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Consistent boundary enumeration for high-dimensional splines #78

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jzwar opened this issue Dec 12, 2022 · 3 comments
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Consistent boundary enumeration for high-dimensional splines #78

jzwar opened this issue Dec 12, 2022 · 3 comments
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@jzwar
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jzwar commented Dec 12, 2022

For some applications it would be useful to have a consistent enumeration of boundaries. The numbering system is somehow arbitrary and changes depending on the FE-System in use. As we are theoretically independent of the dimension, I would suggest the following numbering system

$$i_{face} = \left\{\begin{array} 2*j \quad\text{if face is at $\xi_j=0$}\\\ 2*j + 1 \quad\text{if face is at $\xi_j=1$} \end{array}\right.$$

for $j\in{0,\dots, n_{dim}-1}$ axis dimensions. This is applicable to higher dimensions as well

This would require to change the layout of the extract_boundary routine

@jzwar jzwar added documentation Improvements or additions to documentation question Further information is requested labels Dec 12, 2022
@jzwar
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jzwar commented Dec 12, 2022

There is a displaying issue here. the first line should read 2*j

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jzwar commented Dec 12, 2022

Related to #77

@j042
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j042 commented Dec 13, 2022

sure

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