Douglas N. Arnold

McKnight Presidential Professor of Mathematics
School of Mathematics, University of Minnesota

I am a mathematician and educator. My research mostly concerns numerical analysis, partial differential equations, mechanics, and the interplay between these fields. Much of my recent effort has been directed toward the development of the finite element exterior calculus. I am immediate past president of SIAM, the largest applied mathematics and computational science professional organization in the world, having served as president in 2009–10. From 2001 to 2008 I directed the IMA, the world's leading interdisciplinary mathematical research institute.

Research integrity • Nefarious Numbers
Short course on finite element exterior calculus
Mathematics That Swings (lecture on math and golf)
Möbius Transformations Revealed
(math video with 1.9M YouTube views)
IMA “From the Director” columns
Graphics for calculus•complex analysis

CBMS/NSF Conference on Finite Element Exterior Calculus
I will be giving an introduction to FEEC in 10 lectures, June 11-15, 2012 at ICERM in Providence, RI

11,868 researchers have taken a stand against Elsevier's publishing practices.
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During Spring 2012 I am teaching MATH 8446.

Selected research publications (complete list available here)

	• Finite element differential forms on cubical meshes 2012
	• Mathematicians take a stand (about the Elsevier boycott) 2012
	• Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions 2011
	• The serendipity family of finite elements 2010
	• Finite element exterior calculus: from Hodge theory to numerical stability 2010
	• Finite element exterior calculus, homological techniques and applications 2006
	“Any young (or not so young) mathematician who spends the time to master this paper will have tools that will be useful for his or her entire career.” — Math Reviews
	• Differential complexes and numerical stability 2002
	• Unified analysis of discontinuous Galerkin methods for elliptic problems 2002
	• Mixed finite elements for elasticity 2002
	• Multigrid in H(div) and H(curl) 2000
	• A uniformly accurate finite element method for the Reissner-Mindlin plate 1989
	• A stable finite element for the Stokes equations 1984
	• An interior penalty finite element method with discontinuous elements 1982

Updated April 11, 2012