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Arnold, Douglas Norman

Author ID: arnold.douglas-n Recent zbMATH articles by "Arnold, Douglas Norman"
Published as: Arnold, Douglas N.; Arnold, D. N.; Arnold, Douglas
Homepage: https://www-users.cse.umn.edu/~arnold/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
all top 5

Serials

11 Mathematics of Computation
7 Numerische Mathematik
7 SIAM Journal on Numerical Analysis
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Computer Methods in Applied Mechanics and Engineering
3 Calcolo
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Notices of the American Mathematical Society
2 SIAM Journal on Mathematical Analysis
2 SIAM Journal on Scientific Computing
2 Advances in Computational Mathematics
2 La Gaceta de la Real Sociedad Matemática Española
2 Foundations of Computational Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 The Australian Mathematical Society Gazette
1 Transactions of the American Mathematical Society
1 Rendiconti. Scienze Matemàtiche e Applicazioni. A
1 Journal of Computational Mathematics
1 Japan Journal of Applied Mathematics
1 Journal of Scientific Computing
1 Journal of Integral Equations and Applications
1 Communications in Partial Differential Equations
1 Journal of Elasticity
1 Bulletin of the American Mathematical Society. New Series
1 Matemática Aplicada e Computacional
1 Communications in Numerical Methods in Engineering
1 Electronic Journal of Differential Equations (EJDE)
1 Computational and Applied Mathematics
1 European Mathematical Society Newsletter
1 Acta Numerica
1 Oberwolfach Reports
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Acta Numerica

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 6,908 times in 4,418 Documents Cited by Year
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
737
1982
A stable finite element for the Stokes equations. Zbl 0593.76039
Arnold, D. N.; Brezzi, F.; Fortin, M.
471
1984
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
431
2006
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078
Arnold, D. N.; Brezzi, F.
378
1985
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
261
2010
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
219
2002
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
203
1984
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
164
2007
A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066
Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P.
143
1984
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
143
1989
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
120
2000
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
116
2002
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
113
2005
Finite elements for symmetric tensors in three dimensions. Zbl 1285.74013
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
112
2008
Preconditioning in H \((\operatorname{div})\) and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
94
1997
Discretization by finite elements of a model parameter dependent problem. Zbl 0446.73066
Arnold, Douglas N.
83
1981
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
81
2000
Finite element exterior calculus. Zbl 1506.65001
Arnold, Douglas N.
79
2018
On the asymptotic convergence of collocation methods. Zbl 0541.65075
Arnold, Douglas N.; Wendland, Wolfgang L.
71
1983
The convergence of spline collocation for strongly elliptic equations on curves. Zbl 0592.65077
Arnold, Douglas N.; Wendland, Wolfgang L.
67
1985
The serendipity family of finite elements. Zbl 1218.65125
Arnold, Douglas N.; Awanou, Gerard
64
2011
Mixed finite element methods for elliptic problems. Zbl 0729.73198
Arnold, Douglas N.
61
1990
Nonconforming mixed elements for elasticity. Zbl 1057.74036
Arnold, Douglas N.; Winther, Ragnar
60
2003
Rectangular mixed finite elements for elasticity. Zbl 1077.74044
Arnold, Douglas N.; Awanou, Gerard
58
2005
Locally adapted tetrahedral meshes using bisection. Zbl 0973.65116
Arnold, Douglas N.; Mukherjee, Arup; Pouly, Luc
53
2000
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208
Arnold, Douglas N.; Scott, L. Ridgway; Vogelius, Michael
50
1988
Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062
Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar
50
1981
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
49
1988
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
47
1990
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
44
2009
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
42
2005
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
40
1996
Differential complexes and stability of finite element methods. I: The de Rham complex. Zbl 1119.65398
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
38
2006
Finite element differential forms on cubical meshes. Zbl 1297.65142
Arnold, Douglas N.; Awanou, Gerard
34
2014
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
32
2006
Localization of eigenfunctions via an effective potential. Zbl 1432.35061
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
32
2019
Differential complexes and numerical stability. Zbl 1023.65113
Arnold, Douglas N.
