| Blending neural operators and relaxation methods in PDE numerical solvers E Zhang, A Kahana, A Kopaničáková, E Turkel, R Ranade, J Pathak, ... Nature Machine Intelligence 6 (11), 1303-1313, 2024 | 86* | 2024 |
| A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture A Kopaničáková, R Krause Computer Methods in Applied Mechanics and Engineering 360, 112720, 2020 | 67 | 2020 |
| Deeponet based preconditioning strategies for solving parametric linear systems of equations A Kopaničáková, GE Karniadakis SIAM Journal on Scientific Computing 47 (1), C151-C181, 2025 | 49 | 2025 |
| A phase-field approach to conchoidal fracture C Bilgen, A Kopaničáková, R Krause, K Weinberg Meccanica 53 (6), 1203-1219, 2018 | 41 | 2018 |
| Enhancing training of physics-informed neural networks using domain decomposition–based preconditioning strategies A Kopaničáková, H Kothari, GE Karniadakis, R Krause SIAM Journal on Scientific Computing, S46-S67, 2024 | 36 | 2024 |
| Globally convergent multilevel training of deep residual networks A Kopanicáková, R Krause SIAM Journal on Scientific Computing 45 (3), S254-S280, 2022 | 25 | 2022 |
| Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture A Kopaničáková, H Kothari, R Krause Computer Methods in Applied Mechanics and Engineering 403, 115733, 2023 | 24 | 2023 |
| Utopia: A C++ embedded domain specific language for scientific computing. Git repository P Zulian, A Kopanicáková, MCG Nestola, A Fink, N Fadel, A Rigazzi, ... | 21 | 2016 |
| Multilevel minimization for deep residual networks L Gaedke-Merzhäuser, A Kopaničáková, R Krause ESAIM: Proceedings and Surveys 71, 131-144, 2021 | 20 | 2021 |
| A detailed investigation of the model influencing parameters of the phase‐field fracture approach C Bilgen, A Kopaničáková, R Krause, K Weinberg GAMM‐Mitteilungen 43 (2), e202000005, 2020 | 15 | 2020 |
| Multilevel objective-function-free optimization with an application to neural networks training S Gratton, A Kopaničáková, PL Toint SIAM Journal on Optimization 33 (4), 2772-2800, 2023 | 14 | 2023 |
| Large scale simulation of pressure induced phase-field fracture propagation using Utopia P Zulian, A Kopaničáková, MGC Nestola, A Fink, NA Fadel, ... CCF transactions on high performance computing 3 (4), 407-426, 2021 | 14 | 2021 |
| Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications Y Lee, A Kopaničáková, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 448, 118400, 2026 | 12 | 2026 |
| Subdivision-Based Nonlinear Multiscale Cloth Simulation A Kopaničáková, R Krause, R Tamstorf SIAM Journal on Scientific Computing 41 (5), S433-S461, 2019 | 12 | 2019 |
| A Multigrid Preconditioner for Jacobian-free Newton–Krylov Methods H Kothari, A Kopaničáková, R Krause Domain Decomposition Methods in Science and Engineering XXVI, 365-372, 2023 | 7 | 2023 |
| Gesture recognition using DTW and its application potential in human-centered robotics A Kopaničáková, M Virčíková Robotics research paper, 2013 | 7 | 2013 |
| Leveraging operator learning to accelerate convergence of the preconditioned conjugate gradient method A Kopaničáková, Y Lee, GE Karniadakis Machine Learning for Computational Science and Engineering 1 (2), 39, 2025 | 4 | 2025 |
| On the use of hybrid coarse-level models in multilevel minimization methods A Kopaničáková International Conference on Domain Decomposition Methods, 303-310, 2022 | 4 | 2022 |
| Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints H Kothari, A Kopaničáková, R Krause International Conference on Domain Decomposition Methods, 319-326, 2022 | 4 | 2022 |
| Training of deep residual networks with stochastic MG/OPT C von Planta, A Kopanicáková, R Krause arXiv preprint arXiv:2108.04052, 2021 | 4 | 2021 |