PetscDTJacobiNorm — PETSc 3.21.4 documentation

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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 Parameters

- alpha - the left exponent > -1

- beta - the right exponent > -1

- n - the polynomial degree

## Output Parameter

- norm - the weighted L2 norm

## See Also

`PetscQuadrature`, `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