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Laura Meneghetti
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README.md

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<p align="center">
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<p align="center">
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<a href="http://mathlab.github.io/PyGeM/" target="_blank" >
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<img alt="Python Geometrical Morphing" src="docs/source/_static/logo_PyGeM.png" width="200" />
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</a>
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### References
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The deformations implemented are taken from the following papers:
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* Sieger, Menzel, Botsch. *On Shape Deformation Techniques for Simulation-based Design Optimization*. SEMA SIMAI Springer Series, 2015. [[DOI](https://doi.org/10.1007/978-3-319-06053-8_14)], [[pdf](http://www.honda-ri.de/pubs/pdf/1052.pdf)].
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* Sieger, Menzel, Botsch. *On Shape Deformation Techniques for Simulation-based Design Optimization*. SEMA SIMAI Springer Series, 2015. [[DOI](https://doi.org/10.1007/978-3-319-06053-8_14)], [[pdf](http://www.honda-ri.de/pubs/pdf/1052.pdf)],
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[[bibitem](readme/sieger2015shape.bib)].
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* Forti, Rozza. *Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems*. International Journal of Computational Fluid Dynamics, 2014. [[DOI](http://dx.doi.org/10.1080/10618562.2014.932352)].
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* Forti, Rozza. *Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems*. International Journal of Computational Fluid Dynamics, 2014. [[DOI](http://dx.doi.org/10.1080/10618562.2014.932352)],
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[[bibitem](readme/forti2014efficient.bib)].
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* Sieger, Menzel, Botsch. *RBF Morphing Techniques for Simulation-based Design Optimization*. M. Engineering with Computers, 2014. [[DOI](https://doi.org/10.1007/s00366-013-0330-1)], [[pdf](http://www.honda-ri.de/pubs/pdf/923.pdf)].
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* Sieger, Menzel, Botsch. *RBF Morphing Techniques for Simulation-based Design Optimization*. M. Engineering with Computers, 2014. [[DOI](https://doi.org/10.1007/s00366-013-0330-1)], [[pdf](http://www.honda-ri.de/pubs/pdf/923.pdf)],
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[[bibitem](readme/sieger2014rbf.bib)].
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* Lombardi, Parolini, Quarteroni, Rozza. *Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization*. Springer Optimization and Its Applications, 2012. [[DOI](http://dx.doi.org/10.1007/978-1-4614-2435-2_15)], [[pdf](https://infoscience.epfl.ch/record/175879/files/PaerErice-Lombardi-parolini-quarteroni-Rozza.pdf)].
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* Lombardi, Parolini, Quarteroni, Rozza. *Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization*. Springer Optimization and Its Applications, 2012. [[DOI](http://dx.doi.org/10.1007/978-1-4614-2435-2_15)], [[pdf](https://infoscience.epfl.ch/record/175879/files/PaerErice-Lombardi-parolini-quarteroni-Rozza.pdf)],
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[[bibitem](readme/lombardi2012numerical.bib)].
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### Recent works with PyGeM
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Here there is a list of the scientific works involving **PyGeM** you can consult and/or cite. If you want to add one, please open a PR.
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* Tezzele, Demo, Mola, Rozza. *An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics*. Submitted, 2018. [[arXiv](https://arxiv.org/abs/1810.12364)].
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* Tezzele, Demo, Mola, Rozza. *An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics*. Submitted, 2018. [[arXiv](https://arxiv.org/abs/1810.12364)],
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[[bibitem](readme/tezzele2018ecmi.bib)].
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* Tezzele, Salmoiraghi, Mola, Rozza. *Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems*. Advanced Modeling and Simulation in Engineering Sciences, 2018. [[DOI](https://doi.org/10.1186/s40323-018-0118-3)], [[arXiv](https://arxiv.org/abs/1709.03298)].
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* Tezzele, Salmoiraghi, Mola, Rozza. *Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems*. Advanced Modeling and Simulation in Engineering Sciences, 2018. [[DOI](https://doi.org/10.1186/s40323-018-0118-3)], [[arXiv](https://arxiv.org/abs/1709.03298)], [[bibitem](readme/tezzele2018dimension.bib)].