31
2002
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
30
2007
Finite element differential forms on curvilinear cubic meshes and their approximation properties. Zbl 1308.65193
Arnold, Douglas N.; Boffi, Daniele; Bonizzoni, Francesca
30
2015
Local error estimates for finite element discretizations of the Stokes equations. Zbl 0832.65117
Arnold, Douglas N.; Liu, Xiaobo
29
1995
A spline-trigonometric Galerkin method and an exponentially convergent boundary integral method. Zbl 0543.65087
Arnold, Douglas N.
29
1983
Locking-free finite element methods for shells. Zbl 0854.65095
Arnold, Douglas N.; Brezzi, Franco
28
1997
Computing spectra without solving eigenvalue problems. Zbl 1420.81009
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
25
2019
Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058
Arnold, Douglas N.; Brezzi, Franco
24
1993
Coercivity of the single layer heat potential. Zbl 0672.65092
Arnold, Douglas N.; Noon, Patrick J.
24
1989
On the range of applicability of the Reissner–Mindlin and Kirchhoff–Love plate bending models. Zbl 1089.74595
Arnold, Douglas N.; Madureira, Alexandre L.; Zhang, Sheng
24
2002
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
23
1987
Mixed methods for elastodynamics with weak symmetry. Zbl 1309.74033
Arnold, Douglas N.; Lee, Jeonghun J.
23
2014
On the asymptotic convergence of spline collocation methods for partial differential equations. Zbl 0542.65069
Arnold, Douglas N.; Saranen, Jukka
22
1984
Nonconforming tetrahedral mixed finite elements for elasticity. Zbl 1433.74097
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
21
2014
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
20
1997
Mixed finite elements for elasticity on quadrilateral meshes. Zbl 1320.74096
Arnold, Douglas N.; Awanou, Gerard; Qiu, Weifeng
20
2015
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
18
2006
Complexes from complexes. Zbl 1520.58011
Arnold, Douglas N.; Hu, Kaibo
18
2021
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
18
2012
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Zbl 0869.73068
Arnold, Douglas N.; Falk, Richard S.
17
1997
Spaces of finite element differential forms. Zbl 1290.58003
Arnold, Douglas N.
17
2013
A superconvergent finite element method for the Korteweg-de Vries equation. Zbl 0487.76028
Arnold, Douglas N.; Winther, Ragnar
16
1982
Derivation and justification of plate models by variational methods. Zbl 0958.74033
Alessandrini, Stephen M.; Arnold, Douglas N.; Falk, Richard S.; Madureira, Alexandre L.
14
1999
Finite element approximation on quadrilateral meshes. Zbl 0999.76073
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.; Gastaldi, Lucia
13
2001
Innovative finite element methods for plates. Zbl 0757.73048
Arnold, Douglas N.
10
1991
Möbius transformations revealed. Zbl 1200.30036
Arnold, Douglas N.; Rogness, Jonathan
10
2008
The Hellan-Herrmann-Johnson method with curved elements. Zbl 1451.65182
Arnold, Douglas N.; Walker, Shawn W.
10
2020
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
9
1998
Finite element methods: Principles for their selection. Zbl 0513.73081
Arnold, D. N.; Babuška, Ivo; Osborn, J.
9
1984
On nonconforming linear-constant elements for some variants of the Stokes equations. Zbl 0923.76128
Arnold, Douglas N.
8
1994
Mixed finite elements for elasticity in the stress-displacement formulation. Zbl 1138.74388
Arnold, Douglas N.; Winther, Ragnar
8
2003
Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094
Arnold, D. N.; Douglas, Jim jun.
7
1979
The delta-trigonometric method using the single-layer potential representation. Zbl 0689.65067
Cheng, R. S.-C.; Arnold, D. N.
