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HHJ element on 2-D surface triangulations

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3 years 5 days ago #3697 by walker_tr9
HHJ element on 2-D surface triangulations was created by walker_tr9
Can this be done in NGsolve?
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3 years 5 days ago #3698 by joachim
Replied by joachim on topic HHJ element on 2-D surface triangulations
Hi,

yes, you can. The space is called HDivDivSurface in NGSolve.

An example for Koiter shells is here:

docu.ngsolve.org/latest/i-tutorials/unit...4-shells/shell.html#

Best,
Joachim
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3 years 5 days ago #3699 by mneunteufel
Replied by mneunteufel on topic HHJ element on 2-D surface triangulations
Hi,

if you want to solve HHJ on surfaces without the other shell stuff as membrane and shearing terms, you can find a simple example attached

File Attachment:

File Name: hhj_surface.py
File Size:1 KB


Best
Michael
Attachments:
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3 years 5 days ago #3700 by walker_tr9
Replied by walker_tr9 on topic HHJ element on 2-D surface triangulations
Great, thanks. And this can be adapted for curved surface triangulations, using Lagrange polynomials for the triangles?
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3 years 5 days ago #3701 by joachim
Replied by joachim on topic HHJ element on 2-D surface triangulations
Yes, correct, geometry is approximated by arbitrary order polynomially curved trigs or quads, and the HHJ spaces is mapped to the curved surface using double-sided Piola transform. All nasty derivatives are computed.
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