Mesh size in the physical domain
shreyachauhanto888 opened this issue · comments
I am studying about the order of convergence in Isogeometric Method for the simple elliptic problem. We know that the size
Hi,
to study the order of convergence, you can use the mesh size in the
parametric domain. This is what most people usually do (including
myself), and it is fine as long as the parametrization does not have
singularities.
If you still want to compute the real mesh size in the physical domain,
there is no accurate way to do it. You can get an estimate if you
compute the distance between opposite vertices of each element in the
physical domain. A precise computation would require more complex
methods, but I don't think it is worth to do it if you only want to
study convergence in a standard case.
Best,
Rafa
…On 31.03.23 11:57, shreyachauhanto888 wrote:
I am studying about the order of convergence in Isogeometric Method
for the simple elliptic problem. We know that the size $h_K$ of an
element $K$ in the physical mesh is related to the element size $h_Q$
of the element $Q$ in the parametric domain. My question is how can we
find $h_K$ in GeoPDE ?
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Thank you very much for the response.
Regards,
Shreya Chauhan