P1 basis in dim-d enriched by quadratic edge bubble functions and an element bubble function of order dim+1.
More...
|
static constexpr std::size_t | size () noexcept |
| Returns number of shape functions.
|
|
static constexpr void | evaluateFunction (const DomainType &in, std::vector< RangeType > &out) |
| Evaluate all shape functions.
|
|
static constexpr void | evaluateJacobian (const DomainType &in, std::vector< JacobianType > &out) |
| Evaluate Jacobian of all shape functions.
|
|
static constexpr void | partial (const std::array< unsigned int, dim > &order, const DomainType &in, std::vector< RangeType > &out) |
| Evaluate partial derivatives of all shape functions.
|
|
static constexpr unsigned int | order () noexcept |
| Polynomial order of the shape functions (4 in this case)
|
|
template<class D, class R, int dim>
class Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, dim >
P1 basis in dim-d enriched by quadratic edge bubble functions and an element bubble function of order dim+1.
The shape functions are associated to the vertices, the edges centers, and to the element barycenter. The bubble function is the product of the linear vertex basis functions. On the edges the basis functions are scaled by the factor 4 and inside the element by the factor (dim+1)^(dim+1).
- Template Parameters
-
D | Type to represent the field in the domain. |
R | Type to represent the field in the range. |
dim | Dimension of the domain. |