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Brenner, Susanne Cecelia

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 Author ID: brenner.susanne-c Published as: Brenner, S.; Brenner, S. C.; Brenner, Susanne; Brenner, Susanne C.; Brenner, Susanne Cecelia Homepage: https://www.math.lsu.edu/~brenner/ External Links: MGP · Wikidata · GND
 Documents Indexed: 136 Publications since 1989, including 5 Books
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Co-Authors

 38 single-authored 34 Sung, Liyeng 31 Sung, Li-Yeng 8 Gudi, Thirupathi 7 Cui, Jintao 7 Sung, Li-Yu 7 Zhang, Yi 6 Gedicke, Joscha 5 Davis, Christopher B. 5 Li, Fengyan 5 Neilan, Michael 5 Owens, Luke 4 Barker, Andrew T. 3 Oh, Duk-Soon 3 Park, Eunhee 3 Scott, Larkin Ridgway 3 Wang, Kening 2 Carstensen, Carsten 2 Diegel, Amanda E. 2 Li, Hengguang 2 Monk, Peter B. 2 Oh, Minah 2 Porwal, Kamana 2 Zhang, Hongchao 2 Zhao, Jie 1 Antonietti, Paola Francesca 1 Ayuso de Dios, Blanca 1 Ben Belgacem, Faker 1 Bjørstad, Petter Erling 1 Cai, Xiao-Chuan 1 Çeşmelioğlu, Ayçıl 1 Demkowicz, Leszek F. 1 Gander, Martin Jakob 1 Gu, Shiyuan 1 Guan, Qingguang 1 Halpern, Lawrence 1 He, Qingmi 1 Hoppe, Ronald H. W. 1 Kawecki, Ellya L. 1 Kim, Hyea Hyun 1 Klawonn, Axel 1 Kornhuber, Ralf 1 Leykekhman, Dmitriy 1 Liu, Sijing 1 Nan, Zhenqi 1 Park, Eun-Hyoung 1 Pollock, Sara 1 Rahman, Talal 1 Reiser, Armin 1 Rivière, Beatrice M. 1 Sarkis, Marcus V. 1 Schedensack, Mira 1 Sharma, Natasha S. 1 Sun, Jiguan 1 Sun, Jiguang 1 Szyld, Daniel B. 1 Tan, Zhiyu 1 Vexler, Boris 1 Wang, Zhuo 1 Widlund, Olof B. 1 Wollner, Winnifried 1 Wriggers, Peter 1 Xu, Yuesheng
all top 5

Serials

 16 Mathematics of Computation 12 Numerische Mathematik 12 SIAM Journal on Numerical Analysis 10 Journal of Scientific Computing 9 ETNA. Electronic Transactions on Numerical Analysis 7 Journal of Computational and Applied Mathematics 5 Computational Methods in Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Oberwolfach Reports 3 Numerical Functional Analysis and Optimization 3 Numerical Linear Algebra with Applications 3 Texts in Applied Mathematics 2 IMA Journal of Numerical Analysis 2 Calcolo 2 Applied Numerical Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Results in Applied Mathematics 1 Computers & Mathematics with Applications 1 Houston Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 BIT 1 SIAM Journal on Control and Optimization 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 East-West Journal of Numerical Mathematics 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 The ANZIAM Journal 1 Journal of Numerical Mathematics 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Computational Science and Engineering 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
all top 5

Fields

 128 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 26 Mechanics of deformable solids (74-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 11 Optics, electromagnetic theory (78-XX) 9 Fluid mechanics (76-XX) 6 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX)

Citations contained in zbMATH Open

121 Publications have been cited 4,253 times in 3,093 Documents Cited by Year
The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042
Brenner, Susanne C.; Scott, L. Ridgway
2008
The mathematical theory of finite element methods. Zbl 0804.65101
Brenner, Susanne C.; Scott, L. Ridgway
1994
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
2002
Poincaré–Friedrichs inequalities for piecewise $$H^{1}$$ functions. Zbl 1045.65100
Brenner, Susanne C.
2003
Korn’s inequalities for piecewise $$H^1$$ vector fields. Zbl 1055.65118
Brenner, Susanne C.
2004
$$C^0$$ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151
Brenner, Susanne C.; Sung, Li-Yeng
2005
Linear finite element methods for planar linear elasticity. Zbl 0766.73060
Brenner, Susanne C.; Sung, Li-Yeng
1992
Two-level additive Schwarz preconditioners for nonconforming finite element methods. Zbl 0859.65124
Brenner, Susanne C.
1996
$$\mathcal{C}^{0}$$ penalty methods for the fully nonlinear Monge-Ampère equation. Zbl 1228.65220
Brenner, Susanne C.; Gudi, Thirupathi; Neilan, Michael; Sung, Li-Yeng
2011
BDDC and FETI-DP without matrices or vectors. Zbl 1173.65363
Brenner, Susanne C.; Sung, Li-Yeng
2007
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2008
An optimal-order multigrid method for P1 nonconforming finite elements. Zbl 0664.65103
Brenner, Susanne C.
1989
Convergence of nonconforming multigrid methods without full elliptic regularity. Zbl 0912.65099
Brenner, Susanne C.
1999
A two-level additive Schwarz preconditioner for nonconforming plate elements. Zbl 0855.73071
Brenner, Susanne C.
1996
An a posteriori error estimator for a quadratic $$C^{0}$$-interior penalty method for the biharmonic problem. Zbl 1201.65197
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
2010
A multigrid algorithm for the lowest-order Raviart-Thomas mixed triangular finite element method. Zbl 0759.65080
Brenner, Susanne C.
1992
A locally divergence-free interior penalty method for two-dimensional curl-curl problems. Zbl 1168.65068
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2008
Multigrid methods for the computation of singular solutions and stress intensity factors. I: Corner singularities. Zbl 1043.65136
Brenner, Susanne C.
1999
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations. Zbl 1126.78017
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2007
Convergence of multigrid algorithms for interior penalty methods. Zbl 1073.65117
Brenner, Susanne C.; Zhao, Jie
2005
Poincaré–Friedrichs inequalities for piecewise $$H^2$$ functions. Zbl 1072.65147
Brenner, Susanne C.; Wang, Kening; Zhao, Jie
2004
An optimal-order nonconforming multigrid method for the biharmonic equation. Zbl 0679.65083
Brenner, Susanne C.
1989
$$C^{0}$$ interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
2012
A quadratic $$C^0$$ interior penalty method for the displacement obstacle problem of clamped Kirchhoff plates. Zbl 1263.65110
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Hongchao; Zhang, Yi
2012
A $$\mathcal C^0$$ interior penalty method for a fourth order elliptic singular perturbation problem. Zbl 1225.65108
Brenner, Susanne C.; Neilan, Michael
2011
A nonconforming mixed multigrid method for the pure displacement problem in planar linear elasticity. Zbl 0767.73068
Brenner, Susanne C.
1993
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
2012
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
2009
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
2018
A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates. Zbl 1290.65108
Brenner, Susanne C.; Sung, Li-yeng; Zhang, Hongchao; Zhang, Yi
2013
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. Zbl 1166.78006
Brenner, S. C.; Cui, J.; Li, F.; Sung, L.-Y.
2008
Multigrid methods for parameter dependent problems. Zbl 0848.73062
Brenner, Susanne C.
1996
The condition number of the Schur complement in domain decomposition. Zbl 0936.65141
Brenner, Susanne C.
1999
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
2015
Convergence of the multigrid $$V$$-cycle algorithm for second-order boundary value problems without full elliptic regularity. Zbl 0990.65121
Brenner, Susanne C.
2002
$$C^0$$ Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguan
2015
A weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
Brenner, Susanne C.; Owens, Luke
2007
A nonconforming multigrid method for the stationary Stokes equations. Zbl 0705.76027
Brenner, Susanne C.
1990
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
2017
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
2012
Two-level additive Schwarz preconditioners for $$C^0$$ interior penalty methods. Zbl 1088.65108
Brenner, Susanne C.; Wang, Kening
2005
Convergence of nonconforming $$V$$-cycle and $$F$$-cycle multigrid algorithms for second order elliptic boundary value problems. Zbl 1052.65102
Brenner, Susanne C.
2004
Balancing domain decomposition for nonconforming plate elements. Zbl 0937.74060
Brenner, Susanne C.; Sung, Li-yeng
1999
A $$W$$-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
2007
An adaptive $$P_1$$ finite element method for two-dimensional transverse magnetic time harmonic Maxwell’s equations with general material properties and general boundary conditions. Zbl 1373.78416
Brenner, S. C.; Gedicke, J.; Sung, L.-Y.
2016
A quadratic $$C^0$$ interior penalty method for an elliptic optimal control problem with state constraints. Zbl 1282.65074
Brenner, S. C.; Sung, L.-Y.; Zhang, Y.
2014
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2012
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Zbl 1229.65224
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y.
2011
A partition of unity method for a class of fourth order elliptic variational inequalities. Zbl 1425.65070
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-yeng
2014
Multigrid algorithms for $$C^0$$ interior penalty methods. Zbl 1114.65151
Brenner, Susanne C.; Sung, Li-yeng
2006
A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity. Zbl 0809.73064
Brenner, Susanne C.
