new papers

Author: brendankeith

_pages/publications.md

@@ -14,16 +14,17 @@ My published work can also be tracked on [Scopus](https://www.scopus.com/authid/
 
 ## Preprints
 
-| <img src="/assets/images/APriori.png" width="180" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:0px;margin-left:0px;margin-right:0px;padding-left:15px;padding-right:15px;" /> | **A priori error analysis of the proximal Galerkin method** <br> _with Rami Masri and Marius Zeinhofer_ <br> arXiv: 2507.13516 [math.NA] [[preprint](https://arxiv.org/abs/2507.13516)] |
-| <img src="/assets/images/two_level_bloch_2.png" width="180" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:0px;margin-left:0px;margin-right:0px;padding-left:15px;padding-right:15px;" /> | **Learning thermodynamic master equations for open quantum systems** <br> _with Peter Sentz, Stanley Nicholson, Yujin Cho, Sohail Reddy and Stefanie Günther_ <br> arXiv: 2506.01882 [quant-ph] [[preprint](https://arxiv.org/abs/2506.01882)] |
-| <img src="/assets/images/punctured_domain-min.png" width="180" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:0px;margin-left:0px;margin-right:0px;padding-left:15px;padding-right:15px;" /> | **A locally-conservative proximal Galerkin method for pointwise bound constraints** <br> _with Guosheng Fu and Rami Masri_ <br> arXiv: 2412.21039 [math.NA] [[preprint](https://arxiv.org/abs/2412.21039)] [[code]](https://github.com/ramimasri/FOSPG-first-order-system-proximal-Galerkin) |
-
-## Software
-
-| <img src="/assets/images/drd.gif" width="200" height="200" alt="" align="center" style="margin-bottom:10px;margin-top:10px;margin-left:auto;margin-right:auto;padding-left:auto;padding-right:auto;" /> | **DRDMannTurb: A python package for scalable, data-driven synthetic turbulence** <br> _with Alexey Izmailov, Matthew Meeker, and Georgios Deskos_ <br> Python Package (2024) [[PyPI](https://pypi.org/project/drdmannturb/1.0.0/)] [[documentation](https://methods-group.github.io/DRDMannTurb/)] [[journal doi](https://doi.org/10.21105/joss.06838)] |
+| <img src="/assets/images/mult3_r004_v010_03.png" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:0px;margin-left:0px;margin-right:0px;padding-left:5px;padding-right:5px;" /> | **The SiMPL method for multi-material topology optimization.** <br> _with Peter Gangl, Dohyun Kim, Boyan S. Lazarov, and Thomas M. Surowiec_ <br> arXiv: 2605.11994 [math.NA] [[preprint](https://arxiv.org/abs/2605.11994)] |
+| <img src="/assets/images/paper.gif" width="200" alt="" align="center" style="display:block; background-color: rgb(245, 245, 245); margin-bottom:10px;margin-top:10px;margin-left:0px;margin-right:0px;padding-left:0px;padding-right:0px;" /> | **Proximal Galerkin for the isometry constraint.** <br> _with Frederic Marazzato_ <br> arXiv: 2605.07054 [math.NA] [[preprint](https://arxiv.org/abs/2605.07054)] |
+| <img src="/assets/images/at1_cont_pgm5.png" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:10px;margin-left:0px;margin-right:0px;padding-left:0px;padding-right:0px;" /> | **Proximal Galerkin for phase field fracture** <br> _with Miguel Castillón, Biswajit Khara, Jørgen S. Dokken, Thomas M. Surowiec, and Yuri Bazilevs_ <br> arXiv: 2604.26210 [math.NA] [[preprint](https://arxiv.org/abs/2604.26210)] |
+| <img src="/assets/images/ex1_sol-eps-converted-to.png" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:10px;margin-left:0px;margin-right:0px;padding-left:5px;padding-right:5px;" /> | **Proximal discontinuous Galerkin methods for variational inequalities** <br> _with Alexandre Ern, Dohyun Kim, Rami Masri, and Beatrice Riviere_ <br> arXiv: 2604.19708 [math.NA] [[preprint](https://arxiv.org/abs/2604.19708)] |
+| <img src="/assets/images/dam1.png" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:10px;margin-left:0px;margin-right:0px;padding-left:0px;padding-right:0px;" /> | **The proximal Galerkin method for non-symmetric variational inequalities** <br> _with Guosheng Fu, Dohyun Kim, Rami Masri and Will Pazner_ <br> arXiv: 2602.14967 [math.NA] [[preprint](https://arxiv.org/abs/2602.14967)] |
+| <img src="/assets/images/APriori.png" width="200" alt="" align="center" style="display:block;margin-bottom:20px;margin-top:20px;margin-left:0px;margin-right:0px;padding-left:0px;padding-right:0px;" /> | **A priori error analysis of the proximal Galerkin method** <br> _with Rami Masri and Marius Zeinhofer_ <br> arXiv: 2507.13516 [math.NA] [[preprint](https://arxiv.org/abs/2507.13516)] |
+| <img src="/assets/images/two_level_bloch_2.png" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:10px;margin-left:0px;margin-right:0px;padding-left:15px;padding-right:15px;" /> | **Learning thermodynamic master equations for open quantum systems** <br> _with Peter Sentz, Stanley Nicholson, Yujin Cho, Sohail Reddy and Stefanie Günther_ <br> arXiv: 2506.01882 [quant-ph] [[preprint](https://arxiv.org/abs/2506.01882)] |
 
