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examples/obstacle/compare_all.py

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"""
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Solve obstacle problem with DOLFINx (LVPP), Galahad and IPOPT and compare the results
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Solve obstacle problem with Proximal Galerkin, Galahad, and IPOPT and compare the results
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Author: Jørgen S. Dokken
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SPDX-License-Identifier: MIT

examples/obstacle/lvpp_example.py

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"""
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Obstacle problem based of example 3 (P3) in Hintermüller and Kunisch [1].
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Obstacle problem based on experiment 4 in [2].
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FEniCSx code solve this problem is based of the paper [2,3]:
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The FEniCSx code solve this problem is based on [3]:
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SPXD License: MIT License
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Original license file [../../licenses/LICENSE.surowiec](../../licenses/LICENSE.surowiec)
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is included in the repository.
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[1] Hintermüller, M. and Kunisch K., Path-following Methods for a Class of
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Constrained Minimization Problems in Function Space, SIAM Journal on Optimization 2006,
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https://doi.org/10.1137/040611598
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[2] Keith, B. and Surowiec, T.M., Proximal Galerkin: A Structure-Preserving Finite Element Method
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[1] Keith, B. and Surowiec, T.M., Proximal Galerkin: A Structure-Preserving Finite Element Method
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for Pointwise Bound Constraints. Found Comput Math (2024). https://doi.org/10.1007/s10208-024-09681-8
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[3] Keith, B., Surowiec, T. M., & Dokken, J. S. (2023). Examples for the Proximal Galerkin Method
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[2] Keith, B., Surowiec, T. M., & Dokken, J. S. (2023). Examples for the Proximal Galerkin Method
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(Version 0.1.0) [Computer software]. https://github.com/thomas-surowiec/proximal-galerkin-examples
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"""
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