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HArD::Core3D
Hybrid Arbitrary Degree::Core 3D - Library to implement 3D schemes with vertex, edge, face and cell polynomials as unknowns
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Basis for the complement G^{c,k}(T) in P^k(T)^3 of the range of grad. More...
#include <basis.hpp>
Public Types | |
| typedef VectorRd | FunctionValue |
| typedef Eigen::Matrix< double, dimspace, dimspace > | GradientValue |
| typedef VectorRd | CurlValue |
| typedef double | DivergenceValue |
| typedef Eigen::Matrix< double, dimspace, dimspace *dimspace > | HessianValue |
| typedef Cell | GeometricSupport |
Public Member Functions | |
| GolyComplBasisCell (const Cell &T, size_t degree) | |
| Constructor. More... | |
| size_t | dimension () const |
| Compute the dimension of the basis. More... | |
| FunctionValue | function (size_t i, const VectorRd &x) const |
| Evaluate the i-th basis function at point x. More... | |
| CurlValue | curl (size_t i, const VectorRd &x) const |
| Evaluate the curl of the i-th basis function at point x. More... | |
| size_t | max_degree () const |
| Returns the maximum degree of the basis functions. More... | |
| VectorZd | powers (size_t i) const |
| Returns the powers of the i-th basis function (not including the vector part) More... | |
| size_t | dimPkmo () const |
| Returns the dimension of P^{k-1}(R^3) More... | |
Static Public Attributes | |
| constexpr static const TensorRankE | tensorRank = Vector |
| constexpr static const bool | hasAncestor = false |
| static const bool | hasFunction = true |
| static const bool | hasGradient = false |
| static const bool | hasCurl = true |
| static const bool | hasDivergence = false |
| static const bool | hasHessian = false |
| static const bool | hasCurlCurl = false |
Basis for the complement G^{c,k}(T) in P^k(T)^3 of the range of grad.
1.9.1