t index, std::shared_ptr<const FiniteElement> element, const std::vector<double> &coordinate_dofs)

Create basis function with given index on element on given cell

Arguments

index (std::size_t)

The index of the basis function.

element (FiniteElement)

The element to create basis function on.

cell (ufc::cell)

The cell.

void update_index(std::size_t index)

Update the basis function index

Arguments

index (std::size_t)

The index of the basis function.

void eval(double *values, const double *x) const

Evaluate basis function at given point

Arguments

values (double)

The values of the function at the point.

x (double)

The coordinates of the point.

void eval_derivatives(double *values, const double *x, std::size_t n) const

Evaluate all order n derivatives at given point

Arguments

values (double)

The values of derivatives at the point.

x (double)

The coordinates of the point.

n (std::size_t)

The order of derivation.

void evaluate(double *values, const double *coordinates, const ufc::cell &cell) const

Evaluate function at given point in cell

Arguments

values (double)

The values of the function at the point..

coordinates (double)

The coordinates of the point.

cell (ufc::cell)

The cell.