## Brenner, Susanne Cecelia

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 Author ID: brenner.susanne-c Published as: Brenner, Susanne C.; Brenner, S. C.; Brenner, Susanne; Brenner, Susanne Cecelia more...less Homepage: https://www.math.lsu.edu/~brenner/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 137 Publications since 1989, including 3 Books 8 Contributions as Editor Co-Authors: 58 Co-Authors with 87 Joint Publications 2,435 Co-Co-Authors
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### Co-Authors

 38 single-authored 8 Gudi, Thirupathi 7 Cui, Jintao 6 Davis, Christopher B. 6 Gedicke, Joscha 5 Li, Fengyan 5 Neilan, Michael 5 Owens, Luke 4 Barker, Andrew T. 4 Park, Eunhee 4 Wang, Kening 3 Oh, Duk-Soon 3 Scott, Larkin Ridgway 3 Tan, Zhiyu 3 Zhang, Hongchao 2 Carstensen, Carsten 2 Diegel, Amanda E. 2 Garay, José C. 2 Li, Hengguang 2 Liu, Sijing 2 Monk, Peter B. 2 Oh, Minah 2 Porwal, Kamana 2 Sun, Jiguang 2 Szyld, Daniel B. 2 Wollner, Winnifried 2 Zhao, Jie 1 Antonietti, Paola Francesca 1 Ayuso de Dios, Blanca 1 Ben Belgacem, Faker 1 Bjørstad, Petter Erling 1 Bunde, Armin 1 Cai, Xiao-Chuan 1 Çeşmelioğlu, Ayçıl 1 Demkowicz, Leszek F. 1 Gander, Martin Jakob 1 Govindan, R. B. 1 Gu, Shiyuan 1 Guan, Qingguang 1 Halpern, Lawrence 1 Havlin, Shlomo 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 Pollock, Sara 1 Rahman, Talal 1 Reiser, Armin 1 Rivière, Beatrice M. 1 Sarkis, Marcus V. 1 Schedensack, Mira 1 Schellnhuber, Hans-Joachim 1 Sharma, Natasha S. 1 Shparlinski, Igor E. 1 Shu, Chi-Wang 1 Vexler, Boris 1 Vjushin, Dmitry 1 Wang, Zhuo 1 Widlund, Olof B. 1 Wriggers, Peter 1 Xu, Yuesheng
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### Serials

 16 Mathematics of Computation 13 Numerische Mathematik 12 SIAM Journal on Numerical Analysis 11 Journal of Scientific Computing 10 ETNA. Electronic Transactions on Numerical Analysis 7 Journal of Computational and Applied Mathematics 6 Computational Methods in Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Oberwolfach Reports 3 Numerical Functional Analysis and Optimization 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Linear Algebra with Applications 3 Texts in Applied Mathematics 2 IMA Journal of Numerical Analysis 2 Calcolo 2 Applied Numerical Mathematics 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 Physica A 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 Optimization and Engineering 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 Contemporary Mathematics 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
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### Fields

 137 Numerical analysis (65-XX) 66 Partial differential equations (35-XX) 26 Mechanics of deformable solids (74-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 11 Optics, electromagnetic theory (78-XX) 9 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