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* Tezzele, Ballarin, Rozza. *Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods*. In Mathematical and Numerical Modeling of the Cardiovascular System and Applications. SEMA SIMAI Springer Series vol. 16, 2018. [[DOI](https://doi.org/10.1007/978-3-319-96649-6_8)], [[arXiv](https://arxiv.org/abs/1711.10884)].
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* Tezzele, Ballarin, Rozza. *Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods*. In Mathematical and Numerical Modeling of the Cardiovascular System and Applications. SEMA SIMAI Springer Series vol. 16, 2018. [[DOI](https://doi.org/10.1007/978-3-319-96649-6_8)], [[arXiv](https://arxiv.org/abs/1711.10884)],
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[[bibitem](readme/tezzele2018combined.bib)].
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* Salmoiraghi, Scardigli, Telib, Rozza. *Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation*. International Journal of Computational Fluid Dynamics, 2018. [[DOI](https://doi.org/10.1080/10618562.2018.1514115)], [[arXiv](https://arxiv.org/abs/1803.04688)].
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* Salmoiraghi, Scardigli, Telib, Rozza. *Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation*. International Journal of Computational Fluid Dynamics, 2018. [[DOI](https://doi.org/10.1080/10618562.2018.1514115)], [[arXiv](https://arxiv.org/abs/1803.04688)],
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[[bibitem](readme/salmoiraghi2018free.bib)].
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* Demo, Tezzele, Gustin, Lavini, Rozza. *Shape optimization by means of proper orthogonal decomposition and dynamic mode decomposition*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-212)], [[arXiv](https://arxiv.org/abs/1803.07368)].
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* Demo, Tezzele, Gustin, Lavini, Rozza. *Shape optimization by means of proper orthogonal decomposition and dynamic mode decomposition*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-212)], [[arXiv](https://arxiv.org/abs/1803.07368)],
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[[bibitem](readme/demo2018shape.bib)].
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* Tezzele, Demo, Gadalla, Mola, Rozza. *Model Order Reduction by means of Active Subspaces and Dynamic Mode Decomposition for Parametric Hull Shape Design Hydrodynamics*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-569)], [[arXiv](https://arxiv.org/abs/1803.07377)].
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* Tezzele, Demo, Gadalla, Mola, Rozza. *Model Order Reduction by means of Active Subspaces and Dynamic Mode Decomposition for Parametric Hull Shape Design Hydrodynamics*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-569)], [[arXiv](https://arxiv.org/abs/1803.07377)],
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[[bibitem](readme/tezzele2018model.bib)].
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* Demo, Tezzele, Mola, Rozza. *An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment*. The 28th International Ocean and Polar Engineering Conference, 2018. [[arXiv](https://arxiv.org/abs/1801.06369)].
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* Demo, Tezzele, Mola, Rozza. *An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment*. The 28th International Ocean and Polar Engineering Conference, 2018. [[arXiv](https://arxiv.org/abs/1801.06369)],
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[[bibitem](readme/demo2018isope.bib)].
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* Bergmann, Ferrero, Iollo, Lombardi, Scardigli, Telib. *A zonal Galerkin-free POD model for incompressible flows*. Journal of Computational Physics, 2018. [[DOI](https://doi.org/10.1016/j.jcp.2017.10.001)].
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* Bergmann, Ferrero, Iollo, Lombardi, Scardigli, Telib. *A zonal Galerkin-free POD model for incompressible flows*. Journal of Computational Physics, 2018. [[DOI](https://doi.org/10.1016/j.jcp.2017.10.001)],
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[[bibitem](readme/bergmann2018zonal.bib)].
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* Salmoiraghi, Ballarin, Corsi, Mola, Tezzele, Rozza. *Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives*. ECCOMAS 2016 proceedings. [[DOI](https://doi.org/10.7712/100016.1867.8680)].
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* Salmoiraghi, Ballarin, Corsi, Mola, Tezzele, Rozza. *Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives*. ECCOMAS 2016 proceedings. [[DOI](https://doi.org/10.7712/100016.1867.8680)],
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[[bibitem](readme/salmoiraghi2016advances .bib)].
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## Authors and contributors

