| A novel W1,∞ approach to shape optimisation with Lipschitz domains K Deckelnick, PJ Herbert, M Hinze ESAIM: Control, Optimisation and Calculus of Variations 28, 2, 2022 | 26 | 2022 |
| Small deformations of spherical biomembranes CM Elliott, L Hatcher, PJ Herbert The Role of Metrics in the Theory of Partial Differential Equations. Adv …, 2019 | 7 | 2019 |
| Second order splitting of a class of fourth order PDEs with point constraints C Elliott, P Herbert Mathematics of Computation 89 (326), 2613-2648, 2020 | 2 | 2020 |
| An evolving space framework for Oseen equations on a moving domain A Djurdjevac, C Gräser, PJ Herbert ESAIM: Mathematical Modelling and Numerical Analysis 57 (5), 3113-3138, 2023 | 1 | 2023 |
| A formula for membrane mediated point particle interactions on near spherical biomembranes CM Elliott, PJ Herbert Interfaces and Free Boundaries 24 (1), 1-34, 2021 | 1 | 2021 |
| A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation Z Dong, EH Georgoulis, PJ Herbert arXiv preprint arXiv:2401.12921, 2024 | | 2024 |
| Convergence of a steepest descent algorithm in shape optimisation using functions K Deckelnick, PJ Herbert, M Hinze arXiv preprint arXiv:2310.15078, 2023 | | 2023 |
| Shape optimization in with geometric constraints: a study in distributed-memory systems PJ Herbert, JAP Escobar, M Siebenborn arXiv preprint arXiv:2309.15607, 2023 | | 2023 |
| The Stochastic Steepest Descent Method for Robust Optimization in Banach Spaces NK Chada, PJ Herbert arXiv preprint arXiv:2308.06116, 2023 | | 2023 |
| PDE constrained shape optimisation with first-order and Newton-type methods in the topology K Deckelnick, PJ Herbert, M Hinze arXiv preprint arXiv:2301.08690, 2023 | | 2023 |
| Shape Optimisation with : A connection between the steepest descent and Optimal Transport PJ Herbert arXiv preprint arXiv:2301.07994, 2023 | | 2023 |
| Shape optimisation in the W1∞ topology with the ADMM algorithm PJ Herbert, M Hinze, K Deckelnick Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik, 2023 | | 2023 |
| Point particle interactions on surface biomembranes: second order splitting and surface finite elements PJ Herbert University of Warwick, 2020 | | 2020 |
Michael HinzeProfessor for optimization of complex systems, Mathematisches Institut, Universität KoblenzVerified email at uni-koblenz.de
