Publications

Recorded here is a list of publications, current through 6/10/2021.

Preprints

  1. Anthony Gruber, Eugenio Aulisa. Quasiconformal Mappings for Surface Mesh Optimization (under review). Preprint version available here.

  2. Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang. Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations. Preprint version available here.

  3. Anthony Gruber, Álvaro Pámpano, Magdalena Toda. On p-Willmore Disks with Boundary Energies (under review). Preprint version available eventually.

  4. Anthony Gruber. Parallel Codazzi tensors with submanifold applications (under review). Preprint version available here.

  5. Anthony Gruber, Magdalena Toda, Hung Tran. Stationary surfaces with boundaries (under review). Preprint version available here.

Journal Articles

  1. Anthony Gruber, Álvaro Pámpano, Magdalena Toda. Regarding the Euler-Plateau Problem with Elastic Modulus. Ann. Mat. Pura. Appl. (2021). DOI: https://doi.org/10.1007/s10231-021-01079-5. Preprint version available here.

  2. Anthony Gruber, Eugenio Aulisa. Computational p-Willmore Flow with Conformal Penalty. ACM Trans. Graph. 39, 5, Article 161 (September 2020), 16 pages. DOI: https://doi.org/10.1145/3369387. Available here.

  3. Anthony Gruber, Magdalena Toda, Hung Tran. On the variation of curvature functionals in a space form with application to a generalized Willmore energy, Ann. Glob. Anal. Geom. (2019) 56: 147. DOI: https://doi.org/10.1007/s10455-019-09661-0. Preprint version available here.

Articles in Refereed Conference Proceedings

  1. Anthony Gruber, Eugenio Aulisa. Quaternionic Remeshing During Surface Evolution (to appear), Proceedings of the 18th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece 2020. Preprint version available here.

  2. Anthony Gruber, Magdalena Toda, Hung Tran. Willmore-Stable Minimal Surfaces (to appear), Proceedings of the 18th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece 2020. Preprint version available here.

  3. Eugenio Aulisa, Anthony Gruber, Magdalena Toda, Hung Tran. New Developments on the p-Willmore Energy of Surfaces, Proceedings of the XXIst Conference on Geometry, Integrability and Quantization, BAS - Varna 2019. DOI: https://doi.org/10.7546/giq-21-2020-57-65. Preprint version available here.

  4. Robert A. Bridges, Anthony D. Gruber, Christopher Felder, Miki Verma, Chelsey Hoff. Active Manifolds: A non-linear analogue to Active Subspaces, Volume 97: International Conference on Machine Learning (2019). Preprint version available here.

Others

  1. Anthony Gruber. Curvature functionals and p-Willmore energy. PhD Thesis (2019). TTU Electronic Thesis and Dissertation Repository, available here.