6
1988
Interior estimates for a low-order finite element method for the Reissner-Mindlin plate model. Zbl 1066.74585
Arnold, Douglas N.; Liu, Xiaobo
6
1997
Collocation versus Galerkin procedures for boundary integral methods. Zbl 0521.65092
Arnold, D. N.; Wendland, W. L.
6
1982
Asymptotic estimates of hierarchical modeling. Zbl 1046.35024
Arnold, Douglas N.; Madureira, Alexandre L.
5
2003
Stability of Lagrange elements for the mixed Laplacian. Zbl 1181.65132
Arnold, Douglas N.; Rognes, Marie E.
4
2009
Finite element exterior calculus for parabolic problems. Zbl 1362.65100
Arnold, Douglas N.; Chen, Hongtao
4
2017
Local \(L^2\)-bounded commuting projections in FEEC. Zbl 1483.65175
Arnold, Douglas; Guzmán, Johnny
4
2021
Boundary conditions for the Einstein-Christoffel formulation of Einstein’s equations. Zbl 1115.35134
Arnold, Douglas N.; Tarfulea, Nicolae
3
2007
Finite element exterior calculus with lower-order terms. Zbl 1364.65236
Arnold, Douglas N.; Li, Lizao
3
2017
The landscape law for tight binding Hamiltonians. Zbl 1511.35109
Arnold, Douglas; Filoche, Marcel; Mayboroda, Svitlana; Wang, Wei; Zhang, Shiwen
3
2022
Nefarious numbers. Zbl 1223.01042
Arnold, Douglas N.; Fowler, Kristine K.
2
2011
On the consistency of the combinatorial codifferential. Zbl 1298.58003
Arnold, Douglas N.; Falk, Richard S.; Guzmán, Johnny; Tsogtgerel, Gantumur
2
2014
Adaptive finite elements and colliding black holes. Zbl 0902.65080
Arnold, D. N.; Mukherjee, A.; Pouly, L.
1
1998
Numerical problems in general relativity. Zbl 0976.83002
Arnold, Douglas N.
1
2000
The landscape law for tight binding Hamiltonians. Zbl 1511.35109
Arnold, Douglas; Filoche, Marcel; Mayboroda, Svitlana; Wang, Wei; Zhang, Shiwen
3
2022
Complexes from complexes. Zbl 1520.58011
Arnold, Douglas N.; Hu, Kaibo
18
2021
Local \(L^2\)-bounded commuting projections in FEEC. Zbl 1483.65175
Arnold, Douglas; Guzmán, Johnny
4
2021
The Hellan-Herrmann-Johnson method with curved elements. Zbl 1451.65182
Arnold, Douglas N.; Walker, Shawn W.
10
2020
Localization of eigenfunctions via an effective potential. Zbl 1432.35061
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
32
2019
Computing spectra without solving eigenvalue problems. Zbl 1420.81009
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
25
2019
Finite element exterior calculus. Zbl 1506.65001
Arnold, Douglas N.
79
2018
Finite element exterior calculus for parabolic problems. Zbl 1362.65100
Arnold, Douglas N.; Chen, Hongtao
4
2017
Finite element exterior calculus with lower-order terms. Zbl 1364.65236
Arnold, Douglas N.; Li, Lizao
3
2017
Finite element differential forms on curvilinear cubic meshes and their approximation properties. Zbl 1308.65193
Arnold, Douglas N.; Boffi, Daniele; Bonizzoni, Francesca
30
2015
Mixed finite elements for elasticity on quadrilateral meshes. Zbl 1320.74096
Arnold, Douglas N.; Awanou, Gerard; Qiu, Weifeng
20
2015
Finite element differential forms on cubical meshes. Zbl 1297.65142
Arnold, Douglas N.; Awanou, Gerard
34
2014
Mixed methods for elastodynamics with weak symmetry. Zbl 1309.74033
Arnold, Douglas N.; Lee, Jeonghun J.
