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Title: The deal.II Library, Version 9.1

Journal Article · · Journal of Numerical Mathematics
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)

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

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE; National Science Foundation (NSF)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1560447
Journal Information:
Journal of Numerical Mathematics, Vol. 27, Issue 4; ISSN 1570-2820
Publisher:
de GruyterCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 88 works
Citation information provided by
Web of Science

References (29)

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
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
Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics journal December 2017
Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods journal January 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
NetCDF: an interface for scientific data access journal July 1990
deal2lkit: A toolkit library for high performance programming in deal.II journal January 2018
An overview of the Trilinos project journal September 2005
p4est : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees journal January 2011
Analysis of some finite elements for the Stokes problem journal January 1985
Resolving the sign conflict problem for hp–hexahedral Nédélec elements with application to eddy current problems journal March 2017
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
Hybrid scheduling for the parallel solution of linear systems journal February 2006
The deal.II library, Version 9.0 journal December 2018
LinearOperator—A generic, high-level expression syntax for linear algebra journal July 2016
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers journal September 2005
Multifrontal parallel distributed symmetric and unsymmetric solvers journal April 2000
ARPACK Users' Guide book January 1998
Algorithms and data structures for massively parallel generic adaptive finite element codes journal December 2011
WorkStream -- A Design Pattern for Multicore-Enabled Finite Element Computations journal August 2016
Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors journal May 2019
deal.II -- a General Purpose Object Oriented Finite Element Library text January 2006
A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers text January 2016
Fast matrix-free evaluation of discontinuous Galerkin finite element operators text January 2017

Cited By (6)

MoFEM: An open source, parallel finite element library journal January 2020
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
Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations preprint January 2019
Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow text January 2020
Ginkgo -- A Math Library designed for Platform Portability preprint January 2020

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