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demos/assimilating_point_data/assimilating_point_data.py.rst

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.. rst-class:: emphasis
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This example is taken from work done by Reuben Nixon-Hill et al. in :cite:`Nixon-Hill:2024`, and was written up by Leo Collins. The paper contains an additional example of assimilating point data in a model of the Larsen C ice shelf using the `Icepack <https://icepack.github.io/>`_ library :cite:`Shapero:2021`, which is built on Firedrake.
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This example is taken from work done by Reuben Nixon-Hill et al. in :cite:`nixonhill2023consistent`, and was written up by Leo Collins. The paper contains an additional example of assimilating point data in a model of the Larsen C ice shelf using the `Icepack <https://icepack.github.io/>`_ library :cite:`Shapero:2021`, which is built on Firedrake.
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This demo will show how to use Firedrake-adjoint to assimilate point data into a PDE model.
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\end{align}
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Unknown thermal conductivity
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--------------------
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----------------------------
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As a concrete example, we consider the steady-state heat equation
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A python script version of this demo can be found :demo:`here <assimilating_point_data.py>`.
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.. rubric:: References
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.. bibliography:: demo_references.bib
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:filter: docname in docnames
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demos/demo_references.bib

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publisher={Society of Exploration Geophysicists},
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doi={https://doi.org/10.1190/1.1437843}
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}
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@article{Nixon-Hill:2024,
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author = {Nixon-Hill, R. W. and Shapero, D. and Cotter, C. J. and Ham, D. A.},
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title = {Consistent point data assimilation in Firedrake and Icepack},
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journal = {Geoscientific Model Development},
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volume = {17},
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year = {2024},
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number = {13},
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pages = {5369--5386},
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url = {https://gmd.copernicus.org/articles/17/5369/2024/},
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doi = {10.5194/gmd-17-5369-2024}
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}
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@article{Shapero:2021,
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author = {Shapero, D. R. and Badgeley, J. A. and Hoffman, A. O. and Joughin, I. R.},
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title = {icepack: a new glacier flow modeling package in Python, version 1.0},
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journal = {Geoscientific Model Development},
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volume = {14},
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year = {2021},
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number = {7},
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pages = {4593--4616},
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url = {https://gmd.copernicus.org/articles/14/4593/2021/},
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doi = {10.5194/gmd-14-4593-2021}
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}

docs/source/_static/bibliography.bib

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url = {https://arxiv.org/abs/1903.08243},
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year = {2019}
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}
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@article{Shapero:2021,
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author = {Shapero, D. R. and Badgeley, J. A. and Hoffman, A. O. and Joughin, I. R.},
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title = {icepack: a new glacier flow modeling package in Python, version 1.0},
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journal = {Geoscientific Model Development},
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volume = {14},
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year = {2021},
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number = {7},
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pages = {4593--4616},
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url = {https://gmd.copernicus.org/articles/14/4593/2021/},
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doi = {10.5194/gmd-14-4593-2021}
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}

docs/source/advanced_tut.rst

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Netgen support.<demos/netgen_mesh.py>
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Full-waveform inversion: spatial and wave sources parallelism.<demos/full_waveform_inversion.py>
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Steady Boussinesq problem with integral constraints.<demos/boussinesq.py>
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Assimilating point data.<demos/assimilating_point_data.py>

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