1994
A $$C^0$$ interior penalty method for a von Kármán plate. Zbl 1457.65181
Brenner, Susanne C.; Neilan, Michael; Reiser, Armin; Sung, Li-Yeng
2017
A quadratic $$C^0$$ interior penalty method for linear fourth order boundary value problems with boundary conditions of the Cahn-Hilliard type. Zbl 1256.65101
Brenner, Susanne C.; Gu, Shiyuan; Gudi, Thirupathi; Sung, Li-Yeng
2012
Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations. Zbl 1274.78089
Brenner, S. C.; Cui, J.; Nan, Z.; Sung, L.-Y.
2012
An intrinsically parallel finite element method. Zbl 1203.65244
Brenner, S. C.; Gudi, T.; Owens, L.; Sung, L.-Y.
2010
Some nonstandard finite element estimates with applications to $$3D$$ Poisson and Signorini problems. Zbl 0981.65131
Ben Belgacem, Faker; Brenner, Susanne C.
2001
Hodge decomposition methods for a quad-curl problem on planar domains. Zbl 1398.65290
Brenner, Susanne C.; Sun, Jiguang; Sung, Li-yeng
2017
A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints. Zbl 1370.49006
Brenner, Susanne C.; Sung, Li-yeng
2017
Hodge decomposition for two-dimensional time-harmonic Maxwell’s equations: impedance boundary condition. Zbl 1361.78007
Brenner, S. C.; Gedicke, J.; Sung, L.-Y.
2017
A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method. Zbl 1313.65049
Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
2013
Two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method. Zbl 1230.65124
Barker, A. T.; Brenner, S. C.; Park, E.-H.; Sung, L.-Y.
2011
A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Zbl 1205.65311
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
2010
A posteriori error control for a weakly over-penalized symmetric interior penalty method. Zbl 1203.65230
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
2009
Multigrid methods for the computation of singular solutions and stress intensity factors. II: Crack singularities. Zbl 0890.73060
Brenner, S. C.; Sung, L.-Y.
1997
Isoparametric $$C ^{0}$$ interior penalty methods for plate bending problems on smooth domains. Zbl 1341.74147
Brenner, Susanne C.; Neilan, Michael; Sung, Li-Yeng
2013
Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162
Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng
2012
A nonconforming penalty method for a two-dimensional curl-curl problem. Zbl 1168.78315
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2009
Two-level additive Schwarz preconditioners for nonconforming finite elements. Zbl 0817.65107
Brenner, Susanne C.
1994
A $$C^0$$ interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints. Zbl 1384.65038
Brenner, Susanne C.; Oh, Minah; Pollock, Sara; Porwal, Kamana; Schedensack, Mira; Sharma, Natasha S.
2016
Multigrid methods for saddle point problems: Stokes and Lamé systems. Zbl 1298.76067
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng
2014
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework. Zbl 1065.65136
Brenner, Susanne
2003
An a posteriori analysis of $$C^0$$ interior penalty methods for the obstacle problem of clamped Kirchhoff plates. Zbl 1381.74129
Brenner, Susanne C.; Gedicke, Joscha; Sung, Li-Yeng; Zhang, Yi
2017
A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach. Zbl 1306.65276
Barker, Andrew T.; Brenner, Susanne C.
2014
Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. Zbl 1232.65164
Barker, A. T.; Brenner, S. C.; Sung, L.-Y.
2011
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Zbl 1065.65128
Brenner, Susanne C.
2004
$$C^0$$ interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition. Zbl 07006472
Brenner, Susanne C.; Sung, Li-yeng; Zhang, Yi
2019
Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraints. Zbl 1320.65169
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
2015
An adaptive $$P_1$$ finite element method for two-dimensional Maxwell’s equations. Zbl 1266.78027
Brenner, S. C.; Gedicke, J.; Sung, L.-Y.
2013
Nonconforming Maxwell eigensolvers. Zbl 1203.65236
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2009
Lower bounds for two-level additive Schwarz preconditioners with small overlap. Zbl 0959.65062
Brenner, Susanne C.
2000
Overcoming corner singularities using multigrid methods. Zbl 0914.65117
Brenner, Susanne C.
1998
A Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints. Zbl 1412.49025
Brenner, Susanne C.; Gudi, Thirupathi; Porwal, Kamana; Sung, Li-Yeng
2018
$$C^0$$ interior penalty methods for an elliptic distributed optimal control problem on nonconvex polygonal domains with pointwise state constraints. Zbl 1396.49003
Brenner, Susanne C.; Gedicke, Joscha; Sung, Li-yeng
2018
A one-level additive Schwarz preconditioner for a discontinuous Petrov-Galerkin method. Zbl 1382.65432
Barker, Andrew T.; Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
2014
A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates. Zbl 1293.74424
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-yeng
2014
A quadratic nonconforming vector finite element for $$H(\text{curl}; \varOmega)\cap H(\text{div}; \varOmega)$$. Zbl 1170.65091
Brenner, Susanne C.; Sung, Li-Yeng
2009
Multigrid methods for the computation of singular solutions and stress intensity factors. III: Interface singularities. Zbl 1054.74047
Brenner, Susanne C.; Sung, Li-yeng
2003
Preconditioning complicated finite elements by simple finite elements. Zbl 0857.65114
Brenner, Susanne C.
