petsc-master 2020-10-26
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PetscDTJacobiNorm

Compute the weighted L2 norm of a Jacobi polynomial.

Synopsis

#include "petscdt.h" 
PetscErrorCode PetscDTJacobiNorm(PetscReal alpha, PetscReal beta, PetscInt n, PetscReal *norm)
$\| P^{\alpha,\beta}_n \|_{\alpha,\beta}^2 = \int_{-1}^1 (1 + x)^{\alpha} (1 - x)^{\beta} P^{\alpha,\beta}_n (x)^2 dx.$

Input Arguments

alpha - the left exponent > -1
beta - the right exponent > -1 + n - the polynomial degree

Output Arguments

norm - the weighted L2 norm

See Also

PetscDTJacobiEval()

Level

beginner

Location

src/dm/dt/interface/dt.c
Index of all DT routines
Table of Contents for all manual pages
Index of all manual pages