People
Professor Emmanuil Georgoulis
Professor of Mathematics
School/Department: Computing and Mathematical Sciences, School of
Telephone: +44 (0)116 252 3603
Email: eg64@leicester.ac.uk
Profile
Research
a) Computational Methods for Partial Differential Equations arising in solids, fluids, mathematical biology and multiscale problems; in particular, finite element methods, discontinuous Galerkin methods, finite volume methods, multiscale methods, their error analysis and adaptivity strategies.
b) Approximation Theory; in particular, multivariate approximation using polynomials, radial basis functions and hierarchical/wavelet bases, high-dimensional approximation.
Publications
E. H. Georgoulis.
Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov's equation. SIAM Journal on Numerical Analysis 59(1) pp.173-194 (2021).
A. Cangiani, E. H. Georgoulis, and Y. Sabawi.
Adaptive discontinuous Galerkin methods for elliptic interface problems. Mathematics of Computation 87(314) pp. 2675-2707 (2018),
A. Cangiani, E. H. Georgoulis, A. Yu. Morozov, and O. J. Sutton.
Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework. Proceedings of the Royal Society A 474(2213).
A. Cangiani, E. H. Georgoulis, T. Pryer and O. J. Sutton.
A posteriori error estimates for the virtual element method. Numerische Mathematik 137(4) pp.857-893 (2017).
A. Cangiani, E. H. Georgoulis, I. Kyza and S. Metcalfe.
Adaptivity and blow-up detection for nonlinear evolution problems. SIAM Journal on Scientific Computing 38(6) pp. A3833-A3856 (2016).
A. Cangiani, E. H. Georgoulis and P. Houston.
Version discontinuous Galerkin methods on polygonal and polyhedral meshes. Mathematical Models and Methods in Applied Sciences 24(10) pp. 2009 (2014).