126 Publications have been cited 4,943 times in 3,571 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
$$C^0$$ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151
Brenner, Susanne C.; Sung, Li-Yeng
2005
Korn’s inequalities for piecewise $$H^1$$ vector fields. Zbl 1055.65118
Brenner, Susanne C.
2004
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
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
2018
BDDC and FETI-DP without matrices or vectors. Zbl 1173.65363
Brenner, Susanne C.; Sung, Li-Yeng
2007
$$\mathcal{C}^{0}$$ penalty methods for the fully nonlinear Monge-Ampère equation. Zbl 1228.65220
Brenner, Susanne C.; Gudi, Thirupathi; Neilan, Michael; Sung, Li-Yeng
2011
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
2017
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2008
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
Convergence of nonconforming multigrid methods without full elliptic regularity. Zbl 0912.65099
Brenner, Susanne C.
1999
An optimal-order multigrid method for P1 nonconforming finite elements. Zbl 0664.65103
Brenner, Susanne C.
1989
A two-level additive Schwarz preconditioner for nonconforming plate elements. Zbl 0855.73071
Brenner, Susanne C.
1996
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 multigrid algorithm for the lowest-order Raviart-Thomas mixed triangular finite element method. Zbl 0759.65080
Brenner, Susanne C.
1992
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
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
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
Convergence of multigrid algorithms for interior penalty methods. Zbl 1073.65117
Brenner, Susanne C.; Zhao, Jie
2005
A $$\mathcal C^0$$ interior penalty method for a fourth order elliptic singular perturbation problem. Zbl 1225.65108
Brenner, Susanne C.; Neilan, Michael
2011
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
2015
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
$$C^{0}$$ interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
2012
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
2012
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
$$C^0$$ Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguang
2015
A nonconforming mixed multigrid method for the pure displacement problem in planar linear elasticity. Zbl 0767.73068
Brenner, Susanne C.
1993
The condition number of the Schur complement in domain decomposition. Zbl 0936.65141
Brenner, Susanne C.
1999
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
2009
Multigrid methods for parameter dependent problems. Zbl 0848.73062
Brenner, Susanne C.
1996
Hodge decomposition methods for a quad-curl problem on planar domains. Zbl 1398.65290
Brenner, Susanne C.; Sun, Jiguang; 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 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
Convergence of the multigrid $$V$$-cycle algorithm for second-order boundary value problems without full elliptic regularity. Zbl 0990.65121
Brenner, Susanne C.
2002
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
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
2012
A nonconforming multigrid method for the stationary Stokes equations. Zbl 0705.76027
Brenner, Susanne C.
1990
Convergence of nonconforming $$V$$-cycle and $$F$$-cycle multigrid algorithms for second order elliptic boundary value problems. Zbl 1052.65102
Brenner, Susanne C.
2004
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 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
Two-level additive Schwarz preconditioners for $$C^0$$ interior penalty methods. Zbl 1088.65108
Brenner, Susanne C.; Wang, Kening
2005
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
A $$W$$-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
2007
Balancing domain decomposition for nonconforming plate elements. Zbl 0937.74060
Brenner, Susanne C.; Sung, Li-yeng
1999
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
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Zbl 1229.65224
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y.
2011
Multigrid algorithms for $$C^0$$ interior penalty methods. Zbl 1114.65151
Brenner, Susanne C.; Sung, Li-yeng
2006
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 weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
Brenner, Susanne C.; Owens, Luke
2007
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
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2012
A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity. Zbl 0809.73064
Brenner, Susanne C.
1994
Two-level additive Schwarz preconditioners for nonconforming finite elements. Zbl 0817.65107
Brenner, Susanne C.
1994
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
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 posteriori error control for a weakly over-penalized symmetric interior penalty method. Zbl 1203.65230
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
2009
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
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
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
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
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
Multigrid methods for saddle point problems: Stokes and Lamé systems. Zbl 1298.76067
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng
2014
A nonconforming penalty method for a two-dimensional curl-curl problem. Zbl 1168.78315
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2009
$$C^0$$ 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 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
Nonconforming Maxwell eigensolvers. Zbl 1203.65236
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
2009
$$C^0$$ 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
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Zbl 1065.65128
Brenner, Susanne C.
2004
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
Virtual enriching operators. Zbl 1471.65192
Brenner, Susanne C.; Sung, Li-Yeng
2019
Overcoming corner singularities using multigrid methods. Zbl 0914.65117
Brenner, Susanne C.
1998
Adaptive $$C^0$$ interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. Zbl 1458.65145
Brenner, Susanne C.; Kawecki, Ellya L.
2021
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
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
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
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
2019
Lower bounds for two-level additive Schwarz preconditioners with small overlap. Zbl 0959.65062
Brenner, Susanne C.
2000
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 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 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
$$P_1$$ 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
Preconditioning complicated finite elements by simple finite elements. Zbl 0857.65114
Brenner, Susanne C.
1996
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
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 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 saddle point problems: Oseen system. Zbl 1402.65176
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng
2017
A two-level additive Schwarz preconditioner for macro-element approximations of the plate bending problem. Zbl 0838.73069
Brenner, Susanne C.
1995
An iterative substructuring algorithm for a $$C^{0}$$ interior penalty method. Zbl 1321.65181
Brenner, Susanne C.; Wang, Kening
2012
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
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Zbl 0974.65114
Brenner, Susanne C.; Sung, Li-Yeng
2000
Smoothers, mesh dependent norms, interpolation and multigrid. Zbl 1022.65134
Brenner, Susanne C.
2002
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Zbl 1054.65043
Brenner, Susanne C.; He, Qingmi
2003
Adaptive $$C^0$$ interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. Zbl 1458.65145
Brenner, Susanne C.; Kawecki, Ellya L.
2021
Additive Schwarz preconditioners for a localized orthogonal decomposition method. Zbl 1473.65337
Brenner, Susanne C.; Garay, José C.; Sung, Li-Yeng
2021
A $$C^1$$ virtual element method for an elliptic distributed optimal control problem with pointwise state constraints. Zbl 1478.65115
Brenner, Susanne C.; Sung, Li-Yeng; Tan, Zhiyu
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 1478.65080
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 1464.65061
Brenner, Susanne C.; Sung, Li-yeng; Gedicke, Joscha
2020
A cubic $$C^{\mathbf{0}}$$ interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints. Zbl 1464.49021
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu
2020
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (survey). Zbl 1440.49037
Brenner, Susanne C.
2020
A one dimensional elliptic distributed optimal control problem with pointwise derivative constraints. Zbl 1447.49001
Brenner, Susanne C.; Sung, Li-yeng; Wollner, Winnifried
2020
Multigrid methods for saddle point problems: optimality systems. Zbl 1433.49003
Brenner, Susanne C.; Liu, Sijing; Sung, Li-yeng
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 1471.65192
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
$$C^0$$ 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 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
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
Multigrid methods for saddle point problems: Darcy systems. Zbl 1408.76361
Brenner, Susanne C.; Oh, Duk-Soon; 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
Additive Schwarz preconditioners for the obstacle problem of clamped Kirchhoff plates. Zbl 1408.65084
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-Yeng
2018
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; 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 $$C^0$$ interior penalty method for a von Kármán plate. Zbl 1457.65181
Brenner, Susanne C.; Neilan, Michael; Reiser, Armin; Sung, Li-Yeng
2017
A 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
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, Jiguang
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 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 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 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
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
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
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
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
$$C^{0}$$ interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
2012
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
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
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
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
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
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
A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Zbl 1205.65311
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
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
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 $$W$$-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
2007
A weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
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
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Zbl 1054.65043
Brenner, Susanne C.; He, Qingmi
2003
An additive Schwarz preconditioner for the FETI method. Zbl 1030.65115
Brenner, Susanne C.
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
...and 26 more Documents
all top 5

