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

Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David

doi:10.1016/j.camwa.2020.02.022

Cited by 177 publications

(130 citation statements)

References 33 publications

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“…As part of the ExaDG project, we have developed efficient implementations in the deal.II finite element library [1,4] with the following main features, see [50] for a detailed performance analysis:…”

Section: Implementation Of Sum Factorization In the Dealii Librarymentioning

confidence: 99%

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ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale

Arndt

Fehn

Kanschat

et al. 2020

Software for Exascale Computing - SPPEXA 2016-2019

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This text presents contributions to efficient high-order finite element solvers in the context of the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing (SPPEXA). The main algorithmic components are the matrix-free evaluation of finite element and discontinuous Galerkin operators with sum factorization to reach a high node-level performance and parallel scalability, a massively parallel multigrid framework, and efficient multigrid smoothers. The algorithms have been applied in a computational fluid dynamics context. The software contributions of the project have led to a speedup by a factor 3 − 4 depending on the hardware. Our implementations are available via the deal.II finite element library.

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Section: Implementation Of Sum Factorization In the Dealii Librarymentioning

confidence: 99%

“…Next, we detail our multigrid developments, focusing on performance numbers and the massively parallel setup in Sect. 4 and on the development of better smoothers in Sect. 5.…”

Section: Introductionmentioning

confidence: 99%

ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale

Arndt

Fehn

Kanschat

et al. 2020

Software for Exascale Computing - SPPEXA 2016-2019

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“…Parts of these developments go further back to the author's PhD thesis [46]. The numerical examples were computed with the help of DOpElib [24] (based on deal.II [2]).…”

Section: Optimal Control and Optimal Design For Stationary Fluid-strumentioning

confidence: 98%

On the Adjoint Equation in Fluid-Structure Interaction

Wick¹

2021

14th WCCM-ECCOMAS Congress

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“…It relies almost entirely on the deal.II library (Bangerth et al, 2007;Arndt et al, 2019Arndt et al, , 2020 for all finite-element-related algorithms. The material tracking is based on the PIC method (e.g., Asgari and Moresi, 2012;Thielmann et al, 2014;Gassmöller et al, 2018Gassmöller et al, , 2019Trim et al, 2019). The general workflow of the code is shown in Fig.…”

Section: Presentationmentioning

confidence: 99%

Towards the application of Stokes flow equations to structural restoration simulations

et al. 2020

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Abstract. Structural restoration is commonly used to assess the deformation of geological structures and to reconstruct past basin geometries. For this, geomechanical restoration considers faults as frictionless contact surfaces. To bring more physical behavior and better handle large deformations, we build on a reverse-time Stokes-based method, previously applied to restore salt structures with negative time step advection. We test the applicability of the method to structures including sediments of variable viscosity, faults and non-flat topography. We present a simulation code that uses a combination of arbitrary Lagrangian–Eulerian methods and particle-in-cell methods, and is coupled with adaptive mesh refinement. It is used to apply the reverse-time Stokes-based method on simple two-dimensional geological cross-sections and shows that reasonable restored geometries can be obtained.

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

Cited by 177 publications

References 33 publications

ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale

ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale

On the Adjoint Equation in Fluid-Structure Interaction

Towards the application of Stokes flow equations to structural restoration simulations

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