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<div id="version" align=right><b>petsc-3.14.5 2021-03-03</b></div>
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<A NAME="PetscDualSpaceTransformType"><H1>PetscDualSpaceTransformType</H1></A>
The type of function transform Notes: These transforms, and their inverses, are used to move functions and functionals between the reference element and real space. Suppose that we have a mapping $\phi$ which maps the reference cell to real space, and its Jacobian $J$. If we want to transform function $F$ on the reference element, so that it acts on real space, we use the pushforward transform $\sigma^*$. The pullback $\sigma_*$ is the inverse transform.
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Covariant Piola: $\sigma^*(F) = J^{-T} F \circ \phi^{-1)$
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<pre>
Contravariant Piola: $\sigma^*(F) = 1/|J| J F \circ \phi^{-1)$
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Note: For details, please see Rognes, Kirby, and Logg, Efficient Assembly of Hdiv and Hrot Conforming Finite Elements, SISC, 31(6), 4130-4151, arXiv 1205.3085, 2010
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<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../DUALSPACE/PetscDualSpaceGetDeRahm.html#PetscDualSpaceGetDeRahm">PetscDualSpaceGetDeRahm</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>beginner<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/dm/dt/dualspace/../../../../include/petscfetypes.h.html#PetscDualSpaceTransformType">src/dm/dt/dualspace/../../../../include/petscfetypes.h</A>
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