HArD::Core2D
Hybrid Arbitrary Degree::Core 2D - Library to implement 2D schemes with edge and cell polynomials as unknowns
Public Types | Public Member Functions | Static Public Attributes | List of all members
HArDCore2D::GolyComplBasisCell Class Reference

Basis for the complement G^{c,k}(T) in P^k(F)^2 of the range of the gradient on a face. More...

#include <basis.hpp>

Public Types

typedef VectorRd FunctionValue
 
typedef Eigen::Matrix< double, dimspace, dimspaceGradientValue
 
typedef Eigen::Matrix< double, dimspace, dimspaceCurlValue
 
typedef void DivergenceValue
 
typedef double RotorValue
 
typedef void HessianValue
 
typedef Cell GeometricSupport
 

Public Member Functions

 GolyComplBasisCell (const Cell &T, size_t degree)
 Constructor. More...
 
size_t dimension () const
 Dimension of the basis. More...
 
FunctionValue function (size_t i, const VectorRd &x) const
 Evaluate the i-th basis function at point x. More...
 
RotorValue rotor (size_t i, const VectorRd &x) const
 Evaluate the rotor of the i-th basis function at point x. More...
 
const std::shared_ptr< RolyComplBasisCell > & rck () const
 Return the Rck basis. 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 = false
 
static const bool hasDivergence = false
 
static const bool hasRotor = true
 
static const bool hasHessian = false
 

Detailed Description

Basis for the complement G^{c,k}(T) in P^k(F)^2 of the range of the gradient on a face.


The documentation for this class was generated from the following files: