Kyusik,

    I'm not quite sure what you're getting at here. The mesh you show looks
    correct to me. What is it that you're surprised about?


I'm sorry, I should have been more specific.

What I mean that the result has no difference compared to when I didn't use
GridTools::lapace_transform()

In the result, even though I use it, there is no kind of smoothness in the mesh.

Yes, but that's because you have a small bug in your code: you fix *all* vertices before you call laplace_transform. You should only fix the ones that are are at the boundary of the domain.

    It's here:
       https://www.dealii.org/developer/developers/testsuite.html
    <https://www.dealii.org/developer/developers/testsuite.html>

    That would be here:
       https://www.dealii.org/participate.html
    <https://www.dealii.org/participate.html>



Anyway,thanks for letting me know these things.

You're welcome :-)

Best
 Wolfgang


--
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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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