Summary
My research in the Department of Earth Science and Engineering focuses on advanced discretisation methods for geoscience applications. I am particularly interested in mesh adaptation, adjoint methods and automatic differentiation techniques. Much of my research is on the topic which brings these strands together most clearly: goal-oriented error estimation and mesh adaptation. Motivating applications include the accurate approximation of: the energy output of a tidal farm; the concentration of pollutant in a aquatic region of interest; and the inundation of a particular stretch of coastline by a tsunami.
I am a former MRes and PhD student on the Mathematics of Planet Earth Centre for Doctoral Training (MPE CDT) shared between Imperial College and the University of Reading.
Publications
Journals
Clare MCA, Wallwork JG, Kramer SC, et al., 2022, Multi-scale hydro-morphodynamic modelling using mesh movement methods, Gem: International Journal on Geomathematics, Vol:13, ISSN:1869-2672
Wallwork JG, Barral N, Ham DA, et al., 2022, Goal-oriented error estimation and mesh adaptation for tracer transport modelling, Computer-aided Design, Vol:145, ISSN:0010-4485, Pages:1-21
Wallwork JG, Barral N, Kramer SC, et al., 2020, Goal-oriented error estimation and mesh adaptation for shallow water modelling, Sn Applied Sciences, Vol:2, ISSN:2523-3971, Pages:1-11
Conference
Song W, Wallwork JG, Tian Z, et al., 2022, M2N: Mesh movement networks for PDE solvers, 36th Conference on Neural Information Processing Systems (NeurIPS 2022), Pages:1-12, ISSN:1049-5258