PetscDTSimplexQuadrature#

Create a quadrature rule for a simplex that exactly integrates polynomials up to a given degree.

Synopsis#

#include "petscdt.h" 
PetscErrorCode PetscDTSimplexQuadrature(PetscInt dim, PetscInt degree, PetscDTSimplexQuadratureType type, PetscQuadrature *quad)

Not Collective

Input Parameters#

  • dim - The spatial dimension of the simplex (1 = segment, 2 = triangle, 3 = tetrahedron)

  • degree - The largest polynomial degree that is required to be integrated exactly

  • type - left end of interval (often-1)

Output Parameter#

  • quad - A PetscQuadrature object for integration over the biunit simplex (defined by the bounds \(x_i >= -1\) and \(\sum_i x_i <= 2 - d\)) that is exact for polynomials up to the given degree

See Also#

PetscDTSimplexQuadratureType, PetscDTGaussQuadrature(), PetscDTStroudCononicalQuadrature(), PetscQuadrature

Level#

intermediate

Location#

src/dm/dt/interface/dt.c

Index of all DT routines
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Index of all manual pages