23
2014
Nonconforming tetrahedral mixed finite elements for elasticity. Zbl 1433.74097
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
21
2014
On the consistency of the combinatorial codifferential. Zbl 1298.58003
Arnold, Douglas N.; Falk, Richard S.; Guzmán, Johnny; Tsogtgerel, Gantumur
2
2014
Spaces of finite element differential forms. Zbl 1290.58003
Arnold, Douglas N.
17
2013
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
18
2012
The serendipity family of finite elements. Zbl 1218.65125
Arnold, Douglas N.; Awanou, Gerard
64
2011
Nefarious numbers. Zbl 1223.01042
Arnold, Douglas N.; Fowler, Kristine K.
2
2011
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
261
2010
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
44
2009
Stability of Lagrange elements for the mixed Laplacian. Zbl 1181.65132
Arnold, Douglas N.; Rognes, Marie E.
4
2009
Finite elements for symmetric tensors in three dimensions. Zbl 1285.74013
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
112
2008
Möbius transformations revealed. Zbl 1200.30036
Arnold, Douglas N.; Rogness, Jonathan
10
2008
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
164
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
30
2007
Boundary conditions for the Einstein-Christoffel formulation of Einstein’s equations. Zbl 1115.35134
Arnold, Douglas N.; Tarfulea, Nicolae
3
2007
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
431
2006
Differential complexes and stability of finite element methods. I: The de Rham complex. Zbl 1119.65398
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
38
2006
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
32
2006
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
18
2006
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
113
2005
Rectangular mixed finite elements for elasticity. Zbl 1077.74044
Arnold, Douglas N.; Awanou, Gerard
58
2005
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
42
2005
Nonconforming mixed elements for elasticity. Zbl 1057.74036
Arnold, Douglas N.; Winther, Ragnar
60
2003
Mixed finite elements for elasticity in the stress-displacement formulation. Zbl 1138.74388
Arnold, Douglas N.; Winther, Ragnar
8
2003
Asymptotic estimates of hierarchical modeling. Zbl 1046.35024
Arnold, Douglas N.; Madureira, Alexandre L.
5
2003
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
219
2002
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
116
2002
Differential complexes and numerical stability. Zbl 1023.65113
Arnold, Douglas N.
31
2002
On the range of applicability of the Reissner–Mindlin and Kirchhoff–Love plate bending models. Zbl 1089.74595
Arnold, Douglas N.; Madureira, Alexandre L.; Zhang, Sheng
24
2002
Finite element approximation on quadrilateral meshes. Zbl 0999.76073
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.; Gastaldi, Lucia
13
2001
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
120
2000
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
81
2000
Locally adapted tetrahedral meshes using bisection. Zbl 0973.65116
Arnold, Douglas N.; Mukherjee, Arup; Pouly, Luc
53
2000
Numerical problems in general relativity. Zbl 0976.83002
Arnold, Douglas N.
1
2000
Derivation and justification of plate models by variational methods. Zbl 0958.74033
Alessandrini, Stephen M.; Arnold, Douglas N.; Falk, Richard S.; Madureira, Alexandre L.
14
1999
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
9
1998
Adaptive finite elements and colliding black holes. Zbl 0902.65080
Arnold, D. N.; Mukherjee, A.; Pouly, L.
1
1998
Preconditioning in H \((\operatorname{div})\) and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
94
1997
Locking-free finite element methods for shells. Zbl 0854.65095
Arnold, Douglas N.; Brezzi, Franco
28
1997
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
20
1997
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Zbl 0869.73068
Arnold, Douglas N.; Falk, Richard S.
17
1997
Interior estimates for a low-order finite element method for the Reissner-Mindlin plate model. Zbl 1066.74585
Arnold, Douglas N.; Liu, Xiaobo
6
1997
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
40
1996
Local error estimates for finite element discretizations of the Stokes equations. Zbl 0832.65117
Arnold, Douglas N.; Liu, Xiaobo
29
1995
On nonconforming linear-constant elements for some variants of the Stokes equations. Zbl 0923.76128
Arnold, Douglas N.
