69 citations · 229 across the 40 of their papers we have counts for
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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…
Right orthogonal class of pure projective modules over pure hereditary rings
Umamaheswaran Arunachalam, Udhayakumar Ramalingam, Selvaraj Chelliah +1
We denote by the class of all pure projective modules. Present article we investigate -injective modules and these modules are defined via the vanishing…
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…