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Improve biharmonic demo#4108

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dokken/biharmonic-start
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Improve biharmonic demo#4108
jorgensd wants to merge 11 commits intomainfrom
dokken/biharmonic-start

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@jorgensd jorgensd commented Feb 27, 2026

Rework the biharmonic demo added by @juliusgh to include:

  • Skip single precision runs. The matrix is very poorly conditioned and does not converge to the same solution for single and double precision (this also holds for the existing demo).
  • Better choice of element (P2 yields sub-optimal convergence)
  • Usage of clamped boundary conditions, rather than simply supported bcs
  • Explain the difference between the bcs.
  • Use a method of manufactured solution as a verification mechanism
  • Add relevant references to papers on discretization.

@jorgensd jorgensd requested a review from jhale February 27, 2026 12:13
@jorgensd jorgensd linked an issue Feb 27, 2026 that may be closed by this pull request
@jorgensd jorgensd added documentation Documentation improvements or fixes demo New demo or demo enhancements/improvements labels Feb 27, 2026
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Improve biharmonic demo

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