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Brenner, Susanne Cecelia

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Author ID: brenner.susanne-c Recent zbMATH articles by "Brenner, Susanne Cecelia"
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: 137 Publications since 1989, including 6 Books
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 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

Publications by Year

Citations contained in zbMATH Open

121 Publications have been cited 4,298 times in 3,126 Documents Cited by Year
The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042
Brenner, Susanne C.; Scott, L. Ridgway
991
2008
The mathematical theory of finite element methods. Zbl 0804.65101
Brenner, Susanne C.; Scott, L. Ridgway
973
1994
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
426
2002
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
191
2003
Korn’s inequalities for piecewise \(H^1\) vector fields. Zbl 1055.65118
Brenner, Susanne C.
123
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
117
2005
Linear finite element methods for planar linear elasticity. Zbl 0766.73060
Brenner, Susanne C.; Sung, Li-Yeng
88
1992
Two-level additive Schwarz preconditioners for nonconforming finite element methods. Zbl 0859.65124
Brenner, Susanne C.
55
1996
BDDC and FETI-DP without matrices or vectors. Zbl 1173.65363
Brenner, Susanne C.; Sung, Li-Yeng
42
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
41
2011
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
40
2008
An optimal-order multigrid method for P1 nonconforming finite elements. Zbl 0664.65103
Brenner, Susanne C.
36
1989
Convergence of nonconforming multigrid methods without full elliptic regularity. Zbl 0912.65099
Brenner, Susanne C.
35
1999
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
33
2010
A two-level additive Schwarz preconditioner for nonconforming plate elements. Zbl 0855.73071
Brenner, Susanne C.
33
1996
A multigrid algorithm for the lowest-order Raviart-Thomas mixed triangular finite element method. Zbl 0759.65080
Brenner, Susanne C.
32
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
30
2008
Multigrid methods for the computation of singular solutions and stress intensity factors. I: Corner singularities. Zbl 1043.65136
Brenner, Susanne C.
30
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
28
2007
Convergence of multigrid algorithms for interior penalty methods. Zbl 1073.65117
Brenner, Susanne C.; Zhao, Jie
26
2005
Poincaré–Friedrichs inequalities for piecewise \(H^2\) functions. Zbl 1072.65147
Brenner, Susanne C.; Wang, Kening; Zhao, Jie
26
2004
An optimal-order nonconforming multigrid method for the biharmonic equation. Zbl 0679.65083
Brenner, Susanne C.
26
1989
\(C^{0}\) interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
25
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
24
2012
A \(\mathcal C^0\) interior penalty method for a fourth order elliptic singular perturbation problem. Zbl 1225.65108
Brenner, Susanne C.; Neilan, Michael
24
2011
A nonconforming mixed multigrid method for the pure displacement problem in planar linear elasticity. Zbl 0767.73068
Brenner, Susanne C.
23
1993
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
22
2018
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
22
2012
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
22
2009
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
21
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.
21
2008
Multigrid methods for parameter dependent problems. Zbl 0848.73062
Brenner, Susanne C.
21
1996
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
20
2015
The condition number of the Schur complement in domain decomposition. Zbl 0936.65141
Brenner, Susanne C.
20
1999
Convergence of the multigrid \(V\)-cycle algorithm for second-order boundary value problems without full elliptic regularity. Zbl 0990.65121
Brenner, Susanne C.
19
2002
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
18
2017
\(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguan
18
2015
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
17
2012
A weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
Brenner, Susanne C.; Owens, Luke
17
2007
A nonconforming multigrid method for the stationary Stokes equations. Zbl 0705.76027
Brenner, Susanne C.
17
1990
Two-level additive Schwarz preconditioners for \(C^0\) interior penalty methods. Zbl 1088.65108
Brenner, Susanne C.; Wang, Kening
16
2005
Convergence of nonconforming \(V\)-cycle and \(F\)-cycle multigrid algorithms for second order elliptic boundary value problems. Zbl 1052.65102
Brenner, Susanne C.
16
2004
Balancing domain decomposition for nonconforming plate elements. Zbl 0937.74060
Brenner, Susanne C.; Sung, Li-yeng
15
1999
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.
14
2016
A \(W\)-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
14
2007
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.
13
2014
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
13
2012
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Zbl 1229.65224
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y.
13
2011
A \(C^0\) interior penalty method for a von Kármán plate. Zbl 1457.65181
Brenner, Susanne C.; Neilan, Michael; Reiser, Armin; Sung, Li-Yeng
12
2017
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
12
2014
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
12
2012
Multigrid algorithms for \(C^0\) interior penalty methods. Zbl 1114.65151
Brenner, Susanne C.; Sung, Li-yeng
12
2006
A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity. Zbl 0809.73064
Brenner, Susanne C.
12
1994
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.
11
2012
An intrinsically parallel finite element method. Zbl 1203.65244
Brenner, S. C.; Gudi, T.; Owens, L.; Sung, L.-Y.
11
2010
Some nonstandard finite element estimates with applications to \(3D\) Poisson and Signorini problems. Zbl 0981.65131
Ben Belgacem, Faker; Brenner, Susanne C.
11
2001
Hodge decomposition methods for a quad-curl problem on planar domains. Zbl 1398.65290