 ## Peer-Reviewed Scientific Articles
 
+| <img src="/assets/images/punctured_domain-min.png" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:0px;margin-left:0px;margin-right:0px;padding-left:15px;padding-right:15px;" /> | **A locally-conservative proximal Galerkin method for pointwise bound constraints** <br> _with Guosheng Fu and Rami Masri_ <br> Mathematics of Computational (to appear, 2026) [[preprint](https://arxiv.org/abs/2412.21039)] [[code]](https://github.com/ramimasri/FOSPG-first-order-system-proximal-Galerkin) |
 | <img src="/assets/images/lvpp.gif" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:0px;margin-left:0px;margin-right:0px;padding-left:15px;padding-right:15px;" /> | **The latent variable proximal point algorithm for variational problems with inequality constraints** <br> _with Jørgen S. Dokken, Patrick E. Farrell, Ioannis P. A. Papadopoulos, Thomas M. Surowiec_ <br> Computer Methods in Applied Mechanics and Engineering (2025)  [[preprint](https://arxiv.org/abs/2503.05672)] [[journal doi](https://doi.org/10.1016/j.cma.2025.118181)] [[code]](https://github.com/METHODS-Group/ProximalGalerkin) |
 | <img src="/assets/images/SiMPL_convergence.png" width="200" alt="" align="left" style="display:block;margin-bottom:10px;margin-top:auto;margin-left:auto;margin-right:auto;padding-left:auto;padding-right:auto;" /> | **Analysis of the SiMPL method for density-based topology optimization** <br> _with Dohyun Kim, Boyan Lazarov, and Thomas M. Surowiec_ <br> SIAM Journal on Optimization (2025) [[preprint](https://arxiv.org/abs/2409.19341)] [[journal doi](https://doi.org/10.1137/24M1708863)] |
 | <img src="/assets/images/pic_v0.07_02.png" width="200" alt="" align="center" style="display:block;margin-bottom:10px;margin-top:auto;margin-left:auto;margin-right:auto;padding-left:auto;padding-right:auto;" /> | **A simple introduction to the SiMPL method for density-based topology optimization** <br> _with Dohyun Kim, Boyan Lazarov, and Thomas M. Surowiec_ <br> Structural and Multidisciplinary Optimization (2025) [[preprint](https://arxiv.org/abs/2411.19421)] [[code]](https://github.com/dohyun-cse/mfem/tree/simpl2) [[journal doi](https://doi.org/10.1007/s00158-025-04008-9)] |
@@ -69,6 +70,10 @@ My published work can also be tracked on [Scopus](https://www.scopus.com/authid/
 | Keith, B., Fuentes, F., and Demkowicz, L. (2016). The DPG methodology applied to different variational formulations of linear elasticity. _Computer Methods in Applied Mechanics and Engineering_, 309:579-609. [[preprint](https://arxiv.org/abs/1601.07937)] [[doi](https://doi.org/10.1016/j.cma.2016.05.034)] |
 | Fuentes, F., Keith, B., Demkowicz, L., and Nagaraj, S. (2015). Orientation embedded high order shape functions for the exact sequence elements of all shapes. _Computers & Mathematics with Applications_, 70(4):353-458. [[preprint](https://arxiv.org/abs/1504.03025)] [[doi](https://doi.org/10.1016/j.camwa.2015.04.027)] [[code](https://github.com/libESEAS/ESEAS)] | -->
 
+## Software
+
+| <img src="/assets/images/drd.gif" width="200" height="200" alt="" align="center" style="margin-bottom:10px;margin-top:10px;margin-left:auto;margin-right:auto;padding-left:auto;padding-right:auto;" /> | **DRDMannTurb: A python package for scalable, data-driven synthetic turbulence** <br> _with Alexey Izmailov, Matthew Meeker, and Georgios Deskos_ <br> Python Package (2024) [[PyPI](https://pypi.org/project/drdmannturb/1.0.0/)] [[documentation](https://methods-group.github.io/DRDMannTurb/)] [[journal doi](https://doi.org/10.21105/joss.06838)] |
+
 ## Conference Proceedings
 
 | <img src="/assets/images/ModelArchitecture.png" width="330" height="330" alt="" align="left" style="display:block;margin-bottom:15px;margin-top:0px;margin-left:auto;margin-right:auto;padding-left:auto;padding-right:auto;" /> | **Improving explainability of softmax classifiers using a prototype-based joint embedding method** <br> _with Hilarie Sit and Karianne Bergen_ <br> Proceedings of the Workshop on Explainable AI at IJCAI [[preprint](https://arxiv.org/abs/2407.02271)] |