DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The deal.II Library, Version 9.1

Abstract

This paper give a summary of the new features of the finite element library deal.II, version 9.1.

Authors:
ORCiD logo [1];  [2];  [3];  [4];  [5];  [6];  [2];  [7];  [8];  [9];  [10];  [11];  [4]; ORCiD logo [1];  [12]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Colorado State Univ., Fort Collins, CO (United States)
  3. Clemson Univ., SC (United States)
  4. Univ. of Erlangen-Nuremberg, Bavaria (Germany)
  5. Forschungszentrum Julich (Germany)
  6. Sorbonne Univ., Paris (France)
  7. Clemson Univ., SC (United States); Univ. of Utah, Salt Lake City, UT (United States). Scientific Computing and Imaging (SCI) Inst.
  8. International School for Advanced Studies (SISSA), Trieste (Italy)
  9. Technische Univ. of Munich (Germany)
  10. Swansea Univ., Wales (United Kingdom)
  11. Texas A & M Univ., College Station, TX (United States)
  12. Univ. of North Carolina, Chapel Hill, NC (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1560447
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Numerical Mathematics
Additional Journal Information:
Journal Volume: 27; Journal Issue: 4; Journal ID: ISSN 1570-2820
Publisher:
de Gruyter
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Arndt, Daniel, Bangerth, Wolfgang, Clevenger, Thomas C., Davydov, Denis, Fehling, Marc, Garcia-Sanchez, Daniel, Harper, Graham, Heister, Timo, Heltai, Luca, Kronbichler, Martin, Maguire Kynch, Ross, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, and Wells, David. The deal.II Library, Version 9.1. United States: N. p., 2019. Web. doi:10.1515/jnma-2019-0064.
Arndt, Daniel, Bangerth, Wolfgang, Clevenger, Thomas C., Davydov, Denis, Fehling, Marc, Garcia-Sanchez, Daniel, Harper, Graham, Heister, Timo, Heltai, Luca, Kronbichler, Martin, Maguire Kynch, Ross, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, & Wells, David. The deal.II Library, Version 9.1. United States. https://doi.org/10.1515/jnma-2019-0064
Arndt, Daniel, Bangerth, Wolfgang, Clevenger, Thomas C., Davydov, Denis, Fehling, Marc, Garcia-Sanchez, Daniel, Harper, Graham, Heister, Timo, Heltai, Luca, Kronbichler, Martin, Maguire Kynch, Ross, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, and Wells, David. Sun . "The deal.II Library, Version 9.1". United States. https://doi.org/10.1515/jnma-2019-0064. https://www.osti.gov/servlets/purl/1560447.
@article{osti_1560447,
title = {The deal.II Library, Version 9.1},
author = {Arndt, Daniel and Bangerth, Wolfgang and Clevenger, Thomas C. and Davydov, Denis and Fehling, Marc and Garcia-Sanchez, Daniel and Harper, Graham and Heister, Timo and Heltai, Luca and Kronbichler, Martin and Maguire Kynch, Ross and Maier, Matthias and Pelteret, Jean-Paul and Turcksin, Bruno and Wells, David},
abstractNote = {This paper give a summary of the new features of the finite element library deal.II, version 9.1.},
doi = {10.1515/jnma-2019-0064},
journal = {Journal of Numerical Mathematics},
number = 4,
volume = 27,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 88 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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

  • Hernandez, Vicente; Roman, Jose E.; Vidal, Vicente
  • ACM Transactions on Mathematical Software, Vol. 31, Issue 3
  • DOI: 10.1145/1089014.1089019

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods
journal, July 2018


Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
journal, September 2009

  • Geuzaine, Christophe; Remacle, Jean-François
  • International Journal for Numerical Methods in Engineering, Vol. 79, Issue 11
  • DOI: 10.1002/nme.2579

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics
journal, December 2017

  • Davydov, Denis; Gerasimov, Tymofiy; Pelteret, Jean-Paul
  • Advanced Modeling and Simulation in Engineering Sciences, Vol. 4, Issue 1
  • DOI: 10.1186/s40323-017-0093-0

Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods
journal, January 2011

  • Janssen, Bärbel; Kanschat, Guido
  • SIAM Journal on Scientific Computing, Vol. 33, Issue 4
  • DOI: 10.1137/090778523

Algorithm 755; ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
journal, June 1996

  • Griewank, Andreas; Juedes, David; Utke, Jean
  • ACM Transactions on Mathematical Software, Vol. 22, Issue 2
  • DOI: 10.1145/229473.229474

Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
journal, June 2004

  • Davis, Timothy A.
  • ACM Transactions on Mathematical Software, Vol. 30, Issue 2
  • DOI: 10.1145/992200.992206

