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List of works by Douglas N. Arnold

A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate

A new mixed formulation for elasticity

A spline-trigonometric Galerkin method and an exponentially convergent boundary integral method

A stable finite element for the stokes equations

article published in 1984

A superconvergent finite element method for the Korteweg-de\thinspace Vries equation

Asymptotic Estimates of Hierarchical Modeling

article

Defferential Complexes and Stability of Finite Element Methods II: The Elasticity Complex

Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex

Discontinuous Galerkin Methods for Elliptic Problems

Effective Confining Potential of Quantum States in Disordered Media

scientific article published on 5 February 2016

Encyclopedia of Applied and Computational Mathematics

Finite element differential forms on cubical meshes

Finite element exterior calculus, homological techniques, and applications

Finite element exterior calculus: from Hodge theory to numerical stability

Finite element methods: Principles for their selection

Locally Adapted Tetrahedral Meshes Using Bisection

Locking-free finite element methods for shells

Manual Segmentation of MS Cortical Lesions Using MRI: A Comparison of 3 MRI Reading Protocols.

scientific article published on 19 May 2016

Mixed Methods for Elastodynamics with Weak Symmetry

NONCONFORMING TETRAHEDRAL MIXED FINITE ELEMENTS FOR ELASTICITY

On the asymptotic convergence of collocation methods

On the consistency of the combinatorial codifferential

PEERS: A new mixed finite element for plane elasticity

Spaces of Finite Element Differential Forms

Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable

article published in 1981

Superconvergence of the galerkin approximation of a quasilinear parabolic equation in a single space variable

Tetrahedral Bisection and Adaptive Finite Elements

The Boundary Layer for the Reissner–Mindlin Plate Model

The delta-trigonometric method using the single-layer potential representation

The partial selective reduced integration method and applications to shell problems

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

article

Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials