MFEM  v4.4.0
Finite element discretization library
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fe_ser.hpp
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11 
12 #ifndef MFEM_FE_SERENDIPITY
13 #define MFEM_FE_SERENDIPITY
14 
15 #include "fe_base.hpp"
16 
17 namespace mfem
18 {
19 
20 /// Arbitrary order H1 serendipity elements in 2D on a quad
22 {
23 public:
24  /// Construct the H1Ser_QuadrilateralElement of order @a p
25  H1Ser_QuadrilateralElement(const int p);
26  virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
27  virtual void CalcDShape(const IntegrationPoint &ip,
28  DenseMatrix &dshape) const;
30  DenseMatrix &I) const;
32 };
33 
34 
35 } // namespace mfem
36 
37 #endif
virtual void GetLocalInterpolation(ElementTransformation &Trans, DenseMatrix &I) const
Return the local interpolation matrix I (Dof x Dof) where the fine element is the image of the base g...
Definition: fe_ser.cpp:231
virtual void Project(Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const
Given a coefficient and a transformation, compute its projection (approximation) in the local finite ...
Definition: fe_base.cpp:125
virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const
Evaluate the values of all shape functions of a scalar finite element in reference space at the given...
Definition: fe_ser.cpp:56
Data type dense matrix using column-major storage.
Definition: densemat.hpp:23
Class for finite elements with basis functions that return scalar values.
Definition: fe_base.hpp:629
virtual void CalcDShape(const IntegrationPoint &ip, DenseMatrix &dshape) const
Evaluate the gradients of all shape functions of a scalar finite element in reference space at the gi...
Definition: fe_ser.cpp:138
Class for integration point with weight.
Definition: intrules.hpp:25
Arbitrary order H1 serendipity elements in 2D on a quad.
Definition: fe_ser.hpp:21
H1Ser_QuadrilateralElement(const int p)
Construct the H1Ser_QuadrilateralElement of order p.
Definition: fe_ser.cpp:22
Vector data type.
Definition: vector.hpp:60