8
1994
Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058
Arnold, Douglas N.; Brezzi, Franco
24
1993
Innovative finite element methods for plates. Zbl 0757.73048
Arnold, Douglas N.
10
1991
Mixed finite element methods for elliptic problems. Zbl 0729.73198
Arnold, Douglas N.
61
1990
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
47
1990
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
143
1989
Coercivity of the single layer heat potential. Zbl 0672.65092
Arnold, Douglas N.; Noon, Patrick J.
24
1989
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208
Arnold, Douglas N.; Scott, L. Ridgway; Vogelius, Michael
50
1988
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
49
1988
The delta-trigonometric method using the single-layer potential representation. Zbl 0689.65067
Cheng, R. S.-C.; Arnold, D. N.
6
1988
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
23
1987
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078
Arnold, D. N.; Brezzi, F.
378
1985
The convergence of spline collocation for strongly elliptic equations on curves. Zbl 0592.65077
Arnold, Douglas N.; Wendland, Wolfgang L.
67
1985
A stable finite element for the Stokes equations. Zbl 0593.76039
Arnold, D. N.; Brezzi, F.; Fortin, M.
471
1984
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
203
1984
A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066
Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P.
143
1984
On the asymptotic convergence of spline collocation methods for partial differential equations. Zbl 0542.65069
Arnold, Douglas N.; Saranen, Jukka
22
1984
Finite element methods: Principles for their selection. Zbl 0513.73081
Arnold, D. N.; Babuška, Ivo; Osborn, J.
9
1984
On the asymptotic convergence of collocation methods. Zbl 0541.65075
Arnold, Douglas N.; Wendland, Wolfgang L.
71
1983
A spline-trigonometric Galerkin method and an exponentially convergent boundary integral method. Zbl 0543.65087
Arnold, Douglas N.
29
1983
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
737
1982
A superconvergent finite element method for the Korteweg-de Vries equation. Zbl 0487.76028
Arnold, Douglas N.; Winther, Ragnar
16
1982
Collocation versus Galerkin procedures for boundary integral methods. Zbl 0521.65092
Arnold, D. N.; Wendland, W. L.
6
1982
Discretization by finite elements of a model parameter dependent problem. Zbl 0446.73066
Arnold, Douglas N.
83
1981
Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062
Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar
50
1981
Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094
Arnold, D. N.; Douglas, Jim jun.
7
1979
all top 5

Cited by 4,637 Authors