1996
$$P_1$$ finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions. Zbl 1443.49007
Brenner, S. C.; Oh, M.; Sung, L.-Y.
2020
A robust solver for a mixed finite element method for the Cahn-Hilliard equation. Zbl 1407.65179
Brenner, Susanne C.; Diegel, Amanda E.; Sung, Li-Yeng
2018
Multigrid methods for saddle point problems: Oseen system. Zbl 1402.65176
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng
2017
An additive analysis of multiplicative Schwarz methods. Zbl 1271.65147
Brenner, Susanne C.
2013
An iterative substructuring algorithm for a $$C^{0}$$ interior penalty method. Zbl 1321.65181
Brenner, Susanne C.; Wang, Kening
2012
An additive Schwarz preconditioner for the FETI method. Zbl 1030.65115
Brenner, Susanne C.
2003
Smoothers, mesh dependent norms, interpolation and multigrid. Zbl 1022.65134
Brenner, Susanne C.
2002
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Zbl 0974.65114
Brenner, Susanne C.; Sung, Li-Yeng
2000
A two-level additive Schwarz preconditioner for macro-element approximations of the plate bending problem. Zbl 0838.73069
Brenner, Susanne C.
1995
A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation. Zbl 07143630
Brenner, Susanne C.; Diegel, Amanda E.; Sung, Li-Yeng
2020
A nonconforming finite element method for an acoustic fluid-structure interaction problem. Zbl 1456.65148
Brenner, Susanne C.; Çeşmelioǧlu, Ayçıl; Cui, Jintao; Sung, Li-Yeng
2018
A partition of unity method for the obstacle problem of simply supported Kirchhoff plates. Zbl 1342.74177
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-yeng
2015
Adaptive $$C^0$$ interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. Zbl 07305201
Brenner, Susanne C.; Kawecki, Ellya L.
2021
$$P_1$$ finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions. Zbl 1443.49007
Brenner, S. C.; Oh, M.; Sung, L.-Y.
2020
A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation. Zbl 07143630
Brenner, Susanne C.; Diegel, Amanda E.; Sung, Li-Yeng
2020
$$P_1$$ finite element methods for an elliptic optimal control problem with pointwise state constraints. Zbl 07330012
Brenner, Susanne C.; Sung, Li-yeng; Gedicke, Joscha
2020
$$C^0$$ interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition. Zbl 07006472
Brenner, Susanne C.; Sung, Li-yeng; Zhang, Yi
2019
Virtual enriching operators. Zbl 07142733
Brenner, Susanne C.; Sung, Li-Yeng
2019
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
2019
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
2018
A Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints. Zbl 1412.49025
Brenner, Susanne C.; Gudi, Thirupathi; Porwal, Kamana; Sung, Li-Yeng
2018
$$C^0$$ interior penalty methods for an elliptic distributed optimal control problem on nonconvex polygonal domains with pointwise state constraints. Zbl 1396.49003
Brenner, Susanne C.; Gedicke, Joscha; Sung, Li-yeng
2018
A robust solver for a mixed finite element method for the Cahn-Hilliard equation. Zbl 1407.65179
Brenner, Susanne C.; Diegel, Amanda E.; Sung, Li-Yeng
2018
A nonconforming finite element method for an acoustic fluid-structure interaction problem. Zbl 1456.65148
Brenner, Susanne C.; Çeşmelioǧlu, Ayçıl; Cui, Jintao; Sung, Li-Yeng
2018
Additive Schwarz preconditioners for the obstacle problem of clamped Kirchhoff plates. Zbl 1408.65084
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-Yeng
2018
Multigrid methods for $$H(\text{div})$$ in three dimensions with nonoverlapping domain decomposition smoothers. Zbl 06987013
Brenner, Susanne C.; Oh, Duk-Soon
2018
Multigrid methods for saddle point problems: Darcy systems. Zbl 1408.76361
Brenner, Susanne C.; Oh, Duk-Soon; Sung, Li-Yeng
2018
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
2017
A $$C^0$$ interior penalty method for a von Kármán plate. Zbl 1457.65181
Brenner, Susanne C.; Neilan, Michael; Reiser, Armin; Sung, Li-Yeng
2017
Hodge decomposition methods for a quad-curl problem on planar domains. Zbl 1398.65290
Brenner, Susanne C.; Sun, Jiguang; Sung, Li-yeng
2017
A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints. Zbl 1370.49006
Brenner, Susanne C.; Sung, Li-yeng
2017
Hodge decomposition for two-dimensional time-harmonic Maxwell’s equations: impedance boundary condition. Zbl 1361.78007
Brenner, S. C.; Gedicke, J.; Sung, L.-Y.
2017
An a posteriori analysis of $$C^0$$ interior penalty methods for the obstacle problem of clamped Kirchhoff plates. Zbl 1381.74129
Brenner, Susanne C.; Gedicke, Joscha; Sung, Li-Yeng; Zhang, Yi
2017
Multigrid methods for saddle point problems: Oseen system. Zbl 1402.65176
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng
2017
A two-level additive Schwarz domain decomposition preconditioner for a flat-top partition of unity method. Zbl 1404.65299
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-Yeng
2017
A finite element method for the one-dimensional prescribed curvature problem. Zbl 1380.65361
Brenner, Susanne C.; Sung, Li-Yeng; Wang, Zhuo; Xu, Yuesheng
2017
A BDDC preconditioner for a symmetric interior penalty Galerkin method. Zbl 1368.65230
Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
2017
An adaptive $$P_1$$ finite element method for two-dimensional transverse magnetic time harmonic Maxwell’s equations with general material properties and general boundary conditions. Zbl 1373.78416
Brenner, S. C.; Gedicke, J.; Sung, L.-Y.
2016
A $$C^0$$ interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints. Zbl 1384.65038
Brenner, Susanne C.; Oh, Minah; Pollock, Sara; Porwal, Kamana; Schedensack, Mira; Sharma, Natasha S.
2016
Topics in numerical partial differential equations and scientific computing. Based on the presentations at the 2nd IMA’s Women in Applied Mathematics, WhAM!, research collaboration workshop, Minneapolis, MN, USA, August 12–15, 2014. Zbl 1353.65001
Brenner, Susanne C. (ed.)
2016
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
2015
$$C^0$$ Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguan
2015
Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraints. Zbl 1320.65169
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
2015
A partition of unity method for the obstacle problem of simply supported Kirchhoff plates. Zbl 1342.74177
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-yeng
2015
Piecewise $$\mathrm{H}^1$$ functions and vector fields associated with meshes generated by independent refinements. Zbl 1311.65143
Brenner, Susanne C.; Sung, Li-Yeng
2015
A quadratic $$C^0$$ interior penalty method for an elliptic optimal control problem with state constraints. Zbl 1282.65074
Brenner, S. C.; Sung, L.-Y.; Zhang, Y.
2014
A partition of unity method for a class of fourth order elliptic variational inequalities. Zbl 1425.65070
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-yeng
2014
Multigrid methods for saddle point problems: Stokes and Lamé systems. Zbl 1298.76067
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng
2014
A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach. Zbl 1306.65276
Barker, Andrew T.; Brenner, Susanne C.
2014
A one-level additive Schwarz preconditioner for a discontinuous Petrov-Galerkin method. Zbl 1382.65432
Barker, Andrew T.; Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
2014
A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates. Zbl 1293.74424
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-yeng
2014
A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates. Zbl 1290.65108
Brenner, Susanne C.; Sung, Li-yeng; Zhang, Hongchao; Zhang, Yi
2013
A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method. Zbl 1313.65049
Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
2013
Isoparametric $$C ^{0}$$ interior penalty methods for plate bending problems on smooth domains. Zbl 1341.74147
Brenner, Susanne C.; Neilan, Michael; Sung, Li-Yeng
2013
An adaptive $$P_1$$ finite element method for two-dimensional Maxwell’s equations. Zbl 1266.78027
Brenner, S. C.; Gedicke, J.; Sung, L.-Y.
2013
An additive analysis of multiplicative Schwarz methods. Zbl 1271.65147
Brenner, Susanne C.
2013
$$C^{0}$$ interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
2012
A quadratic $$C^0$$ interior penalty method for the displacement obstacle problem of clamped Kirchhoff plates. Zbl 1263.65110
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Hongchao; Zhang, Yi
2012
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
2012
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
2012
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2012
A quadratic $$C^0$$ interior penalty method for linear fourth order boundary value problems with boundary conditions of the Cahn-Hilliard type. Zbl 1256.65101
Brenner, Susanne C.; Gu, Shiyuan; Gudi, Thirupathi; Sung, Li-Yeng
2012
Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations. Zbl 1274.78089
Brenner, S. C.; Cui, J.; Nan, Z.; Sung, L.-Y.
