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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Public Types | Public Member Functions | Static Public Attributes | List of all members
HArDCore3D::RolyComplBasisCell Class Reference

Basis for the complement R^{c,k}(T) in P^k(T)^3 of the range of curl. More...

#include <basis.hpp>

Public Types

typedef VectorRd FunctionValue
 
typedef Eigen::Matrix< double, dimspace, dimspaceGradientValue
 
typedef Eigen::Matrix< double, dimspace, dimspaceCurlValue
 
typedef double DivergenceValue
 
typedef Eigen::Matrix< double, dimspace, dimspace *dimspaceHessianValue
 
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 hasHessian = false
 
static const bool hasCurlCurl = false
 

Detailed Description

Basis for the complement R^{c,k}(T) in P^k(T)^3 of the range of curl.


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