### Cited by 3,517 Authors

 84 Brenner, Susanne Cecelia 71 Carstensen, Carsten 43 Huang, Jianguo 41 Huang, Yunqing 38 Zhang, Shangyou 36 Beirão da Veiga, Lourenço 33 Zhang, Zhimin 32 Li, Jichun 31 Gudi, Thirupathi 31 Han, Weimin 31 Yang, Yidu 30 Chen, Shaochun 29 Larson, Mats G. 28 Neilan, Michael 26 Antonietti, Paola Francesca 26 Huang, Xuehai 26 Nataraj, Neela 26 Rebholz, Leo G. 25 Feng, Xiaobing 25 Girault, Vivette 25 Ye, Xiu 24 Bi, Hai 24 Nochetto, Ricardo Horacio 23 Li, Hengguang 23 Xie, Hehu 22 He, Yinnian 22 Lamichhane, Bishnu Prasad 21 Manzini, Gianmarco 21 Pani, Amiya Kumar 21 Shi, Zhongci 20 Hansbo, Peter 20 Mao, Shipeng 20 Shi, Dongyang 19 Bartels, Sören 19 Vabishchevich, Pëtr Nikolaevich 18 Chen, Jinru 18 Chen, Long 18 Di Pietro, Daniele Antonio 18 Gedicke, Joscha 18 Hu, Jun 18 Scott, Larkin Ridgway 18 Vacca, Giuseppe 18 Xu, Xuejun 17 Badia, Santiago 17 Burman, Erik 17 Chung, Tsz Shun Eric 17 Mora, David 17 Peterseim, Daniel 17 Xu, Jinchao 17 Yang, Suh-Yuh 16 Bacuta, Constantin 16 Cockburn, Bernardo 16 Ern, Alexandre 16 Gatica, Gabriel N. 16 Guo, Hailong 16 Zhao, Jikun 15 Casas, Eduardo 15 Dassi, Franco 15 Kwak, Do Young 15 Mu, Lin 15 Park, Eun-Jae 15 Wohlmuth, Barbara I. 14 Codina, Ramon 14 Hiptmair, Ralf 14 Huang, Qiumei 14 Marcinkowski, Leszek 14 Wheeler, Mary Fanett 14 Wu, Haijun 14 Yang, Wei 13 Chen, Yanping 13 Cui, Jintao 13 Droniou, Jérôme 13 Duan, Huoyuan 13 Han, Jiayu 13 Makridakis, Charalambos G. 13 Prohl, Andreas 13 Rivière, Beatrice M. 13 Verani, Marco 13 Wang, Cheng 13 Wollner, Winnifried 13 Yang, Min 12 Bi, Chunjia 12 Guan, Hongbo 12 Hinze, Michael 12 Kim, Hyea Hyun 12 Liu, Jiangguo 12 Mascotto, Lorenzo 12 Monk, Peter B. 12 Porwal, Kamana 12 Qiu, Weifeng 12 Schwab, Christoph 12 Sinha, Rajen Kumar 12 Tsuchiya, Takuya 12 Wang, Junping 12 Zhang, Shuo 12 Zikatanov, Ludmil T. 11 An, Rong 11 Brezzi, Franco 11 Chen, Zhangxin 11 Gunzburger, Max D. ...and 3,417 more Authors
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### Cited in 260 Serials