NetCDF: an interface for scientific data access
journal, July 1990

  • Rew, R.; Davis, G.
  • IEEE Computer Graphics and Applications, Vol. 10, Issue 4
  • DOI: 10.1109/38.56302

deal2lkit: A toolkit library for high performance programming in deal.II
journal, January 2018


An overview of the Trilinos project
journal, September 2005

  • Heroux, Michael A.; Phipps, Eric T.; Salinger, Andrew G.
  • ACM Transactions on Mathematical Software, Vol. 31, Issue 3
  • DOI: 10.1145/1089014.1089021

p4est : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
journal, January 2011

  • Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
  • SIAM Journal on Scientific Computing, Vol. 33, Issue 3
  • DOI: 10.1137/100791634

Analysis of some finite elements for the Stokes problem
journal, January 1985


Multilevel methods for discontinuous Galerkin FEM on locally refined meshes
journal, November 2004


A generic interface for parallel cell-based finite element operator application
journal, June 2012


A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
journal, January 2001

  • Amestoy, Patrick R.; Duff, Iain S.; L'Excellent, Jean-Yves
  • SIAM Journal on Matrix Analysis and Applications, Vol. 23, Issue 1
  • DOI: 10.1137/S0895479899358194

Hybrid scheduling for the parallel solution of linear systems
journal, February 2006

  • Amestoy, Patrick R.; Guermouche, Abdou; L’Excellent, Jean-Yves
  • Parallel Computing, Vol. 32, Issue 2
  • DOI: 10.1016/j.parco.2005.07.004

The deal.II library, Version 9.0
journal, December 2018

  • Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang
  • Journal of Numerical Mathematics, Vol. 26, Issue 4
  • DOI: 10.1515/jnma-2018-0054

LinearOperator—A generic, high-level expression syntax for linear algebra
journal, July 2016

  • Maier, Matthias; Bardelloni, Mauro; Heltai, Luca
  • Computers & Mathematics with Applications, Vol. 72, Issue 1
  • DOI: 10.1016/j.camwa.2016.04.024

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
journal, September 2005

  • Hindmarsh, Alan C.; Brown, Peter N.; Grant, Keith E.
  • ACM Transactions on Mathematical Software, Vol. 31, Issue 3
  • DOI: 10.1145/1089014.1089020

Multifrontal parallel distributed symmetric and unsymmetric solvers
journal, April 2000

  • Amestoy, P. R.; Duff, I. S.; L'Excellent, J. -Y.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 184, Issue 2-4
  • DOI: 10.1016/S0045-7825(99)00242-X

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods
journal, July 2018


Multilevel methods for discontinuous Galerkin FEM on locally refined meshes
journal, November 2004


ARPACK Users' Guide
book, January 1998


Algorithms and data structures for massively parallel generic adaptive finite element codes
journal, December 2011

  • Bangerth, Wolfgang; Burstedde, Carsten; Heister, Timo
  • ACM Transactions on Mathematical Software, Vol. 38, Issue 2
  • DOI: 10.1145/2049673.2049678

WorkStream -- A Design Pattern for Multicore-Enabled Finite Element Computations
journal, August 2016

  • Turcksin, Bruno; Kronbichler, Martin; Bangerth, Wolfgang
  • ACM Transactions on Mathematical Software, Vol. 43, Issue 1
  • DOI: 10.1145/2851488

Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors
journal, May 2019

  • Kronbichler, Martin; Ljungkvist, Karl
  • ACM Transactions on Parallel Computing, Vol. 6, Issue 1
  • DOI: 10.1145/3322813

deal.II -- a General Purpose Object Oriented Finite Element Library
text, January 2006


Fast matrix-free evaluation of discontinuous Galerkin finite element operators
text, January 2017


Works referencing / citing this record:

MoFEM: An open source, parallel finite element library
journal, January 2020

  • Kaczmarczyk, Łukasz; Ullah, Zahur; Lewandowski, Karol
  • Journal of Open Source Software, Vol. 5, Issue 45
  • DOI: 10.21105/joss.01441

Open-Source Software for Electromagnetic Scattering Simulation: The Case of Antenna Design
journal, December 2019


Construction of Arbitrary Order Finite Element Degree-of-Freedom Maps on Polygonal and Polyhedral Cell Meshes
journalarticle, January 2022

  • Scroggs, Mw; Dokken, Js; Richardson, Cn
  • Association for Computing Machinery (ACM)
  • DOI: 10.17863/cam.82580

Ginkgo -- A Math Library designed for Platform Portability
preprint, January 2020