67 citations · 324 across the 36 of their papers we have counts for
5 papers · 1 filter
Residual Minimisation for Transport-Based Optimal Control
Tristan Pryer, Nikolaos Rekatsinas
We consider an optimal control problem governed by a stationary linear transport equation in two or three spatial dimensions, motivated by photon transport in radiotherapy treatmen…
Batched Wavefront Sweeps for Linear Transport Uncertainty Quantification
Tristan Pryer
We develop a graph-compatible batched wavefront formulation for upwind discontinuous Galerkin discretisations of linear transport. For sweepable discretisations, the cell equations…
Polytopic symmetric interior-penalty approximation of elliptic SPDEs driven by spatial white noise
Tristan Pryer
We analyse symmetric interior-penalty discontinuous Galerkin approximations of elliptic stochastic partial differential equations driven by spatial Gaussian white noise on quasi-un…
Multi-level Monte Carlo Dropout for Efficient Uncertainty Quantification
Aaron Pim, Tristan Pryer
We develop a multilevel Monte Carlo (MLMC) framework for uncertainty quantification with Monte Carlo dropout. Treating dropout masks as a source of epistemic randomness, we define…
A finite element method preserving the eigenvalue range of symmetric tensor fields
Abdolreza Amiri, Gabriel R. Barrenechea, Tristan Pryer
This paper presents a finite element method that preserves (at the degrees of freedom) the eigenvalue range of the solution of tensor-valued time-dependent convection--diffusion eq…