Second order splitting of a class of fourth order PDEs with point constraints. - Charles M. Elliott; Philip J. Herbert (Math. Comput., 2020)

Shape Optimisation with W1, ∞: A connection between the steepest descent and Optimal Transport. - Philip J. Herbert (CoRR, 2023)

The Stochastic Steepest Descent Method for Robust Optimization in Banach Spaces. - Neil K. Chada; Philip J. Herbert (CoRR, 2023)

Convergence of a steepest descent algorithm in shape optimisation using $W^{1, infty}$ functions. - Klaus Deckelnick; Philip J. Herbert; Michael Hinze (CoRR, 2023)

A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation. - Zhaonan Dong; Emmanuil H. Georgoulis; Philip J. Herbert (CoRR, 2024)

A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation. - Zhaonan Dong; Emmanuil H. Georgoulis; Philip J. Herbert (SIAM J. Numer. Anal., 2025)

Asymptotic numerical hypocoercivity of the space-time discontinuous Galerkin method for Kolmogorov equation. - Zhaonan Dong; Emmanuil H. Georgoulis; Philip J. Herbert (CoRR, 2025)