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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="PetscSpacePolynomialType"><H1>PetscSpacePolynomialType</H1></A>
The type of polynomial space
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
<pre>
PETSCSPACE_POLYNOMIALTYPE_P - This is the normal polynomial space of degree q, P_q or Q_q.
</pre>
<pre>
PETSCSPACE_POLYNOMIALTYPE_PMINUS_HDIV - This is the smallest polynomial space contained in P_q/Q_q such that the divergence is in P_{q-1}/Q_{q-1}. Making this space is straightforward:
</pre>
<pre>
P^-_q = P_{q-1} + P_{(q-1)} x
</pre>
<pre>
where P_{(q-1)} is the space of homogeneous polynomials of degree q-1.
</pre>
<pre>
PETSCSPACE_POLYNOMIALTYPE_PMINUS_HCURL - This is the smallest polynomial space contained in P_q/Q_q such that the curl is in P_{q-1}/Q_{q-1}. Making this space is straightforward:
</pre>
<pre>
P^-_q = P_{q-1} + P_{(q-1)} rot x
</pre>
<pre>
where P_{(q-1)} is the space of homogeneous polynomials of degree q-1, and rot x is (-y, x) in 2D, and (z - y, x - z, y - x) in 3D, being the generators of the rotation algebra.
</pre>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../FE/PetscSpace.html#PetscSpace">PetscSpace</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/fe/../../../../include/petscfetypes.h.html#PetscSpacePolynomialType">src/dm/dt/fe/../../../../include/petscfetypes.h</A>
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