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Philip J. Herbert
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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
142022
Small deformations of spherical biomembranes
CM Elliott, L Hatcher, PJ Herbert
The Role of Metrics in the Theory of Partial Differential Equations. Adv …, 2019
62019
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
22020
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
12021
Shape optimisation in the topology with the ADMM algorithm
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
Non-stationary incompressible linear fluid equations in a moving domain
A Djurdjevac, C Gräser, PJ Herbert
arXiv preprint arXiv:2106.08312, 2021
2021
Point particle interactions on surface biomembranes: second order splitting and surface finite elements
PJ Herbert
University of Warwick, 2020
2020
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Articles 1–8