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::CurlBasis< BasisType > Class Template Reference

Basis for the space of curls (vectorial rot) of polynomials. 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 void RotorValue
 
typedef void HessianValue
 
typedef BasisType::GeometricSupport GeometricSupport
 
typedef BasisType AncestorType
 

Public Member Functions

 CurlBasis (const BasisType &basis)
 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...
 
constexpr const BasisType & ancestor () const
 Return the ancestor (basis that the gradient was taken of) More...
 

Static Public Attributes

constexpr static const TensorRankE tensorRank = Vector
 
constexpr static 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
 

Detailed Description

template<typename BasisType>
class HArDCore2D::CurlBasis< BasisType >

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


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