petsc-3.14.2 2020-12-03
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# PetscFVCreateTabulation

Tabulates the basis functions, and perhaps derivatives, at the points provided.

### Synopsis

```#include "petscfv.h"
PetscErrorCode PetscFVCreateTabulation(PetscFV fvm, PetscInt nrepl, PetscInt npoints, const PetscReal points[], PetscInt K, PetscTabulation *T)
```
Not collective

### Input Parameters

 fvm - The PetscFV object nrepl - The number of replicas npoints - The number of tabulation points in a replica points - The tabulation point coordinates K - The order of derivative to tabulate

### Output Parameter

 T - The basis function values and derviative at tabulation points

### Note

```T->T[0] = B[(p*pdim + i)*Nc + c] is the value at point p for basis function i and component c
```
```T->T[1] = D[((p*pdim + i)*Nc + c)*dim + d] is the derivative value at point p for basis function i, component c, in direction d
```
```T->T[2] = H[(((p*pdim + i)*Nc + c)*dim + d)*dim + e] is the value at point p for basis function i, component c, in directions d and e
```