BergotBasis.h

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// Gmsh - Copyright (C) 1997-2022 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file in the Gmsh root directory for license information.
// Please report all issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
 
#ifndef BERGOTBASIS_H
#define BERGOTBASIS_H
 
#include "nodalBasis.h"
#include "polynomialBasis.h"
 
// Basis functios for pyramidal elements: cf. M. Bergot, G. Cohen, M. Durufle,
// HIGHER-ORDER FINITE ELEMENTS FOR HYBRID MESHES USING NEW NODAL PYRAMIDAL
// ELEMENTS, J. Sci. Comput. 42, 3 (2010) 345-381", DOI:
// 10.1007/s10915-009-9334-9
 
class BergotBasis {
public:
  BergotBasis(int p, bool incpl = false);
  virtual ~BergotBasis();
 
  void f(double u, double v, double w, double *val) const;
  void df(double u, double v, double w, double grads[][3]) const;
 
  void initialize(){};
 
  bool validIJ(int i, int j) const;
 
private:
  int order; 
  bool incomplete; 
};
 
#endif