69 citations · 229 across the 40 of their papers we have counts for
5 papers · 1 filter
Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework
Andrea Cangiani, Emmanuil H. Georgoulis, Andrew Yu. Morozov +1
Understanding how patterns and travelling waves form in chemical and biological reaction-diffusion models is an area which has been widely researched, yet is still experiencing fas…
A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems
Emmanuil H. Georgoulis, Omar Lakkis, Thomas P. Wihler
We consider fully discrete time-space approximations of abstract linear parabolic partial differential equations (PDEs) consisting of an -version discontinuous Galerkin (DG) ti…
Virtual Element Method for Quasilinear Elliptic Problems
Andrea Cangiani, Panagiotis Chatzipantelidis, Ganesh Diwan +1
We present a Virtual Element Method (VEM) for the solution of Dirichlet problems for the quasilinear equation with essential boundary conditions…
Recovered Finite Element Methods
Emmanuil H. Georgoulis, Tristan Pryer
We introduce a family of Galerkin finite element methods which are constructed via recovery operators over element-wise discontinuous approximation spaces. This new family, termed…
Babuška-Osborn techniques in discontinuous Galerkin methods: -norm error estimates for unstructured meshes
Emmanuil Georgoulis, Charalambos Makridakis, Tristan Pryer
We prove the inf-sup stability of the interior penalty class of discontinuous Galerkin schemes in unbalanced mesh-dependent norms, under a mesh condition allowing for a general cla…