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cs.CE2025
An entropy-stable and kinetic energy-preserving macro-element HDG method for compressible flows
Vahid Badrkhani, Marco F. P. ten Eikelder, Dominik Schillinger
This paper introduces a high order numerical framework for efficient and robust simulation of compressible flows. To address the inefficiencies of standard hybridized discontinuous…
cs.CE2024
The matrix-free macro-element hybridized Discontinuous Galerkin method for steady and unsteady compressible flows
Vahid Badrkhani, Marco F. P. ten Eikelder, Rene R. Hiemstra +1
The macro-element variant of the hybridized discontinuous Galerkin (HDG) method combines advantages of continuous and discontinuous finite element discretization. In this paper, we…
cs.CE2023
Matrix-free polynomial preconditioning of saddle point systems using the hyper-power method
Michał Łukasz Mika, Marco ten Eikelder, Dominik Schillinger +1
This study explores the integration of the hyper-power sequence, a method commonly employed for approximating the Moore-Penrose inverse, to enhance the effectiveness of an existing…