PetscDTSimplexQuadratureType#

A description of classes of quadrature rules for simplices

Synopsis#

typedef enum {
  PETSCDTSIMPLEXQUAD_DEFAULT = -1,
  PETSCDTSIMPLEXQUAD_CONIC   = 0,
  PETSCDTSIMPLEXQUAD_MINSYM
} PetscDTSimplexQuadratureType;

PETSCDTSIMPLEXQUAD_DEFAULT - Quadrature rule chosen by PETSc
PETSCDTSIMPLEXQUAD_CONIC - Quadrature rules constructed as conically-warped tensor products of 1D Gauss-Jacobi quadrature rules. These are explicitly computable in any dimension for any degree, and the tensor-product structure can be exploited by sum-factorization methods, but they are not efficient in terms of nodes per polynomial degree.
PETSCDTSIMPLEXQUAD_MINSYM - Quadrature rules that are fully symmetric (symmetries of the simplex preserve the nodes and weights) with minimal (or near minimal) number of nodes. In dimensions higher than 1 these are not simple to compute, so lookup tables are used.

intermediate