# PetscFECreateTabulation
Tabulates the basis functions, and perhaps derivatives, at the points provided. 
## Synopsis
```
#include "petscfe.h" 
PetscErrorCode PetscFECreateTabulation(PetscFE fem, PetscInt nrepl, PetscInt npoints, const PetscReal points[], PetscInt K, PetscTabulation *T)
```
Not collective


## Input Parameters

- ***fem     -*** The PetscFE object
- ***nrepl   -*** The number of replicas
- ***npoints -*** The number of tabulation points in a replica
- ***points  -*** The tabulation point coordinates
- ***K       -*** The number of derivatives calculated



## Output Parameter

- ***T -*** The basis function values and derivatives at tabulation points



## Note
```none
T->T[0] = B[(p*pdim + i)*Nc + c] is the value at point p for basis function i and component c
```
```none
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
```
```none
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
```




## See Also
 `PetscFEGetCellTabulation()`, `PetscTabulationDestroy()`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/fe/interface/fe.c.html#PetscFECreateTabulation">src/dm/dt/fe/interface/fe.c</A>

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/fe/impls/basic/febasic.c.html#PetscFECreateTabulation_Basic">PetscFECreateTabulation_Basic in src/dm/dt/fe/impls/basic/febasic.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/fe/impls/composite/fecomposite.c.html#PetscFECreateTabulation_Composite">PetscFECreateTabulation_Composite in src/dm/dt/fe/impls/composite/fecomposite.c</A><BR>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/dm/dt/fe/interface/fe.c)


[Index of all FE routines](index.md)  
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[Index of all manual pages](/docs/manualpages/singleindex.md)  
