69 citations · 229 across the 40 of their papers we have counts for
3 papers · 2 filters
A Trefftz polynomial space-time discontinuous Galerkin method for the second order wave equation
Lehel Banjai, Emmanuil H. Georgoulis, Oluwaseun Lijoka
A new space-time discontinuous Galerkin (dG) method utilising special Trefftz polynomial basis functions is proposed and fully analysed for the scalar wave equation in a second ord…
Analysis of Discontinuous Galerkin Methods using Mesh-Dependent Norms and Applications to Problems with Rough Data
Emmanuil H. Georgoulis, Tristan Pryer
We prove the inf-sup stability of a discontinuous Galerkin scheme for second order elliptic operators in (unbalanced) mesh-dependent norms for quasi-uniform meshes for all spatial…
A posteriori error estimates for the virtual element method
Andrea Cangiani, Emmanuil H. Georgoulis, Tristan Pryer +1
An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies o…