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The deal.II Library, Version 9.0

Journal Article · · Journal of Numerical Mathematics
 [1];  [2];  [3];  [4];  [4];  [4];  [5];  [6];  [1];  [7];  [8];  [9];  [4];  [10];  [11]
  1. International School for Advanced Studies (SISSA), Trieste (Italy)
  2. Heidelberg Univ. (Germany). Interdisciplinary Center for Scientific Computing
  3. Colorado State Univ., Fort Collins, CO (United States). Dept. of Mathematics
  4. Friedrich-Alexander Univ. Erlangen-Nürnberg, Erlangen (Germany). Chair of Applied Mechanics
  5. Univ. of California, Davis, CA (United States). Dept. of Earth and Planetary Sciences
  6. Clemson Univ., SC (United States). Dept. of Mathematical Sciences
  7. Max Planck Inst. for Plasma Physics (IPP), Garching (Germany)
  8. Technical Univ. of Munich (Germany). Inst. for Computational Mechanics
  9. Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics
  10. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Engineering and Energy Sciences Group and Computational Sciences and Engineering Division
  11. Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Mathematical Sciences
+ Show Author Affiliations
This paper provides an overview of the new features of the finite element library deal.II version 9.0.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC); German Research Foundation (DFG); National Science Foundation (NSF); German Academic Exchange Service (DAAD); Univ. Grants Commission (UGC) (India); US Department of the Navy, Office of Naval Research (ONR); US Army Research Office (ARO); European Research Council (ERC)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1476394
Journal Information:
Journal of Numerical Mathematics, Journal Name: Journal of Numerical Mathematics Journal Issue: 4 Vol. 26; ISSN 1570-2820
Publisher:
de GruyterCopyright Statement
Country of Publication:
United States
Language:
English

References (21)

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities journal September 2009
Multifrontal parallel distributed symmetric and unsymmetric solvers journal April 2000
π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods journal July 2018
LinearOperator—A generic, high-level expression syntax for linear algebra journal July 2016
A generic interface for parallel cell-based finite element operator application journal June 2012
Multilevel methods for discontinuous Galerkin FEM on locally refined meshes journal November 2004
Hybrid scheduling for the parallel solution of linear systems journal February 2006
High accuracy mantle convection simulation through modern numerical methods – II: realistic models and problems journal May 2017
NetCDF: an interface for scientific data access journal July 1990
High accuracy mantle convection simulation through modern numerical methods: High accuracy mantle convection simulation journal August 2012
Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods journal January 2011
p4est : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees journal January 2011
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling journal January 2001
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs journal January 1998
SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems journal September 2005
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers journal September 2005
An overview of the Trilinos project journal September 2005
Algorithms and data structures for massively parallel generic adaptive finite element codes journal December 2011
Algorithm 755; ADOL-C: a package for the automatic differentiation of algorithms written in C/C++ journal June 1996
Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method journal June 2004
Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics journal December 2017

Cited By (29)

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A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems preprint January 2019
A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators preprint January 2019
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Parallel Approximate Ideal Restriction Multigrid for Solving the S$_N$ Transport Equations preprint January 2019
A priori error estimates of regularized elliptic problems text January 2019
Numerical evidence of anomalous energy dissipation in incompressible Euler flows: Towards grid-converged results for the inviscid Taylor-Green problem preprint January 2020
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Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model
  • Fehn, Niklas; Wall, Wolfgang A.; Kronbichler, Martin
  • International Journal for Numerical Methods in Biomedical Engineering, Vol. 35, Issue 12 https://doi.org/10.1002/cnm.3228
journal October 2019
Multiscale modeling of vascularized tissues via nonmatching immersed methods journal December 2019
A multiscale approach to hybrid RANS/LES wall modeling within a high‐order discontinuous Galerkin scheme using function enrichment
  • Krank, Benjamin; Kronbichler, Martin; Wall, Wolfgang A.
  • International Journal for Numerical Methods in Fluids, Vol. 90, Issue 2 https://doi.org/10.1002/fld.4712
journal January 2019
High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L 2 and H (div) methods
  • Fehn, Niklas; Kronbichler, Martin; Lehrenfeld, Christoph
  • International Journal for Numerical Methods in Fluids, Vol. 91, Issue 11 https://doi.org/10.1002/fld.4763
journal August 2019
Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions journal December 2019
A phase‐field method for modeling cracks with frictional contact journal October 2019
The Magnetic Signatures of the M 2 , N 2 , and O 1 Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data journal April 2019
Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors journal May 2019
Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators journal August 2019
Modeling the Effect of Intersected Fractures on Oil Production Rate of Fractured Reservoirs by Embedded Fracture Continuum Approach journal July 2019
Multiscale modeling of vascularized tissues via non-matching immersed methods text January 2018
Multiscale Modeling of Glacial Loading by a 3D Thermo-Hydro-Mechanical Approach Including Erosion and Isostasy journal October 2019
Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods journal February 2019
The Magnetic Signatures of the M2, N2, and O1 Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data text January 2019
Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model preprint January 2018
High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H$(div) methods text January 2019
A phase-field method for modeling cracks with frictional contact text January 2019

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