# PETSCDUALSPACEREFINED
"refined" - A `PetscDualSpaceType` that defines the joint dual space of a group of cells, usually refined from one larger cell 


## See Also
 `PetscDualSpace`, `PetscDualSpaceType`, `PetscDualSpaceCreate()`, `PetscDualSpaceSetType()`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/dualspace/impls/refined/dualspacerefined.c.html#PETSCDUALSPACEREFINED">src/dm/dt/dualspace/impls/refined/dualspacerefined.c</A>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/dm/dt/dualspace/impls/refined/dualspacerefined.c)


[Index of all DUALSPACE routines](index.md)  
[Table of Contents for all manual pages](/docs/manualpages/index.md)  
[Index of all manual pages](/docs/manualpages/singleindex.md)  
