With the increase in computational power in the last decade and the forthcoming Exascale
supercomputers, a new horizon in computational modelling and simulation is envisioned in …

This work presents a review of high-order hybridisable discontinuous Galerkin (HDG)
methods in the context of compressible flows. Moreover, an original unified framework for …

The paper presents a unified approach for the a posteriori generation of arbitrary high-order
curvilinear meshes via a solid mechanics analogy. The approach encompasses a variety of …

SUMMARY A p‐adaptive hybridizable discontinuous Galerkin method for the solution of
wave problems is presented in a challenging engineering problem. Moreover, its …

This work proposes a superconvergent hybridizable discontinuous Galerkin (HDG) method
for the approximation of the Cauchy formulation of the Stokes equation using same degree …

The NURBS-enhanced finite element method (NEFEM) combined with a hybridisable
discontinuous Galerkin (HDG) approach is presented for the first time. The proposed …

SUMMARY Three Galerkin methods—continuous Galerkin, Compact Discontinuous
Galerkin, and hybridizable discontinuous Galerkin—are compared in terms of performance …

Purpose This study aims to assess the robustness and accuracy of the face-centred finite
volume (FCFV) method for the simulation of compressible laminar flows in different regimes …

This paper presents the first method that enables the fully automatic generation of triangular
meshes suitable for the so‐called non‐uniform rational B‐spline (NURBS)‐enhanced finite …

Cardiac electrophysiology simulations are numerically challenging because of the
propagation of a steep electrochemical wave front and thus require discretizations with small …