Douglas N. Arnold
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American mathematician
Douglas N. Arnold's AcademicInfluence.com Rankings
Douglas N. Arnoldmathematics Degrees
Mathematics
#2359
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#3667
Historical Rank
#939
USA Rank
Measure Theory
#1407
World Rank
#1766
Historical Rank
#486
USA Rank
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Mathematics
Douglas N. Arnold's Degrees
- PhD Mathematics University of Chicago
- Bachelors Mathematics Princeton University
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Why Is Douglas N. Arnold Influential?
(Suggest an Edit or Addition)According to Wikipedia, Douglas Norman "Doug" Arnold is a mathematician whose research focuses on the numerical analysis of partial differential equations with applications in mechanics and other fields in physics. , he is McKnight Presidential Professor of Mathematics at the University of Minnesota.
Douglas N. Arnold's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (2001) (3263)
- An Interior Penalty Finite Element Method with Discontinuous Elements (1982) (1624)
- A stable finite element for the stokes equations (1984) (1145)
- Finite element exterior calculus, homological techniques, and applications (2006) (934)
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates (1985) (893)
- Mathematical elasticity, volume I: Three-dimensional elasticity (1989) (801)
- Finite element exterior calculus: From hodge theory to numerical stability (2009) (566)
- Multigrid in H (div) and H (curl) (2000) (407)
- Mixed finite elements for elasticity (2002) (375)
- PEERS: A new mixed finite element for plane elasticity (1984) (371)
- Computer Solution of Ordinary Differential Equations. (1981) (365)
- Mixed finite element methods for elliptic problems (1990) (305)
- A uniformly accurate finite element method for the Reissner-Mindlin plate (1989) (300)
- Discontinuous Galerkin Methods for Elliptic Problems (2000) (281)
- Mixed finite element methods for linear elasticity with weakly imposed symmetry (2007) (278)
- Approximation by quadrilateral finite elements (2000) (255)
- Finite Element Exterior Calculus (2018) (254)
- A family of higher order mixed finite element methods for plane elasticity (1984) (253)
- Quadrilateral H(div) Finite Elements (2004) (229)
- Locally Adapted Tetrahedral Meshes Using Bisection (2000) (216)
- On the asymptotic convergence of collocation methods (1983) (208)
- Finite elements for symmetric tensors in three dimensions (2007) (177)
- Discretization by finite elements of a model parameter dependent problem (1981) (166)
- The convergence of spline collocation for strongly elliptic equations on curves (1985) (152)
- The Serendipity Family of Finite Elements (2011) (147)
- Quadratic velocity/linear pressure Stokes elements (1992) (146)
- Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model (1996) (126)
- Regular Inversion of the Divergence Operator with Dirichlet Boundary Conditions on a Polygon. (1987) (126)
- The boundary layer for the reissner-mindlin plate model (1990) (112)
- NONCONFORMING MIXED ELEMENTS FOR ELASTICITY (2003) (112)
- A new mixed formulation for elasticity (1988) (110)
- Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable (1981) (109)
- Differential complexes and numerical stability (2002) (97)
- RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY (2005) (97)
- A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate (2005) (94)
- Geometric decompositions and local bases for spaces of finite element differential forms (2008) (88)
- Locking-free finite element methods for shells (1997) (87)
- Numerical Relativity (2002) (86)
- Differential complexes and stability of finite element methods. I. The de Rham complex (2006) (84)
- Effective Confining Potential of Quantum States in Disordered Media. (2015) (81)
- Periodic Table of the Finite Elements (2014) (79)
- Preconditioning in Hdiv and applications (1997) (79)
- Edge effects in the Reissner-Mindlin plate theory (1989) (72)
- Preconditioning discrete approximations of the Reissner-Mindlin plate model (1997) (70)
- Compatible spatial discretizations (2006) (69)
- Defferential Complexes and Stability of Finite Element Methods II: The Elasticity Complex (2006) (69)
- Finite element differential forms on cubical meshes (2012) (67)
- Locking-free Reissner-Mindlin elements without reduced integration (2007) (64)
- A spline-trigonometric Galerkin method and an exponentially convergent boundary integral method (1983) (59)
- Nefarious Numbers (2010) (58)
- Some New Elements for the Reissner{Mindlin Plate Model (1993) (57)
- On the Range of Applicability of the Reissner–Mindlin and Kirchhoff–Love Plate Bending Models (2002) (56)
- Derivation and Justification of Plate Models by Variational Methods (2000) (54)
- Finite element differential forms on curvilinear cubic meshes and their approximation properties (2012) (52)
- Encyclopedia of Applied and Computational Mathematics (2016) (48)
- Local error estimates for finite element discretization of the Stokes equations (1995) (47)
- Multiscale Modeling and Simulation in Science (2009) (47)
- Localization of eigenfunctions via an effective potential (2017) (46)
- Computing Spectra without Solving Eigenvalue Problems (2017) (43)
- Möbius transformations revealed (2008) (42)
- Complexes from Complexes (2020) (42)
- Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials (1987) (41)
- Spaces of Finite Element Differential Forms (2012) (39)
- Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions (2011) (38)
- On the Asymptotic Convergence of Spline Collocation Methods for Partial Differential Equations (1984) (37)
- Mixed Methods for Elastodynamics with Weak Symmetry (2013) (37)
