The deal.II library, Version 9.3

Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, René; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Münch, Peter; Pelteret, Jean-Paul; Proell, Sebastian D.; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi

doi:10.1515/jnma-2021-0081

Cited by 129 publications

(86 citation statements)

References 49 publications

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“…Equation ( 6) was implemented while using functions from the libraries deal.II [69,70] and PETSc [71,72]. The computations were run on the local HPC cluster IDUN/EPIC [73] and on resources provided by UNINETT Sigma2 -the National Infrastructure for High Performance Computing and Data Storage in Norway.…”

Section: B Numerical Model and Methodsmentioning

confidence: 99%

Nonlinearity and wavelength control in ultrashort-pulse subsurface material processing

Richter¹,

Калашников²,

Sorokina³

2022

Preprint

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The pronounced dependence of the nonlinear parameters of both dielectric and semiconductor materials on the wavelength, and the nonlinear interaction between the ultra-short laser pulse and the material requires precise control of the wavelength of the pulse, in addition to the precise control of the pulse energy, pulse duration and focusing optics. This becomes particularly important for fine sub-wavelength single pulse sub-surface processing. Based on two different numerical models and taking Si as example material, we investigate the spatio-temporal behavior of a pulse propagating through the material while covering a broad range of parameters. The wavelength-dependence of material processing depends on the different contributions of two-and tree-photon absorption in combination with the Kerr effect which results in a particularly sharp nonlinear peak at ≈ 2100 nm. We could show that in silicon this makes processing preferable close to this wavelength. The impact of the nonlinear nonparaxial propagation effects on spatio-temporal beam structure is also investigated. It could be shown that with increasing wavelength and large focusing angles the aberrations at the focal spot can be reduced, and thereby cleaner and more precise processing can be achieved. Finally, we could show that the optimum energy transfer from the pulse to the material is within a narrow window of pulse durations between 600 to 900 fs.

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Section: B Numerical Model and Methodsmentioning

confidence: 99%

Nonlinearity and wavelength control in ultrashort-pulse subsurface material processing

Richter¹,

Калашников²,

Sorokina³

2022

Preprint

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“…FEM_2D's primary advantage over other FEM libraries, such as the Deal.II library (Arndt et al 2021), is its highly dynamic and expressive hp-refinement API. Unlike many other quadrilateral-element FEM packages, FEM_2D supports n-irregular anisotropic h-refinement as well as anisotropic p-refinement.…”

Section: Statement Of Needmentioning

confidence: 99%

FEM_2D: A Rust Package for 2D Finite Element Method Computations with Extensive Support for hp-refinement

Corrado¹,

Harmon²,

Notaroš³

et al. 2022

Preprint

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FEM_2D is an open-source Finite Element Method library implemented in Rust. This MetaPaper describes some of the libraries basic functionality, as well as its unique contributions to the FEM research community. This package exhibits a powerful *hp*-refinement API with anisotropic refinements and no constraints on mesh irregularity. It also leverages Rust's Trait-Based Genericism to provide straightforward application to many problem domains. This library has been featured in some recent research in Computational Electromagnetics (see references), depicting the validity of the underlying methodology. FEM_2D has been made available as an open-source library with the intention of providing additional explanatory value to the existing related research, as well as to facilitate the expansion of this research area

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“…We conducted numerical experiments with a 2D finite element code [Advanced Solver for Problems in Earth's ConvecTion (ASPECT); Kronbichler et al, 2012]. ASPECT is an extensible code of the C++ program library deal.ii (Differential Equations Analysis Library, https://www.dealii.org/) targeted at the computational solution of partial differential equations using adaptive finite elements (Arndt et al, 2021). It solves regional thermal convection problems and incorporates the use of complex boundary conditions, large variations in rheological parameters, and localized mesh refinement.…”

Section: Governing Equationmentioning

confidence: 99%

Effects of Plate Velocity Slowdown on Altering Continental Collision Patterns and Crustal-Lithospheric Deformation During the Collision Process

Liu¹,

Yang²,

Huangfu³

2022

Front. Earth Sci.

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Continental collision zones are widely distributed across the earth’s surface with diverse types of tectonic processes. Even the same collision zone shows significant lateral tectonic variations along its strike. In this study, we systematically investigated how plate velocity slowdown after the closure of the ocean influences the continental collision evolution, as well as the effects of kinematic characteristics and continental rheology on varying the continental collision modes in a plate velocity slowdown model. From the comparison between the constant plate velocity system (CVS) and the plate velocity-dropping system (VDS), we can conclude the following: Plate velocity dropping promotes the extension inside the slab by decreasing the movement of the surface plate, whereas slab pull increases as subduction continues. The timing of the subducting slab break-off and the polarity alteration was initiated earlier in the plate velocity drop models than in the constant plate velocity models, and fast convergence may have triggered multiple episodes of slab break-off and caused strong deformation adjacent to the collision zone. Parametric tests of the initial subducting angle, plate convergence velocity, and continental crustal rheological strength in VDS indicated the following: (1) Three end members of the continental lithospheric mantle deformation modes were identified from the VDS; (2) models with a low subducting angle, fast continental convergence velocity, and medium-strength overriding crust were more likely to evolve into a polarity reversed mode, whereas steep-subducting-angle, slow-plate-velocity, weak-overriding-crust models tended toward a two-sided mode; (3) a strong overriding continent is more liable to develop a stable mode; and (4) overriding crustal rheological strength plays a significant role in controlling changes in continental collision modes.

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The deal.II library, Version 9.3

Abstract: This paper provides an overview of the new features of the finite element library deal.II, version 9.3.

Cited by 129 publications

References 49 publications

Nonlinearity and wavelength control in ultrashort-pulse subsurface material processing

Nonlinearity and wavelength control in ultrashort-pulse subsurface material processing

FEM_2D: A Rust Package for 2D Finite Element Method Computations with Extensive Support for hp-refinement

Effects of Plate Velocity Slowdown on Altering Continental Collision Patterns and Crustal-Lithospheric Deformation During the Collision Process

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