Nov 29, 2017 · In this paper we address this question in the context of the numerical solution of partial differential equations with finite element methods, ...

This paper addresses the question of how a substantial reduction in computational complexity can be achieved for operator application compared to a ...

The experiment results show that matrix-free implementation can effectively speed up RKDG simulation on Euler equations and the performance improvement in three ...

Sep 6, 2024 · This data structure is essential for high-performance implementations of the discontinuous Galerkin method [4, 5] as it avoids costly memory ...

We present a high performance high-order DG solver for the acoustic wave equation that is general in terms of geometries, frequency range, and speed of sound ...

Oct 22, 2024 · The performance results presented in this work focus on the node‐level performance and our results suggest that there is great potential for ...

We present a new matrix-free implementation of block-smoothers. Inverting the block matrices iteratively avoids storage and factorisation of the matrix.

The present work raises the question regarding the computational efficiency of compressible DG solvers as compared to a genuinely incompressible formulation.

ExaDG aims to provide next generation's fluid dynamics solvers by the use of novel discretization techniques (discontinuous Galerkin methods) and efficient ...

This study presents a fair performance comparison of the continuous finite element method, the symmetric interior penalty discontinuous Galerkin method, and the ...