HArD::Core2D
Hybrid Arbitrary Degree::Core 2D - Library to implement 2D schemes with edge and cell polynomials as unknowns
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Basis for the space of curls (vectorial rot) of polynomials. More...
#include <basis.hpp>
Public Types | |
typedef VectorRd | FunctionValue |
typedef Eigen::Matrix< double, dimspace, dimspace > | GradientValue |
typedef Eigen::Matrix< double, dimspace, dimspace > | CurlValue |
typedef void | DivergenceValue |
typedef void | RotorValue |
typedef void | HessianValue |
typedef BasisType::GeometricSupport | GeometricSupport |
typedef BasisType | AncestorType |
Public Member Functions | |
CurlBasis (const BasisType &basis) | |
Constructor. | |
size_t | dimension () const |
Compute the dimension of the basis. | |
FunctionValue | function (size_t i, const VectorRd &x) const |
Evaluate the i-th basis function at point x. | |
constexpr const BasisType & | ancestor () const |
Return the ancestor (basis that the gradient was taken of) | |
Static Public Attributes | |
static constexpr const TensorRankE | tensorRank = Vector |
static constexpr const bool | hasAncestor = true |
static const bool | hasFunction = true |
static const bool | hasGradient = false |
static const bool | hasCurl = false |
static const bool | hasDivergence = false |
static const bool | hasRotor = false |
static const bool | hasHessian = false |
Basis for the space of curls (vectorial rot) of polynomials.
To construct a basis of R^k, assumes that the vector basis from which it is constructed is a basis for P^{k+1}/P^0