Brenner, Susanne C.; Sun, Jiguang; Sung, Li-yeng
10
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
10
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.
10
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
10
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.
10
2011
A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Zbl 1205.65311
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
10
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
10
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.
10
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
9
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
9
2012
A nonconforming penalty method for a two-dimensional curl-curl problem. Zbl 1168.78315
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
9
2009
Two-level additive Schwarz preconditioners for nonconforming finite elements. Zbl 0817.65107
Brenner, Susanne C.
9
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.
8
2016
Multigrid methods for saddle point problems: Stokes and Lamé systems. Zbl 1298.76067
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng
8
2014
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Zbl 1065.65128
Brenner, Susanne C.
8
2004
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework. Zbl 1065.65136
Brenner, Susanne
8
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
7
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.
7
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.
7
2011
Nonconforming Maxwell eigensolvers. Zbl 1203.65236
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
7
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
6
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
6
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.
6
2013
Lower bounds for two-level additive Schwarz preconditioners with small overlap. Zbl 0959.65062
Brenner, Susanne C.
6
2000
Overcoming corner singularities using multigrid methods. Zbl 0914.65117
Brenner, Susanne C.
6
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
5
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
5
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
5
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
5
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
4
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
4
2003
Preconditioning complicated finite elements by simple finite elements. Zbl 0857.65114
Brenner, Susanne C.
4
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.
3
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
3
2018
Multigrid methods for saddle point problems: Oseen system. Zbl 1402.65176
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng
3
2017
An additive analysis of multiplicative Schwarz methods. Zbl 1271.65147
Brenner, Susanne C.
3
2013
An iterative substructuring algorithm for a \(C^{0}\) interior penalty method. Zbl 1321.65181
Brenner, Susanne C.; Wang, Kening
3
2012
An additive Schwarz preconditioner for the FETI method. Zbl 1030.65115
Brenner, Susanne C.
3
2003
Smoothers, mesh dependent norms, interpolation and multigrid. Zbl 1022.65134
Brenner, Susanne C.
3
2002
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Zbl 0974.65114
Brenner, Susanne C.; Sung, Li-Yeng
3
2000
A two-level additive Schwarz preconditioner for macro-element approximations of the plate bending problem. Zbl 0838.73069
Brenner, Susanne C.
3
1995
Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. Zbl 1458.65145
Brenner, Susanne C.; Kawecki, Ellya L.
2
2021
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
2
2020
Virtual enriching operators. Zbl 07142733
Brenner, Susanne C.; Sung, Li-Yeng
2
2019
Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. Zbl 1458.65145
Brenner, Susanne C.; Kawecki, Ellya L.
2
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.
3
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
2
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
1
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
6
2019
Virtual enriching operators. Zbl 07142733
Brenner, Susanne C.; Sung, Li-Yeng
2
2019
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
1
2019
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
22
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
5
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
5
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
3
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
2
2018
Additive Schwarz preconditioners for the obstacle problem of clamped Kirchhoff plates. Zbl 1408.65084
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-Yeng
1
2018
Multigrid methods for \(H(\text{div})\) in three dimensions with nonoverlapping domain decomposition smoothers. Zbl 06987013
Brenner, Susanne C.; Oh, Duk-Soon
1
2018
Multigrid methods for saddle point problems: Darcy systems. Zbl 1408.76361
Brenner, Susanne C.; Oh, Duk-Soon; Sung, Li-Yeng
1
2018
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
18
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
12
2017
Hodge decomposition methods for a quad-curl problem on planar domains. Zbl 1398.65290
Brenner, Susanne C.; Sun, Jiguang; Sung, Li-yeng
10
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
10
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.
10
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
7
2017
Multigrid methods for saddle point problems: Oseen system. Zbl 1402.65176
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng
3
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
1
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
1
2017
A BDDC preconditioner for a symmetric interior penalty Galerkin method. Zbl 1368.65230
Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
1
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.
14
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.
8
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.)
1
2016
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
20
2015
\(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguan
18
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
6
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
2