2012
Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162
Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng
2012
An iterative substructuring algorithm for a $$C^{0}$$ interior penalty method. Zbl 1321.65181
Brenner, Susanne C.; Wang, Kening
2012
$$\mathcal{C}^{0}$$ penalty methods for the fully nonlinear Monge-Ampère equation. Zbl 1228.65220
Brenner, Susanne C.; Gudi, Thirupathi; Neilan, Michael; Sung, Li-Yeng
2011
A $$\mathcal C^0$$ interior penalty method for a fourth order elliptic singular perturbation problem. Zbl 1225.65108
Brenner, Susanne C.; Neilan, Michael
2011
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Zbl 1229.65224
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y.
2011
Two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method. Zbl 1230.65124
Barker, A. T.; Brenner, S. C.; Park, E.-H.; Sung, L.-Y.
2011
Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. Zbl 1232.65164
Barker, A. T.; Brenner, S. C.; Sung, L.-Y.
2011
An a posteriori error estimator for a quadratic $$C^{0}$$-interior penalty method for the biharmonic problem. Zbl 1201.65197
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
2010
An intrinsically parallel finite element method. Zbl 1203.65244
Brenner, S. C.; Gudi, T.; Owens, L.; Sung, L.-Y.
2010
A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Zbl 1205.65311
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
2010
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
2009
A posteriori error control for a weakly over-penalized symmetric interior penalty method. Zbl 1203.65230
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
2009
A nonconforming penalty method for a two-dimensional curl-curl problem. Zbl 1168.78315
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2009
Nonconforming Maxwell eigensolvers. Zbl 1203.65236
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2009
A quadratic nonconforming vector finite element for $$H(\text{curl}; \varOmega)\cap H(\text{div}; \varOmega)$$. Zbl 1170.65091
Brenner, Susanne C.; Sung, Li-Yeng
2009
The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042
Brenner, Susanne C.; Scott, L. Ridgway
2008
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2008
A locally divergence-free interior penalty method for two-dimensional curl-curl problems. Zbl 1168.65068
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2008
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. Zbl 1166.78006
Brenner, S. C.; Cui, J.; Li, F.; Sung, L.-Y.
2008
A functional analytic framework for BDDC and FETI-DP. Zbl 1140.65362
Brenner, Susanne C.
2008
BDDC and FETI-DP without matrices or vectors. Zbl 1173.65363
Brenner, Susanne C.; Sung, Li-Yeng
2007
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations. Zbl 1126.78017
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2007
A weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
Brenner, Susanne C.; Owens, Luke
2007
A $$W$$-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
2007
Multigrid algorithms for $$C^0$$ interior penalty methods. Zbl 1114.65151
Brenner, Susanne C.; Sung, Li-yeng
2006
$$C^0$$ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151
Brenner, Susanne C.; Sung, Li-Yeng
2005
Convergence of multigrid algorithms for interior penalty methods. Zbl 1073.65117
Brenner, Susanne C.; Zhao, Jie
2005
Two-level additive Schwarz preconditioners for $$C^0$$ interior penalty methods. Zbl 1088.65108
Brenner, Susanne C.; Wang, Kening
2005
Korn’s inequalities for piecewise $$H^1$$ vector fields. Zbl 1055.65118
Brenner, Susanne C.
2004
Poincaré–Friedrichs inequalities for piecewise $$H^2$$ functions. Zbl 1072.65147
Brenner, Susanne C.; Wang, Kening; Zhao, Jie
2004
Convergence of nonconforming $$V$$-cycle and $$F$$-cycle multigrid algorithms for second order elliptic boundary value problems. Zbl 1052.65102
Brenner, Susanne C.
2004
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Zbl 1065.65128
Brenner, Susanne C.
2004
Poincaré–Friedrichs inequalities for piecewise $$H^{1}$$ functions. Zbl 1045.65100
Brenner, Susanne C.
2003
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework. Zbl 1065.65136
Brenner, Susanne
2003
Multigrid methods for the computation of singular solutions and stress intensity factors. III: Interface singularities. Zbl 1054.74047
Brenner, Susanne C.; Sung, Li-yeng
2003
An additive Schwarz preconditioner for the FETI method. Zbl 1030.65115
Brenner, Susanne C.
2003
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Zbl 1054.65043
Brenner, Susanne C.; He, Qingmi
2003
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
2002
Convergence of the multigrid $$V$$-cycle algorithm for second-order boundary value problems without full elliptic regularity. Zbl 0990.65121
Brenner, Susanne C.
2002
Smoothers, mesh dependent norms, interpolation and multigrid. Zbl 1022.65134
Brenner, Susanne C.
2002
A new look at FETI. Zbl 1026.65096
Brenner, Susanne C.