 279 Journal of Scientific Computing 276 Computer Methods in Applied Mechanics and Engineering 251 Mathematics of Computation 227 Numerische Mathematik 225 Journal of Computational and Applied Mathematics 192 Computers & Mathematics with Applications 144 SIAM Journal on Numerical Analysis 127 Applied Numerical Mathematics 110 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 109 Journal of Computational Physics 97 Applied Mathematics and Computation 94 Numerical Methods for Partial Differential Equations 91 SIAM Journal on Scientific Computing 65 Advances in Computational Mathematics 62 Computational Methods in Applied Mathematics 57 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 44 Calcolo 35 Journal of Mathematical Analysis and Applications 32 BIT 27 International Journal for Numerical Methods in Engineering 27 Numerical Functional Analysis and Optimization 27 Journal of Numerical Mathematics 25 Japan Journal of Industrial and Applied Mathematics 24 Numerical Algorithms 23 Applied Mathematics Letters 22 Computational Optimization and Applications 21 International Journal of Computer Mathematics 21 Science China. Mathematics 20 Mathematical Methods in the Applied Sciences 19 Computational Geosciences 18 Advances in Applied Mathematics and Mechanics 17 Applications of Mathematics 17 Numerical Linear Algebra with Applications 17 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 17 Communications in Computational Physics 14 Multiscale Modeling & Simulation 14 International Journal of Numerical Analysis and Modeling 13 Communications in Numerical Methods in Engineering 12 Computers and Fluids 12 Computing 12 Discrete and Continuous Dynamical Systems. Series B 11 Engineering Analysis with Boundary Elements 11 Mathematical Problems in Engineering 10 Mathematics and Computers in Simulation 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Foundations of Computational Mathematics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 East Asian Journal on Applied Mathematics 9 Science in China. Series A 9 Computational and Applied Mathematics 9 Results in Applied Mathematics 8 Applicable Analysis 8 SIAM Journal on Control and Optimization 8 Computational Mechanics 8 Applied Mathematical Modelling 8 Electronic Research Archive 7 Journal of Approximation Theory 7 Applied Mathematics and Mechanics. (English Edition) 7 Journal of Computational Mathematics 7 ETNA. Electronic Transactions on Numerical Analysis 7 Discrete and Continuous Dynamical Systems. Series S 7 Mathematical Control and Related Fields 6 Abstract and Applied Analysis 6 Communications on Pure and Applied Analysis 6 Journal of Applied Mathematics and Computing 6 International Journal of Computational Methods 6 SIAM/ASA Journal on Uncertainty Quantification 6 Communications on Applied Mathematics and Computation 5 Archive for Rational Mechanics and Analysis 5 Journal of Optimization Theory and Applications 5 Acta Applicandae Mathematicae 5 Journal of Integral Equations and Applications 5 Computational Mathematics and Mathematical Physics 5 Applied Mathematics. Series B (English Edition) 5 Communications in Nonlinear Science and Numerical Simulation 5 Central European Journal of Mathematics 5 Analysis and Applications (Singapore) 4 International Journal for Numerical Methods in Fluids 4 Journal of the Mechanics and Physics of Solids 4 Applied Mathematics and Optimization 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Journal of Complexity 4 Journal of Nonlinear Science 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 Journal of Mathematical Fluid Mechanics 4 Archives of Computational Methods in Engineering 4 Journal of Applied Mathematics 4 Advances in Numerical Analysis 4 SMAI Journal of Computational Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Inverse Problems 3 Meccanica 3 Computer Aided Geometric Design 3 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical and Computer Modelling 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Elasticity ...and 160 more Serials
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### Cited in 46 Fields

 3,120 Numerical analysis (65-XX) 1,684 Partial differential equations (35-XX) 780 Fluid mechanics (76-XX) 630 Mechanics of deformable solids (74-XX) 236 Calculus of variations and optimal control; optimization (49-XX) 180 Optics, electromagnetic theory (78-XX) 75 Approximations and expansions (41-XX) 67 Probability theory and stochastic processes (60-XX) 55 Biology and other natural sciences (92-XX) 51 Statistical mechanics, structure of matter (82-XX) 49 Functional analysis (46-XX) 40 Potential theory (31-XX) 36 Real functions (26-XX) 36 Operator theory (47-XX) 33 Geophysics (86-XX) 31 Ordinary differential equations (34-XX) 29 Computer science (68-XX) 28 Operations research, mathematical programming (90-XX) 27 Integral equations (45-XX) 25 Global analysis, analysis on manifolds (58-XX) 23 Classical thermodynamics, heat transfer (80-XX) 23 Systems theory; control (93-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 16 Statistics (62-XX) 16 Quantum theory (81-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Information and communication theory, circuits (94-XX) 8 Special functions (33-XX) 8 Differential geometry (53-XX) 7 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)

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