- Finite element approximation on quadrilateral meshes (2001) (36)
- COMPUTER-AIDED INSTRUCTION (2006) (34)
- NONCONFORMING TETRAHEDRAL MIXED FINITE ELEMENTS FOR ELASTICITY (2012) (34)
- Analysis of a Linear–Linear Finite Element for the Reissner–Mindlin Plate Model (1997) (32)
- Mixed Finite Elements for Elasticity in the Stress-Displacement Formulation (2002) (31)
- Mixed finite elements for elasticity on quadrilateral meshes (2013) (28)
- Finite Element Methods: Principles for Their Selection. (1984) (28)
- Stability, consistency, and convergence of numerical discretizations (2015) (28)
- On nonconforming linear-constant elements for some variants of the Stokes equations (1993) (24)
- A superconvergent finite element method for the Korteweg-de Vries equation (1982) (24)
- Collocation Versus Galerkin Procedures for Boundary Integral Methods (1982) (21)
- The delta-trigonometric method using the single-layer potential representation (1988) (17)
- Preconditioning in \emph{\textbf{H}}$(\operatorname{div})$ and applications (1997) (16)
- The partial selective reduced integration method and applications to shell problems (1997) (15)
- A Uniformly Accurate Finite Element Method for Mindlin-Reissner Plate (1987) (15)
- MULTIGRID PRECONDITIONING IN H(div) ON NON-CONVEX POLYGONS* (2007) (14)
- Finite element exterior calculus for parabolic problems (2012) (14)
- The Hellan-Herrmann-Johnson method with curved elements (2019) (13)
- Multigrid inH(div) andH(curl ) (2000) (12)
- Interior estimates for a low order finite element method for the Reissner–Mindlin plate model (1997) (12)
- ASYMPTOTIC ESTIMATES OF HIERARCHICAL MODELING (2003) (11)
- Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations (2006) (10)
- Adaptive Finite Elements and Colliding Black Holes (1997) (10)
- COERCIVITY OF THE SINGLE LAYER HEAT POTENTIAL by Douglas N. Arnold and Patrick J. Noon (1989) (10)
- Numerical Analysis of Multiscale Computations: Proceedings of a Winter Workshop at the Banff International Research Station 2009 (2011) (9)
- Mathematicians take a stand (2012) (9)
- INNOVATIVE FINITE ELEMENT METHODS FOR PLATES (2001) (9)
- Finite element exterior calculus with lower-order terms (2015) (9)
- BOUNDARY INTEGRAL EQUATIONS OF THE FIRST KIND FOR THE HEAT EQUATION (2007) (8)
- Superconvergence of the galerkin approximation of a quasilinear parabolic equation in a single space variable (1979) (8)
- New first-order formulation for the Einstein equations (2002) (7)
- Tetrahedral Bisection and Adaptive Finite Elements (1999) (7)
- Local L2-bounded commuting projections in FEEC (2021) (6)
- Remarks on Quadrilateral Reissner-Mindlin Plate Elements (2002) (6)
- Stability of Lagrange elements for the mixed Laplacian (2009) (6)
- ASYMPTOTICS AND HIERARCHICAL MODELING OF THIN DOMAINS (2005) (5)
- Sharp estimates for the integrated density of states in Anderson tight-binding models (2020) (4)
- On the consistency of the combinatorial codifferential (2012) (4)
- The flight of a golf ball (2012) (4)
- The SMAI Journal of Computational Mathematics (2015) (4)
- A new symmetric hyperbolic formulation for the Einstein equations (2002) (3)
- NUMERICAL PROBLEMS IN GENERAL RELATIVITY (2001) (3)
- Finite element differential forms (2007) (3)
- The Landscape Law for Tight Binding Hamiltonians (2021) (3)
- Tensor product finite element differential forms and their approximation properties (2012) (3)
- Selection of Finite Element Methods. (1981) (2)
- Numerische Mathematik Multigrid in H ( div ) and H ( curl ) ? (2000) (2)
- Finite element differential forms on curvilinear cubic meshes and their approximation properties (2014) (1)
- Mathematics and Sports: The Science of a Drive (2010) (1)
- Hidden landscape of an Anderson insulator (2019) (1)
- Challenges and responses in mathematical research publishing (2011) (1)
- Is the public hungry for math (2008) (1)
- Continuous Dependence on the Elastic Coefficients for a Class of Anisotropic Materials (1985) (1)
- REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (2010) (1)
- Mixed finite element mehtods and applications (2001) (0)
- Mixed finite elements for elasticity on quadrilateral meshes (2014) (0)
- and their approximation properties (2013) (0)
- N A ] 5 S ep 2 01 2 FINITE ELEMENT EXTERIOR CALCULUS FOR PARABOLIC PROBLEMS (2012) (0)
- Book Review: Superconvergence in Galerkin finite element methods@@@Book Review: Inverse problems in diffusion processes@@@Book Review: Lattice methods for multiple integration@@@Book Review: Integral transforms and their applications (1997) (0)
- Ic1 Optimal Execution in a General One-sided Limit Order Book Ic2 Stable Diffusions with Rank-based Interactions, and Models of Large Equity Markets Ic3 Simulation Schemes for Stopped Lvy Processes Ic5 Optimal Order Placement in Limit Order Books (0)
- 1 Preconditioning in H ( div ) and Applications (2001) (0)
- Finite Element Approximation Theory Using Families of Reference Elements (0)
- Hilbert Complexes: Analysis, Applications, and Discretizations (2023) (0)
- LOCALIZATION OF EIGENFUNCTIONS OF ELLIPTIC OPERATORS ( Research in teams ) (2015) (0)
- 9:45 – 10:05 Theoretical and Numerical Approximations of the Singularly Perturbed Convection-Diffusion Equations (2016) (0)
- Compatible Spatial Discretizations for Partial Differential Equations (2004) (0)
- Stability , Consistency , and Convergence of Numerical Discretizations Overview (2013) (0)
- “ Shareability Networks ” : A New Way to Model the Taxi-sharing Problem (2014) (0)
- Effective localization potential of quantum states in disordered media (2016) (0)
- A QUICK INTRODUCTION TO THE EINSTEIN EQUATIONS (2002) (0)
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