Intrepid
Intrepid_HGRAD_LINE_Hermite_FEM.hpp
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49#ifndef INTREPID_HGRAD_LINE_HERMITE_FEM_HPP
50#define INTREPID_HGRAD_LINE_HERMITE_FEM_HPP
51
52#include "Intrepid_Basis.hpp"
54#include "Intrepid_Polylib.hpp"
55
56#include "Teuchos_SerialDenseMatrix.hpp"
57#include "Teuchos_SerialDenseSolver.hpp"
58#include <ostream>
59#include <cstdint>
60
61namespace Intrepid {
62
92template<class Scalar, class ArrayScalar>
93class Basis_HGRAD_LINE_Hermite_FEM: public Basis<Scalar, ArrayScalar> {
94
95 template<typename T> using RCP = Teuchos::RCP<T>;
96 using SerialDenseMatrix = Teuchos::SerialDenseMatrix<int,Scalar>;
97
98 using TAGS = std::vector<int>;
99
100private:
101
104
106 mutable SerialDenseMatrix V_;
107
108 mutable Teuchos::SerialDenseSolver<int,Scalar> solver_;
109
110 mutable TAGS tags_;
111
112 mutable bool isFactored_;
113
116 void initializeTags();
117
120 void recurrence( ArrayScalar &P, ArrayScalar &Px, const Scalar x ) const;
121
125 void legendre_d( ArrayScalar &Pm, ArrayScalar &Pm1, const int m, const Scalar pt ) const;
126
129 void setupVandermonde( bool factor=true );
130
131
132public:
133
138
141 Basis_HGRAD_LINE_Hermite_FEM( const ArrayScalar &pts );
142
146 Basis_HGRAD_LINE_Hermite_FEM( int numPoints , const EPointType &pointType );
147
148
159 void getValues(ArrayScalar & outputValues,
160 const ArrayScalar & inputPoints,
161 const EOperator operatorType) const;
162
163
166 void getValues(ArrayScalar & outputValues,
167 const ArrayScalar & inputPoints,
168 const ArrayScalar & cellVertices,
169 const EOperator operatorType = OPERATOR_VALUE) const;
170
172 virtual void getDofCoords( ArrayScalar & DofCoords ) const;
173
174
175 void printTags( std::ostream &os );
176
177}; // class Basis_HGRAD_LINE_Hermite_FEM
178
179}// namespace Intrepid
180
182
183#endif // INTREPID_HGRAD_LINE_HERMITE_FEM_HPP
Header file for the abstract base class Intrepid::Basis.
Definition file for Hermite FEM basis functions of degree 2n for H(grad) functions on a Line.
Header file for utility class to provide point tools, such as barycentric coordinates,...
Header file for a set of functions providing orthogonal polynomial polynomial calculus and interpolat...
Implements Hermite interpolant basis of degree n on the reference Line cell. The basis has cardinalit...
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Line cell.
FieldContainer< Scalar > latticePts_
Holds the points defining the Hermite basis.
void setupVandermonde(bool factor=true)
Form the Legendre/Derivative Vandermonde matrix at the given lattice points and have the linear solve...
virtual void getDofCoords(ArrayScalar &DofCoords) const
implements the dofcoords interface
Basis_HGRAD_LINE_Hermite_FEM()
Default Constructor assumes the two interpolation points are the cell vertices. Cubic Hermite Interpo...
SerialDenseMatrix V_
Contains the values of the Legendre polynomials and their derivatives.
void initializeTags()
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.
void recurrence(ArrayScalar &P, ArrayScalar &Px, const Scalar x) const
Evaluates and at a particular point .
void legendre_d(ArrayScalar &Pm, ArrayScalar &Pm1, const int m, const Scalar pt) const
Evaluates and at a particular point .
An abstract base class that defines interface for concrete basis implementations for Finite Element (...
Implementation of a templated lexicographical container for a multi-indexed scalar quantity....