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
1
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.
13
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
12
2014
Multigrid methods for saddle point problems: Stokes and Lamé systems. Zbl 1298.76067
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng
8
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.
7
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
5
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
5
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
21
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
10
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
9
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.
6
2013
An additive analysis of multiplicative Schwarz methods. Zbl 1271.65147
Brenner, Susanne C.
3
2013
\(C^{0}\) interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
25
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
24
2012
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
22
2012
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
17
2012
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
13
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
12
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.
11
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
9
2012
An iterative substructuring algorithm for a \(C^{0}\) interior penalty method. Zbl 1321.65181
Brenner, Susanne C.; Wang, Kening
3
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
41
2011
A \(\mathcal C^0\) interior penalty method for a fourth order elliptic singular perturbation problem. Zbl 1225.65108
Brenner, Susanne C.; Neilan, Michael
24
2011
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Zbl 1229.65224
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y.
13
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.
10
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.
7
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
33
2010
An intrinsically parallel finite element method. Zbl 1203.65244
Brenner, S. C.; Gudi, T.; Owens, L.; Sung, L.-Y.
11
2010
A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Zbl 1205.65311
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
10
2010
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
22
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
10
2009
A nonconforming penalty method for a two-dimensional curl-curl problem. Zbl 1168.78315
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
9
2009
Nonconforming Maxwell eigensolvers. Zbl 1203.65236
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
7
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
4
2009
The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042
Brenner, Susanne C.; Scott, L. Ridgway
991
2008
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
40
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
30
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.
21
2008
A functional analytic framework for BDDC and FETI-DP. Zbl 1140.65362
Brenner, Susanne C.
1
2008
BDDC and FETI-DP without matrices or vectors. Zbl 1173.65363
Brenner, Susanne C.; Sung, Li-Yeng
42
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
28
2007
A weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
Brenner, Susanne C.; Owens, Luke
17
2007
A \(W\)-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
14
2007
Multigrid algorithms for \(C^0\) interior penalty methods. Zbl 1114.65151
Brenner, Susanne C.; Sung, Li-yeng
12
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
117
2005
Convergence of multigrid algorithms for interior penalty methods. Zbl 1073.65117
Brenner, Susanne C.; Zhao, Jie
26
2005
Two-level additive Schwarz preconditioners for \(C^0\) interior penalty methods. Zbl 1088.65108
Brenner, Susanne C.; Wang, Kening
16
2005
Korn’s inequalities for piecewise \(H^1\) vector fields. Zbl 1055.65118
Brenner, Susanne C.
123
2004
Poincaré–Friedrichs inequalities for piecewise \(H^2\) functions. Zbl 1072.65147
Brenner, Susanne C.; Wang, Kening; Zhao, Jie
26
2004
Convergence of nonconforming \(V\)-cycle and \(F\)-cycle multigrid algorithms for second order elliptic boundary value problems. Zbl 1052.65102
Brenner, Susanne C.
16
2004
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Zbl 1065.65128
Brenner, Susanne C.
8
2004
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
191
2003
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework. Zbl 1065.65136
Brenner, Susanne
8
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
4
2003
An additive Schwarz preconditioner for the FETI method. Zbl 1030.65115
Brenner, Susanne C.
3
2003
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Zbl 1054.65043
Brenner, Susanne C.; He, Qingmi
2
2003
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
426
2002
Convergence of the multigrid \(V\)-cycle algorithm for second-order boundary value problems without full elliptic regularity. Zbl 0990.65121
Brenner, Susanne C.
19
2002
Smoothers, mesh dependent norms, interpolation and multigrid. Zbl 1022.65134
Brenner, Susanne C.
3
2002
A new look at FETI. Zbl 1026.65096
Brenner, Susanne C.
1
2002
Some nonstandard finite element estimates with applications to \(3D\) Poisson and Signorini problems. Zbl 0981.65131
Ben Belgacem, Faker; Brenner, Susanne C.
11
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.
1
2001
Lower bounds for two-level additive Schwarz preconditioners with small overlap. Zbl 0959.65062
Brenner, Susanne C.
6
2000
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Zbl 0974.65114
Brenner, Susanne C.; Sung, Li-Yeng
3
2000
Discrete Sobolev and Poincaré inequalities via Fourier series. Zbl 0963.65113
Brenner, S. C.; Sung, L.-Y.
2
2000
Convergence of nonconforming multigrid methods without full elliptic regularity. Zbl 0912.65099
Brenner, Susanne C.
35
1999
Multigrid methods for the computation of singular solutions and stress intensity factors. I: Corner singularities. Zbl 1043.65136
Brenner, Susanne C.
30
1999
The condition number of the Schur complement in domain decomposition. Zbl 0936.65141
Brenner, Susanne C.
20
1999
...and 21 more Documents
all top 5

