I am a little bit confusing with the integral over all cell :
*\int \varphi_i(x) \varphi_j(x) dx *on physical cell is approximated
by computing *\sum { \varphi_hat_i(x_hat) \varphi_hat_i(x_hat) JxW(x_hat)
} *on reference cell.
With FEValues we get *\varphi_i(x) *, if we compute the above integral as:
*\sum { \varphi_i(x) \varphi_j(x) JxW(x_hat) }*
then the value of the integral changes because shape functions defined on
reference cell are different from those on real cell.
Is there any reason for the integral calculation* \sum { \varphi_i(x)
\varphi_j(x) JxW(x_hat) }?*
Thank you very much for your quick answers.
Best regards.
Vào Th 4, 10 thg 4, 2019 vào lúc 00:15 Wolfgang Bangerth <
[email protected]> đã viết:
> On 4/9/19 1:27 AM, Phạm Ngọc Kiên wrote:
> > I looked through the codes for Fe_Nedelec_SZ in the library and found
> that the
> > fe_values was transformed from reference cell to physical cell by the
> function
> > like:
> > mapping.transform(make_array_view(fe_data.shape_values[dof]),
> > mapping_covariant,
> > mapping_internal,
> > make_array_view(transformed_shape_values));
> > Does this mean that fe_values.value(i,q_point) and
> fe_values.curl(i,q_point)
> > are stored on physical cell?
>
> Yes, yes, of course -- that's the point of FEValues :-)
>
> Best
> W.
>
>
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> Wolfgang Bangerth email: [email protected]
> www: http://www.math.colostate.edu/~bangerth/
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