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The deal.II finite element library: design, features, and insights

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arxiv 1910.13247 v2 pith:QYILPCBF submitted 2019-10-24 cs.MS

classification cs.MS
keywords deallibrarycommunitydesignelementfeaturesfinitesoftware
verification ladder T0 review T1 audit T2 compute T3 formal
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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 design considerations and its sophisticated features such as distributed meshes, $hp$-adaptivity, support for complex geometries, and matrix-free algorithms. But deal.II is more than just a software library: It is also a diverse and worldwide community of developers and users, as well as an educational platform. We therefore also discuss some of the technical and social challenges and lessons learned in running a large community software project over the course of two decades.

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Cited by 2 Pith papers

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    cs.CE 2025-06 conditional novelty 6.0 of 10

    First demonstration of 3D spectral-element simulation of ultrasonic wave propagation through a dolphin head, using SPECFEM3D on a 16-million-element hexahedral mesh.

  2. Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method

    astro-ph.HE 2025-01 accept novelty 6.0 of 10

    Sapphire++ is an open-source solver for the Vlasov-Fokker-Planck equation that combines spherical harmonic expansion with discontinuous Galerkin discretization, validated against analytic diffusive shock acceleration results.

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