readme/bergmann2018zonal.bib

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@article{bergmann2018zonal,
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title={A zonal Galerkin-free POD model for incompressible flows},
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author={Bergmann, Michel and Ferrero, Andrea and Iollo, Angelo and Lombardi, Edoardo and Scardigli, Angela and Telib, Haysam},
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journal={Journal of Computational Physics},
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volume={352},
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pages={301--325},
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year={2018},
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publisher={Elsevier}
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}

readme/demo2018isope.bib

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@inproceedings{demo2018isope,
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Author = {Demo, Nicola and Tezzele, Marco and Mola, Andrea and Rozza, Gianluigi},
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Booktitle = {The 28th International Ocean and Polar Engineering Conference},
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Date-Added = {2018-08-27 11:54:02 +0200},
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Date-Modified = {2018-08-27 11:54:02 +0200},
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Title = {{An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment}},
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Year = {2018}}

readme/demo2018shape.bib

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@inproceedings{demo2018shape,
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Author = {Demo, Nicola and Tezzele, Marco and Gustin, Gianluca and Lavini, Gianpiero and Rozza, Gianluigi},
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Booktitle = {Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship \& Maritime Research},
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Date-Added = {2018-08-27 11:54:02 +0200},
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Date-Modified = {2018-08-27 11:54:02 +0200},
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Doi = {10.3233/978-1-61499-870-9-212},
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Pages = {212--219},
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Publisher = {IOS Press},
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Title = {Shape optimization by means of proper orthogonal decomposition and dynamic mode decomposition},
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Year = {2018},
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Bdsk-Url-1 = {https://doi.org/10.3233/978-1-61499-870-9-212}}

readme/forti2014efficient.bib

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@article{forti2014efficient,
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title={Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid--structure interaction coupling problems},
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author={Forti, Davide and Rozza, Gianluigi},
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journal={International Journal of Computational Fluid Dynamics},
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volume={28},
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number={3-4},
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pages={158--169},
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year={2014},
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publisher={Taylor \& Francis}
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}

readme/lombardi2012numerical.bib

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@incollection{lombardi2012numerical,
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title={Numerical simulation of sailing boats: Dynamics, FSI, and shape optimization},
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author={Lombardi, Matteo and Parolini, Nicola and Quarteroni, Alfio and Rozza, Gianluigi},
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booktitle={Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design},
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pages={339--377},
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year={2012},
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publisher={Springer}
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}
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readme/salmoiraghi2016advances.bib

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@article{salmoiraghi2016advances,
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Address = {Crete, Greece},
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Author = {Salmoiraghi, F. and Ballarin, F. and Corsi, G. and Mola, A. and Tezzele, M. and Rozza, G.},
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Date-Added = {2018-11-06 10:06:33 +0100},
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Date-Modified = {2018-12-10 09:52:16 +0100},
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Doi = {10.7712/100016.1867.8680},
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Journal = {ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering},
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Pages = {1013-1031},
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Title = {Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: Overview and perspectives},
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Volume = {1},
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Year = {2016},
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Bdsk-Url-1 = {https://doi.org/10.7712/100016.1867.8680}}

readme/salmoiraghi2018free.bib

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@article{salmoiraghi2018free,
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title={Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation},
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author={Salmoiraghi, Filippo and Scardigli, Angela and Telib, Haysam and Rozza, Gianluigi},
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journal={International Journal of Computational Fluid Dynamics},
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volume={32},
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number={4-5},
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pages={233--247},
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year={2018},
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publisher={Taylor \& Francis}
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}

readme/sieger2014rbf.bib

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@article{sieger2014rbf,
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title={RBF morphing techniques for simulation-based design optimization},
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author={Sieger, Daniel and Menzel, Stefan and Botsch, Mario},
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journal={Engineering with Computers},
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volume={30},
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number={2},
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pages={161--174},
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year={2014},
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publisher={Springer}
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}

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