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Douglas N. Arnold

Orcid: 0000-0002-0805-7672

Affiliations:
  • University of Minnesota, Department of Mathematics, Minneapolis, USA


According to our database1, Douglas N. Arnold authored at least 24 papers between 1997 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Links

Online presence:

On csauthors.net:

Bibliography

2021
Complexes from Complexes.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Kaibo Hu
Found. Comput. Math., 2021

Local L<sup>2</sup>-bounded commuting projections in FEEC.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Johnny Guzmán
CoRR, 2021

2020
The Hellan-Herrmann-Johnson Method with Curved Elements.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Shawn W. Walker
SIAM J. Numer. Anal., 2020

2019
Computing Spectra without Solving Eigenvalue Problems.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Guy David
,
Marcel Filoche
,
David Jerison
,
Svitlana Mayboroda
SIAM J. Sci. Comput., 2019

2017
Finite element exterior calculus with lower-order terms.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Lizao Li
Math. Comput., 2017

2015
Finite element differential forms on curvilinear cubic meshes and their approximation properties.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Daniele Boffi
,
Francesca Bonizzoni
Numerische Mathematik, 2015

Mixed finite elements for elasticity on quadrilateral meshes.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Gerard Awanou
,
Weifeng Qiu
Adv. Comput. Math., 2015

2014
Mixed Methods for Elastodynamics with Weak Symmetry.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Jeonghun J. Lee
SIAM J. Numer. Anal., 2014

Finite element differential forms on cubical meshes.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Gerard Awanou
Math. Comput., 2014

2012
Mathematicians take a stand
[BibTeX]
[DOI]
Douglas N. Arnold
,
Henry Cohn
CoRR, 2012

2011
The Serendipity Family of Finite Elements.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Gerard Awanou
Found. Comput. Math., 2011

2010
Nefarious Numbers
[BibTeX]
[DOI]
Douglas N. Arnold
,
Kristine K. Fowler
CoRR, 2010

2008
Finite elements for symmetric tensors in three dimensions.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Gerard Awanou
,
Ragnar Winther
Math. Comput., 2008

2007
Mixed finite element methods for linear elasticity with weakly imposed symmetry.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Richard S. Falk
,
Ragnar Winther
Math. Comput., 2007

2005
Quadrilateral H(div) Finite Elements.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Daniele Boffi
,
Richard S. Falk
SIAM J. Numer. Anal., 2005

A Family of Discontinuous Galerkin Finite Elements for the Reissner-Mindlin Plate.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Franco Brezzi
,
L. Donatella Marini
J. Sci. Comput., 2005

2002
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Franco Brezzi
,
Bernardo Cockburn
,
L. Donatella Marini
SIAM J. Numer. Anal., 2002

Mixed finite elements for elasticity.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Ragnar Winther
Numerische Mathematik, 2002

Approximation by quadrilateral finite elements.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Daniele Boffi
,
Richard S. Falk
Math. Comput., 2002

2000
Locally Adapted Tetrahedral Meshes Using Bisection.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Arup Mukherjee
,
Luc Pouly
SIAM J. Sci. Comput., 2000

Multigrid in H (div) and H (curl).
[BibTeX]
[DOI]
Douglas N. Arnold
,
Richard S. Falk
,
Ragnar Winther
Numerische Mathematik, 2000

1997
Preconditioning in H<sup>div</sup> and applications.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Richard S. Falk
,
Ragnar Winther
Math. Comput., 1997

Locking-free finite element methods for shells.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Franco Brezzi
Math. Comput., 1997

Interior estimates for a low order finite element method for the Reissner-Mindlin plate model.
[BibTeX]
[DOI]
Douglas N. Arnold
,
Xiaobo Liu
Adv. Comput. Math., 1997


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