Publications

Here is a list of my academic publications. See my Google Scholar page for further details.

O. J. Sutton, A. N. Gorban and I. Y. Tyukin (2022). Towards a mathematical understanding of learning from few examples with nonlinear feature maps. https://arxiv.org/abs/2211.03607

P. Houston, M. E. Hubbard, T. J. Radley, O. J. Sutton and R. S. J. Widdowson (2022). High order space-angle energy discontinuous Galerkin finite element methods on polytopic meshes for the linear Boltzmann transport problem. Submitted.

L. Mascotto, Z. Dong and O. J. Sutton (2021). Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem, SIAM Journal on Numerical Analysis 59 (3) 1273-1298.

A. Cangiani, E. H. Georgoulis, and O. J. Sutton (2021). Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods, Mathematical Models and Methods in Applied Sciences 31 (4) 711-751.

O. J. Sutton (2020). Long-time L∞(L2) a posteriori error estimates for fully discrete parabolic problems, IMA Journal of Numerical Analysis, Volume 40, Issue 1, Pages 498–529.

A. Cangiani, E. H. Georgoulis, A. Yu. Morozov, and O. J. Sutton (2018). Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework, Proceedings of the Royal Society A, 474 20170608.

O. J. Sutton (2017). The virtual element method in 50 lines of MATLAB, Numerical Algorithms, 75(4), 1141-1159. The full code is available on GitHub.

A. Cangiani, E. H. Georgoulis, T. Pryer, and O. J. Sutton (2017). A posteriori error estimates for the virtual element method, Numerische Mathematik, 137(4), 857-893.

A. Cangiani, G. Manzini, and O. J. Sutton (2017). Conforming and nonconforming virtual element methods for elliptic problems, IMA Journal of Numerical Analysis, 37(3), 1317-1354.

A. Cangiani, O. J. Sutton, V. Gyrya, and G. Manzini (2017). Virtual element methods for elliptic problems on polygonal meshes. In: K. Hormann and N. Sukumar, ed., Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, 1st ed. CRC Press.

O. J. Sutton (2017). Virtual element methods. PhD Thesis, University of Leicester.

A. Cangiani, G. Manzini, and O. J. Sutton (2014). The Conforming Virtual Element Method for the convection-diffusion-reaction equation with variable coefficients. Technical report LA-UR-14-27710, Los Alamos National Laboratory.

A. Cangiani, G. Manzini, and O. J. Sutton (2014). Numerical results using the conforming VEM for the convection-diffusion-reaction equation with variable coefficients. Technical report LA-UR-14-27709, Los Alamos National Laboratory.