56 Cockburn, Bernardo
53 Gatica, Gabriel N.
42 Ye, Xiu
42 Zhang, Shangyou
41 Antonietti, Paola Francesca
35 Brezzi, Franco
34 Beirão da Veiga, Lourenço
33 Hughes, Thomas J. R.
31 Carstensen, Carsten
31 Di Pietro, Daniele Antonio
31 Hu, Jun
31 Ruiz-Baier, Ricardo
30 Arnold, Douglas Norman
30 Schöberl, Joachim
30 Zhang, Zhimin
29 Sayas, Francisco-Javier
29 Xu, Jinchao
28 Huang, Xuehai
28 Marini, Luisa Donatella
27 Bassi, Francesco
27 Lovadina, Carlo
27 Schötzau, Dominik
26 Chen, Zhangxin
26 Guzmán, Johnny
26 Meddahi, Salim
26 Stenberg, Rolf
25 Houston, Paul
25 Wheeler, Mary Fanett
25 Winther, Ragnar
24 Brenner, Susanne Cecelia
24 He, Yinnian
24 Hiptmair, Ralf
24 Xie, Xiaoping
23 Chen, Long
23 Mu, Lin
23 Rivière, Beatrice M.
23 Yotov, Ivan
23 Zikatanov, Ludmil T.
22 Franca, Leopoldo Luis Cabo Penna
22 Park, Eun-Jae
21 Giani, Stefano
21 Wang, Junping
20 Huang, Yunqing
19 Pani, Amiya Kumar
19 Scovazzi, Guglielmo
19 Wang, Fei
18 Chen, Shaochun
18 Christiansen, Snorre Harald
18 Crivellini, Andrea
18 Ern, Alexandre
18 Evans, John A.
18 Gerritsma, Marc I.
18 Gopalakrishnan, Jay
18 Hu, Kaibo
18 Hu, Xiaozhe
18 Marquez-Duran, Antonio M.
18 Neilan, Michael
18 Nordström, Jan
18 Perugia, Ilaria
18 Vassilevski, Panayot Spirov
18 Vohralík, Martin
17 Bazilevs, Yuri
17 Kanschat, Guido
17 Larson, Mats G.
17 Lee, Jeonghun J.
17 Loula, Abimael Fernando Dourado
17 Qiu, Weifeng
17 Schwab, Christoph
17 Shang, Yueqiang
16 Ainsworth, Mark
16 Boffi, Daniele
16 Gudi, Thirupathi
16 Kwak, Do Young
16 Rapetti, Francesca
16 Reddy, B. Dayanand
16 Russo, Alessandro
16 Wohlmuth, Barbara I.
15 Badia, Santiago
15 Botti, Lorenzo
15 Calo, Victor Manuel
15 Demkowicz, Leszek F.
15 Devloo, Philippe Remy Bernard
15 Dolejší, Vít
15 Falk, Richard S.
15 Kraus, Johannes K.
15 Nordbotten, Jan Martin
15 Oyarzúa, Ricardo
15 Shi, Zhongci
15 Sung, Li-Yeng
14 Buffa, Annalisa
14 Colombo, Alessandro G.
14 Duan, Huoyuan
14 Gomes, Sônia Maria
14 Han, Weimin
14 Karasözen, Bülent
14 Lamichhane, Bishnu Prasad
14 Mazzieri, Ilario
14 Nguyen, Ngoc Cuong
14 Sacco, Riccardo
14 van der Vegt, Jaap J. W.
...and 4,537 more Authors
all top 5

Cited in 285 Serials

551 Computer Methods in Applied Mechanics and Engineering
364 Journal of Computational Physics
286 Journal of Scientific Computing
218 Computers & Mathematics with Applications
203 Journal of Computational and Applied Mathematics
196 Numerische Mathematik
192 Mathematics of Computation
127 Applied Numerical Mathematics
124 SIAM Journal on Scientific Computing
110 SIAM Journal on Numerical Analysis
106 Numerical Methods for Partial Differential Equations
105 International Journal for Numerical Methods in Engineering
86 Computers and Fluids
78 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
77 Applied Mathematics and Computation
69 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
60 Computational Mechanics
54 Advances in Computational Mathematics
42 Calcolo
36 Computational Geosciences
36 Computational Methods in Applied Mathematics
31 Advances in Applied Mathematics and Mechanics
29 Mathematics and Computers in Simulation
28 Numerical Algorithms
28 International Journal of Numerical Analysis and Modeling
26 International Journal for Numerical Methods in Fluids
26 RAIRO. Modélisation Mathématique et Analyse Numérique
26 Science China. Mathematics
23 Journal of Numerical Mathematics
22 Journal of Mathematical Analysis and Applications
22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 BIT
21 Applied Mathematics Letters
21 Foundations of Computational Mathematics
20 Applied Mathematical Modelling
20 Communications on Applied Mathematics and Computation
19 Numerical Linear Algebra with Applications
19 Engineering Analysis with Boundary Elements
19 Communications in Computational Physics
18 Communications in Numerical Methods in Engineering
17 Journal of Integral Equations and Applications
17 Japan Journal of Industrial and Applied Mathematics
17 Computational and Applied Mathematics
16 Applicable Analysis
16 Computer Physics Communications
15 Mathematical Methods in the Applied Sciences
15 International Journal of Computer Mathematics