2002
Some nonstandard finite element estimates with applications to $$3D$$ Poisson and Signorini problems. Zbl 0981.65131
Ben Belgacem, Faker; Brenner, Susanne C.
2001
Long-range correlations and trends in global climate models: Comparison with real data. Zbl 0978.86005
Govindan, R. B.; Vjushin, D.; Brenner, S.; Bunde, A.; Havlin, S.; Schellnhuber, H.-J.
2001
Lower bounds for two-level additive Schwarz preconditioners with small overlap. Zbl 0959.65062
Brenner, Susanne C.
2000
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Zbl 0974.65114
Brenner, Susanne C.; Sung, Li-Yeng
2000
Discrete Sobolev and Poincaré inequalities via Fourier series. Zbl 0963.65113
Brenner, S. C.; Sung, L.-Y.
2000
Convergence of nonconforming multigrid methods without full elliptic regularity. Zbl 0912.65099
Brenner, Susanne C.
1999
Multigrid methods for the computation of singular solutions and stress intensity factors. I: Corner singularities. Zbl 1043.65136
Brenner, Susanne C.
1999
The condition number of the Schur complement in domain decomposition. Zbl 0936.65141
Brenner, Susanne C.
1999
...and 21 more Documents
all top 5

Cited by 3,269 Authors

 79 Brenner, Susanne Cecelia 62 Carstensen, Carsten 34 Huang, Jianguo 34 Huang, Yunqing 30 Beirão da Veiga, Lourenço 30 Chen, Shaochun 30 Gudi, Thirupathi 30 Li, Jichun 29 Larson, Mats G. 28 Zhang, Shangyou 27 Neilan, Michael 26 Sung, Li-Yeng 24 Han, Weimin 24 Yang, Yidu 24 Zhang, Zhimin 23 Sung, Liyeng 23 Xie, Hehu 22 Antonietti, Paola Francesca 22 Feng, Xiaobing 22 Girault, Vivette 22 Lamichhane, Bishnu Prasad 22 Rebholz, Leo G. 21 Nochetto, Ricardo Horacio 21 Shi, Zhongci 21 Ye, Xiu 20 Hansbo, Peter 20 Huang, Xuehai 20 Shi, Dongyang 19 Bi, Hai 19 Li, Hengguang 19 Nataraj, Neela 18 Chen, Jinru 18 Mao, Shipeng 17 Badia, Santiago 17 Xu, Xuejun 17 Yang, Suh-Yuh 16 Chung, Tsz Shun Eric 16 Di Pietro, Daniele Antonio 16 Gedicke, Joscha 16 Hu, Jun 16 Vabishchevich, Pëtr Nikolaevich 16 Xu, Jinchao 15 Bacuta, Constantin 15 Burman, Erik 15 Casas, Eduardo 15 Cockburn, Bernardo 15 Mu, Lin 15 Pani, Amiya Kumar 15 Peterseim, Daniel 15 Wohlmuth, Barbara I. 14 Codina, Ramon 14 Duan, Huoyuan 14 Hiptmair, Ralf 14 Marcinkowski, Leszek 14 Scott, Larkin Ridgway 13 Bartels, Sören 13 Bi, Chunjia 13 Chen, Long 13 Cui, Jintao 13 Dawson, Clint N. 13 Gatica, Gabriel N. 13 He, Yinnian 13 Manzini, Gianmarco 13 Wang, Junping 13 Wheeler, Mary Fanett 13 Yang, Min 12 Guo, Hailong 12 Hinze, Michael 12 Liu, Jiangguo 12 Park, Eun-Jae 12 Prohl, Andreas 12 Schwab, Christoph 12 Verani, Marco 12 Wu, Haijun 11 Brezzi, Franco 11 Chen, Yanping 11 Gunzburger, Max D. 11 Kim, Hyea Hyun 11 Ku, Jaeun 11 Makridakis, Charalambos G. 11 Mandel, Jan 11 Rahman, Talal 11 Rivière, Beatrice M. 11 Russo, Alessandro 11 Sayas, Francisco-Javier 11 Sheen, Dongwoo 11 Sinha, Rajen Kumar 11 Vacca, Giuseppe 11 Xie, Xiaoping 10 Chen, Zhangxin 10 Ciarlet, Patrick jun. 10 Deka, Bhupen 10 Ern, Alexandre 10 Gallistl, Dietmar 10 Guzmán, Johnny 10 Han, Jiayu 10 Kwak, Do Young 10 Lew, Adrian J. 10 Lin, Qun 10 Linke, Alexander ...and 3,169 more Authors
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Cited in 237 Serials

 267 Computer Methods in Applied Mechanics and Engineering 241 Journal of Computational and Applied Mathematics 230 Mathematics of Computation 224 Journal of Scientific Computing 207 Numerische Mathematik 150 Computers & Mathematics with Applications 119 SIAM Journal on Numerical Analysis 115 Applied Numerical Mathematics 108 Journal of Computational Physics 100 Applied Mathematics and Computation 94 Numerical Methods for Partial Differential Equations 77 SIAM Journal on Scientific Computing 68 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 48 Advances in Computational Mathematics 44 Computational Methods in Applied Mathematics 42 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 36 Calcolo 34 Journal of Mathematical Analysis and Applications 29 BIT 27 International Journal for Numerical Methods in Engineering 26 Numerical Functional Analysis and Optimization 23 Japan Journal of Industrial and Applied Mathematics 23 Journal of Numerical Mathematics 21 Computational Optimization and Applications 20 Mathematical Methods in the Applied Sciences 19 Numerical Algorithms 18 Applied Mathematics