publications

2026

1. Preprint

   Unconstrained Scheme for Geometrically Constrained Gradient Flows

   Sören Bartels, Lucas Bouck, and Christian Palus

   arXiv preprint, 2026

   arXiv Bib

   @article{bartels2026unconstrained,
     title = {Unconstrained Scheme for Geometrically Constrained Gradient Flows},
     author = {Bartels, S{\"o}ren and Bouck, Lucas and Palus, Christian},
     journal = {arXiv preprint},
     year = {2026}
   }

2. 

   Inf-Sup Stability of Parabolic TraceFEM

   Lucas Bouck, Ricardo H. Nochetto, Mansur Shakipov, and 1 more author

   Foundations of Computational Mathematics, 2026

   arXiv Bib HTML

   @article{bouck2026infsup,
     title = {Inf-Sup Stability of Parabolic TraceFEM},
     author = {Bouck, Lucas and Nochetto, Ricardo H. and Shakipov, Mansur and Yushutin, Vladimir},
     journal = {Foundations of Computational Mathematics},
     year = {2026},
   }

3. 

   Commutativity and non-commutativity of limits in the nonlinear bending theory for prestrained microheterogeneous plates

   Klaus Böhnlein, Lucas Bouck, Stefan Neukamm, and 2 more authors

   Journal of Nonlinear Science, 2026

   arXiv HTML

2025

1. 

   Plate theory for metric-constrained actuation of liquid crystal elastomer sheets

   Lucas Bouck, David Padilla-Garza, and Paul Plucinsky

   Journal of Elasticity, 2025

   arXiv HTML

2024

1. Preprint

   

   Projection-Free Method for the Full Frank-Oseen Model of Liquid Crystals

   Lucas Bouck and Ricardo H. Nochetto

   arXiv preprint, 2024

   arXiv Bib

   @article{bouck2024projection,
     title = {Projection-Free Method for the Full Frank-Oseen Model of Liquid Crystals},
     author = {Bouck, Lucas and Nochetto, Ricardo H.},
     journal = {arXiv preprint},
     year = {2024},
   }

2. JMPS

   

   Reduced membrane model for liquid crystal polymer networks: Asymptotics and computation

   Lucas Bouck, Ricardo H. Nochetto, and Shuo Yang

   Journal of the Mechanics and Physics of Solids, 2024

   DOI arXiv Bib HTML Video

   @article{bouck2024reduced,
     title = {Reduced membrane model for liquid crystal polymer networks: Asymptotics and computation},
     author = {Bouck, Lucas and Nochetto, Ricardo H. and Yang, Shuo},
     journal = {Journal of the Mechanics and Physics of Solids},
     volume = {187},
     year = {2024},
     publisher = {Elsevier},
     doi = {10.1016/j.jmps.2024.105607},
   }

3. J. Nonlinear Sci.

   

   A hydrodynamical model of nematic liquid crystal films with a general state of orientational order

   Lucas Bouck, Ricardo H. Nochetto, and Vladimir Yushutin

   Journal of Nonlinear Science, 2024

   DOI arXiv Bib HTML Video

   @article{bouck2024hydrodynamical,
     title = {A hydrodynamical model of nematic liquid crystal films with a general state of orientational order},
     author = {Bouck, Lucas and Nochetto, Ricardo H. and Yushutin, Vladimir},
     journal = {Journal of Nonlinear Science},
     volume = {34},
     number = {1},
     year = {2024},
     publisher = {Springer},
     doi = {10.1007/s00332-023-09970-6},
   }

2023

1. SINUM

   

   Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks

   Lucas Bouck, Ricardo H. Nochetto, and Shuo Yang

   SIAM Journal on Numerical Analysis, 2023

   DOI arXiv Bib HTML Video

   @article{bouck2023convergent,
     title = {Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks},
     author = {Bouck, Lucas and Nochetto, Ricardo H. and Yang, Shuo},
     journal = {SIAM Journal on Numerical Analysis},
     volume = {61},
     number = {6},
     pages = {2887--2916},
     year = {2023},
     publisher = {SIAM},
     doi = {10.1137/22M1521584},
   }

2018

1. “ChebTools“: C++ 11 (and Python) tools for working with Chebyshev expansions

   Ian H Bell, Bradley Alpert, and Lucas Bouck

   Journal of Open Source Software, 2018

   HTML