15 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
15 International Journal of Computational Methods
14 SMAI Journal of Computational Mathematics
13 Numerical Functional Analysis and Optimization
12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
11 Applications of Mathematics
10 Computing
10 International Journal of Computational Fluid Dynamics
10 Archives of Computational Methods in Engineering
9 Acta Mechanica
9 Journal of Applied Mathematics and Computing
8 Integral Equations and Operator Theory
8 ETNA. Electronic Transactions on Numerical Analysis
8 European Journal of Mechanics. A. Solids
8 Communications in Nonlinear Science and Numerical Simulation
8 Acta Numerica
7 Journal of Computational Mathematics
7 Mathematical Problems in Engineering
7 Computing and Visualization in Science
7 Abstract and Applied Analysis
7 Discrete and Continuous Dynamical Systems. Series B
6 ACM Transactions on Mathematical Software
6 Journal of Elasticity
6 SIAM Review
6 Multiscale Modeling & Simulation
6 Oberwolfach Reports
6 Electronic Research Archive
6 Results in Applied Mathematics
5 Communications in Partial Differential Equations
5 Journal of Mathematical Sciences (New York)
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Journal of Applied Mathematics
5 Advances in Difference Equations
5 GEM - International Journal on Geomathematics
5 Journal of the Korean Society for Industrial and Applied Mathematics
5 East Asian Journal on Applied Mathematics
4 Archive for Rational Mechanics and Analysis
4 Journal of Mathematical Physics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Meccanica
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Applied Mathematics and Mechanics. (English Edition)
4 Computer Aided Geometric Design
4 Journal of Nonlinear Science
4 International Journal of Numerical Methods for Heat & Fluid Flow
4 Vietnam Journal of Mathematics
4 Engineering Computations
4 Boundary Value Problems
4 Discrete and Continuous Dynamical Systems. Series S
4 Advances in Mathematical Physics
4 Journal of Spectral Theory
4 S\(\vec{\text{e}}\)MA Journal
3 Inverse Problems
...and 185 more Serials
all top 5

Cited in 56 Fields

3,524 Numerical analysis (65-XX)
1,663 Partial differential equations (35-XX)
1,398 Fluid mechanics (76-XX)
1,070 Mechanics of deformable solids (74-XX)
214 Optics, electromagnetic theory (78-XX)
110 Global analysis, analysis on manifolds (58-XX)
108 Calculus of variations and optimal control; optimization (49-XX)
80 Geophysics (86-XX)
77 Integral equations (45-XX)
76 Statistical mechanics, structure of matter (82-XX)
58 Classical thermodynamics, heat transfer (80-XX)
56 Biology and other natural sciences (92-XX)
45 Operator theory (47-XX)
43 Approximations and expansions (41-XX)
38 Computer science (68-XX)
31 Potential theory (31-XX)
28 Differential geometry (53-XX)
28 Quantum theory (81-XX)
26 Ordinary differential equations (34-XX)
22 Functional analysis (46-XX)
19 Dynamical systems and ergodic theory (37-XX)
19 Probability theory and stochastic processes (60-XX)
14 Operations research, mathematical programming (90-XX)
14 Systems theory; control (93-XX)
12 Real functions (26-XX)
12 Mechanics of particles and systems (70-XX)
12 Relativity and gravitational theory (83-XX)
10 General and overarching topics; collections (00-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Combinatorics (05-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Convex and discrete geometry (52-XX)
9 Statistics (62-XX)
8 Algebraic topology (55-XX)
8 Information and communication theory, circuits (94-XX)
7 Functions of a complex variable (30-XX)
6 Algebraic geometry (14-XX)
6 Difference and functional equations (39-XX)
5 History and biography (01-XX)
4 Special functions (33-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Measure and integration (28-XX)
3 Astronomy and astrophysics (85-XX)
3 Mathematics education (97-XX)
2 Category theory; homological algebra (18-XX)
2 Integral transforms, operational calculus (44-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)

Citations by Year

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