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 complement R^{c,k}(T) in P^k(T)^2 of the range of the vectorial rotational on a face. More...
#include <basis.hpp>
Public Types | |
typedef VectorRd | FunctionValue |
typedef Eigen::Matrix< double, dimspace, dimspace > | GradientValue |
typedef Eigen::Matrix< double, dimspace, dimspace > | CurlValue |
typedef double | DivergenceValue |
typedef void | RotorValue |
typedef void | HessianValue |
typedef Cell | GeometricSupport |
Public Member Functions | |
RolyComplBasisCell (const Cell &T, size_t degree) | |
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. | |
DivergenceValue | divergence (size_t i, const VectorRd &x) const |
Evaluate the divergence of the i-th basis function at point x. | |
size_t | max_degree () const |
Returns the maximum degree of the basis functions. | |
VectorZd | powers (size_t i) const |
Returns the powers of the i-th basis function (not including the vector part) | |
Static Public Attributes | |
static constexpr const TensorRankE | tensorRank = Vector |
static constexpr const bool | hasAncestor = false |
static const bool | hasFunction = true |
static const bool | hasGradient = false |
static const bool | hasCurl = false |
static const bool | hasDivergence = true |
static const bool | hasRotor = false |
static const bool | hasHessian = false |
Basis for the complement R^{c,k}(T) in P^k(T)^2 of the range of the vectorial rotational on a face.