[HTML][HTML] The Dune framework: Basic concepts and recent developments

P Bastian, M Blatt, A Dedner, NA Dreier… - … & Mathematics with …, 2021 - Elsevier
This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …

MFEM: A modular finite element methods library

R Anderson, J Andrej, A Barker, J Bramwell… - … & Mathematics with …, 2021 - Elsevier
MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite
element methods that features arbitrary high-order finite element meshes and spaces …

The deal. II library, version 9.2

D Arndt, W Bangerth, B Blais, TC Clevenger… - Journal of Numerical …, 2020 - degruyter.com
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The deal. II finite element library: Design, features, and insights

D Arndt, W Bangerth, D Davydov, T Heister… - … & Mathematics with …, 2021 - Elsevier
Abstract deal. II is a state-of-the-art finite element library focused on generality, dimension-
independent programming, parallelism, and extensibility. Herein, we outline its primary …

The deal. II library, version 9.4

D Arndt, W Bangerth, M Feder, M Fehling… - Journal of Numerical …, 2022 - degruyter.com
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The deal. II library, version 9.0

G Alzetta, D Arndt, W Bangerth, V Boddu… - Journal of Numerical …, 2018 - degruyter.com
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The deal. II library, version 9.3

D Arndt, W Bangerth, B Blais, M Fehling… - Journal of Numerical …, 2021 - degruyter.com
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Scalability of high-performance PDE solvers

P Fischer, M Min, T Rathnayake… - … Journal of High …, 2020 - journals.sagepub.com
Performance tests and analyses are critical to effective high-performance computing
software development and are central components in the design and implementation of …

A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers

M Kronbichler, WA Wall - SIAM Journal on Scientific Computing, 2018 - SIAM
This study presents a fair performance comparison of the continuous finite element method,
the symmetric interior penalty discontinuous Galerkin method, and the hybridized …

Multigrid for matrix-free high-order finite element computations on graphics processors

M Kronbichler, K Ljungkvist - ACM Transactions on Parallel Computing …, 2019 - dl.acm.org
This article presents matrix-free finite-element techniques for efficiently solving partial
differential equations on modern many-core processors, such as graphics cards. We …