Letters 18 Science China. Mathematics 17 Numerical Linear Algebra with Applications 17 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 16 Applications of Mathematics 16 Computational Geosciences 13 Communications in Numerical Methods in Engineering 12 Computing 11 Computers and Fluids 11 Mathematical Problems in Engineering 10 Engineering Analysis with Boundary Elements 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Multiscale Modeling & Simulation 9 Science in China. Series A 9 Applied Mathematical Modelling 8 Journal of Approximation Theory 8 Mathematics and Computers in Simulation 8 Foundations of Computational Mathematics 8 Discrete and Continuous Dynamical Systems. Series B 7 Applied Mathematics and Mechanics. (English Edition) 7 International Journal of Computer Mathematics 7 ETNA. Electronic Transactions on Numerical Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 East Asian Journal on Applied Mathematics 6 Applicable Analysis 6 SIAM Journal on Control and Optimization 6 Computational and Applied Mathematics 6 Abstract and Applied Analysis 6 Mathematical Control and Related Fields 6 SIAM/ASA Journal on Uncertainty Quantification 6 Electronic Research Archive 6 Results in Applied Mathematics 5 Archive for Rational Mechanics and Analysis 5 Journal of Optimization Theory and Applications 5 Computational Mechanics 5 Mathematical and Computer Modelling 5 Applied Mathematics. Series B (English Edition) 5 Journal of Applied Mathematics and Computing 5 Central European Journal of Mathematics 5 International Journal of Computational Methods 5 Discrete and Continuous Dynamical Systems. Series S 4 International Journal for Numerical Methods in Fluids 4 Acta Applicandae Mathematicae 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Journal of Complexity 4 Journal of Integral Equations and Applications 4 Computational Mathematics and Mathematical Physics 4 Journal of Inverse and Ill-Posed Problems 4 Russian Journal of Numerical Analysis and Mathematical Modelling 4 Mathematics and Mechanics of Solids 4 Computing and Visualization in Science 4 Communications in Nonlinear Science and Numerical Simulation 4 Archives of Computational Methods in Engineering 4 Analysis and Applications (Singapore) 4 Advances in Numerical Analysis 4 SMAI Journal of Computational Mathematics 3 Computer Physics Communications 3 Indian Journal of Pure & Applied Mathematics 3 Journal of the Mechanics and Physics of Solids 3 Applied Mathematics and Optimization 3 Journal of Differential Equations 3 Meccanica 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Computer Aided Geometric Design 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Elasticity 3 SIAM Journal on Mathematical Analysis 3 Journal of Nonlinear Science 3 Optimization Methods & Software 3 Journal of Inequalities and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Lobachevskii Journal of Mathematics 3 Differential Equations ...and 137 more Serials
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Cited in 45 Fields

 2,656 Numerical analysis (65-XX) 1,433 Partial differential equations (35-XX) 638 Fluid mechanics (76-XX) 559 Mechanics of deformable solids (74-XX) 193 Calculus of variations and optimal control; optimization (49-XX) 152 Optics, electromagnetic theory (78-XX) 72 Approximations and expansions (41-XX) 58 Probability theory and stochastic processes (60-XX) 46 Biology and other natural sciences (92-XX) 45 Functional analysis (46-XX) 42 Statistical mechanics, structure of matter (82-XX) 33 Geophysics (86-XX) 29 Ordinary differential equations (34-XX) 26 Real functions (26-XX) 25 Potential theory (31-XX) 25 Integral equations (45-XX) 23 Operator theory (47-XX) 21 Classical thermodynamics, heat transfer (80-XX) 21 Operations research, mathematical programming (90-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Systems theory; control (93-XX) 15 Computer science (68-XX) 14 Quantum theory (81-XX) 11 Statistics (62-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Information and communication theory, circuits (94-XX) 7 Special functions (33-XX) 7 Mechanics of particles and systems (70-XX) 6 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)

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