Re: [DOLFIN-dev] XML format for Higher Order meshes

[Shawn Walker]

On Mon, 25 Aug 2008, Anders Logg wrote:

>>> The XML format could be something like
>>>
>>>  <mesh celltype="triangle" dim="2">
>>>    <vertices size="2868">
>>>      <vertex index="0" x="0.534923" y="0.326073"/>
>>>      ...
>>>    </vertices>
>>>    <cells size="5400">
>>>      <triangle index="0" v0="76" v1="914" v2="1153"/>
>>>      ...
>>>    </cells>
>>>    <coordinates>
>>>      <function>
>>>
>>>      </function>
>>>    </coordinates>
>>>  <mesh
>>
>
> <coordinates degree="2">
>
> and then have the boolean affine="true"/"false" inside the cell tags.

ok, here is another example format:

<dolfin xmlns:dolfin="http://www.fenics.org/dolfin/";>
   <mesh celltype="triangle" dim="2">

     <vertices size="4">
       <vertex index="0" x="0.0"  y="0.0"/>
       <vertex index="1" x="1.0"  y="0.0"/>
       <vertex index="2" x="0.0"  y="1.0"/>
       <vertex index="3" x="-1.0" y="0.0"/>
     </vertices>

     <cells size="2">
       <triangle index="0" v0="0" v1="1" v2="2"/>
       <triangle index="1" v0="3" v1="0" v2="2"/>
     </cells>

     <coordinates degree="2">
       <function>
         <mesh celltype="triangle" dim="2">
           <vertices size="4">
             <vertex index="0" x="0.0"  y="0.0"/>
             <vertex index="1" x="1.0"  y="0.0"/>
             <vertex index="2" x="0.0"  y="1.0"/>
             <vertex index="3" x="-1.0" y="0.0"/>
           </vertices>
           <cells size="2">
             <triangle index="0" affine="false" v0="0" v1="1" v2="2"/>
             <triangle index="1" affine="true"  v0="3" v1="0" v2="2"/>
           </cells>
         </mesh>

         <vector size="18">
           <entry row="0" value="0.0"/> # 0th pair
           <entry row="1" value="0.0"/> # of coordinates
           <entry row="2" value="1.0"/> # 1st pair
           <entry row="3" value="0.0"/> # of coordinates
           <entry row="4" value="0.0"/>
           <entry row="5" value="1.0"/>
           <entry row="6" value="-1.0"/>
           <entry row="7" value="0.0"/>

           <entry row="8" value="0.5"/>
           <entry row="9" value="0.05"/>
           <entry row="10" value="0.6"/>
           <entry row="11" value="0.6"/>
           <entry row="12" value="0.0"/>
           <entry row="13" value="0.5"/>
           <entry row="14" value="-0.5"/>
           <entry row="15" value="0.0"/>
           <entry row="16" value="-0.5"/>
           <entry row="17" value="0.5"/>
         </vector>
       </function>
       <dofmap ?????/>
     </coordinates>

   </mesh>
</dolfin>

Does this sort of look correct?

- Shawn
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