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Add a demo on Carstensen-Gedicke lower bounds for the Dirichlet Poisson eigenproblem - #5308

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pbrubeck merged 16 commits into
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Aug 5, 2026
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Add a demo on Carstensen-Gedicke lower bounds for the Dirichlet Poisson eigenproblem#5308
pbrubeck merged 16 commits into
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pefarrell/poisson_adaptive_eigenvalue_demo

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It uses computable lower and upper bounds to drive an adaptive algorithm with guaranteed error control.

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pefarrell requested review from UZerbinati and pbrubeck July 31, 2026 15:49
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pefarrell force-pushed the pefarrell/poisson_adaptive_eigenvalue_demo branch from 2dd698c to dc36f32 Compare July 31, 2026 15:50
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I don't know why the run is failing, everything looks fine:

https://github.com/firedrakeproject/firedrake/actions/runs/30665694261

Any ideas?

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Very niece ! I wonder if also Hu should be cited for the observation about CR estimating from below.
Should the issue of eigenvalues with multiplicity greater than 1 be commented on somewhere ?

Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
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I've added a comment about eigenvalue multiplicity, and cited Hu et al.

Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
pefarrell and others added 2 commits August 3, 2026 10:30
Co-authored-by: Pablo Brubeck <brubeck@protonmail.com>
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
UZerbinati
UZerbinati previously approved these changes Aug 3, 2026

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I've added one reference, but except from that I'm very happy with this :)

Comment thread demos/demo_references.bib
Comment thread demos/poisson_adaptive_eigenvalue/poisson_adaptive_eigenvalue.py.rst Outdated
Co-authored-by: Pablo Brubeck <brubeck@protonmail.com>
Co-authored-by: Umberto Zerbinati <umberto.zerbinati@maths.ox.ac.uk>

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Thanks!

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pbrubeck merged commit cc8fb80 into release Aug 5, 2026
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@pbrubeck
pbrubeck deleted the pefarrell/poisson_adaptive_eigenvalue_demo branch August 5, 2026 13:39
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3 participants