Cited by 3,295 Authors

79 Brenner, Susanne Cecelia
63 Carstensen, Carsten
35 Huang, Yunqing
34 Huang, Jianguo
31 Li, Jichun
30 Beirão da Veiga, Lourenço
30 Chen, Shaochun
30 Gudi, Thirupathi
29 Larson, Mats G.
29 Zhang, Shangyou
28 Sung, Li-Yeng
27 Neilan, Michael
25 Yang, Yidu
25 Zhang, Zhimin
24 Han, Weimin
24 Xie, Hehu
23 Feng, Xiaobing
22 Antonietti, Paola Francesca
22 Girault, Vivette
22 Lamichhane, Bishnu Prasad
22 Rebholz, Leo G.
22 Ye, Xiu
21 Nochetto, Ricardo Horacio
21 Shi, Zhongci
21 Sung, Liyeng
20 Bi, Hai
20 Hansbo, Peter
20 Huang, Xuehai
20 Nataraj, Neela
20 Shi, Dongyang
19 Li, Hengguang
18 Chen, Jinru
18 Mao, Shipeng
17 Badia, Santiago
17 Chung, Tsz Shun Eric
17 Xu, Xuejun
17 Yang, Suh-Yuh
16 Di Pietro, Daniele Antonio
16 Gedicke, Joscha
16 Hu, Jun
16 Mu, Lin
16 Vabishchevich, Pëtr Nikolaevich
16 Xu, Jinchao
15 Bacuta, Constantin
15 Burman, Erik
15 Casas, Eduardo
15 Cockburn, Bernardo
15 Pani, Amiya Kumar
15 Peterseim, Daniel
15 Wohlmuth, Barbara I.
14 Bartels, Sören
14 Codina, Ramon
14 Duan, Huoyuan
14 Hiptmair, Ralf
14 Marcinkowski, Leszek
14 Scott, Larkin Ridgway
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 Mora, David
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
11 Zikatanov, Ludmil T.
10 Chen, Zhangxin
10 Ciarlet, Patrick jun.
10 Deka, Bhupen
10 Droniou, Jérôme
10 Ern, Alexandre
10 Gallistl, Dietmar
10 Guzmán, Johnny
10 Han, Jiayu
10 Kwak, Do Young
...and 3,195 more Authors
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Cited in 237 Serials

267 Computer Methods in Applied Mechanics and Engineering
243 Journal of Computational and Applied Mathematics
230 Mathematics of Computation
226 Journal of Scientific Computing
207 Numerische Mathematik
155 Computers & Mathematics with Applications
121 SIAM Journal on Numerical Analysis
118 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
72 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
56 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
30 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
17 Computational Geosciences
16 Applications of Mathematics
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 Discrete and Continuous Dynamical Systems. Series B
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
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 Acta Applicandae Mathematicae
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 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 Journal of Mathematical Fluid Mechanics
3 Lobachevskii Journal of Mathematics
...and 137 more Serials
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Cited in 45 Fields

2,686 Numerical analysis (65-XX)
1,448 Partial differential equations (35-XX)
647 Fluid mechanics (76-XX)
562 Mechanics of deformable solids (74-XX)
195 Calculus of variations and optimal control; optimization (49-XX)
153 Optics, electromagnetic theory (78-XX)
72 Approximations and expansions (41-XX)
58 Probability theory and stochastic processes (60-XX)
48 Biology and other natural sciences (92-XX)
45 Functional analysis (46-XX)
43 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)
22 Operator theory (47-XX)
22 Operations research, mathematical programming (90-XX)
21 Classical thermodynamics, heat transfer (80-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Systems theory; control (93-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Computer science (68-XX)
14 Quantum theory (81-XX)
12 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)
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2 Measure and integration (28-XX)
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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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