×

Brenner, Susanne Cecelia

Compute Distance To:
Author ID: brenner.susanne-c Recent zbMATH articles by "Brenner, Susanne Cecelia"
Published as: Brenner, Susanne C.; Brenner, S. C.; Brenner, Susanne; Brenner, Susanne Cecelia
Homepage: https://www.math.lsu.edu/~brenner/
External Links: MGP · Wikidata · GND · IdRef
all top 5

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

Publications by Year

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
938
1994
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
451
2002
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
219
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
151
2005
Korn’s inequalities for piecewise \(H^1\) vector fields. Zbl 1055.65118
Brenner, Susanne C.
145
2004
Linear finite element methods for planar linear elasticity. Zbl 0766.73060
Brenner, Susanne C.; Sung, Li-Yeng
102
1992
Two-level additive Schwarz preconditioners for nonconforming finite element methods. Zbl 0859.65124
Brenner, Susanne C.
61
1996
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
60
2018
BDDC and FETI-DP without matrices or vectors. Zbl 1173.65363
Brenner, Susanne C.; Sung, Li-Yeng
46
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
46
2011
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
45
2017
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
44
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
40
2010
Convergence of nonconforming multigrid methods without full elliptic regularity. Zbl 0912.65099
Brenner, Susanne C.
40
1999
An optimal-order multigrid method for P1 nonconforming finite elements. Zbl 0664.65103
Brenner, Susanne C.
38
1989
A two-level additive Schwarz preconditioner for nonconforming plate elements. Zbl 0855.73071
Brenner, Susanne C.
36
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
35
2008
A multigrid algorithm for the lowest-order Raviart-Thomas mixed triangular finite element method. Zbl 0759.65080
Brenner, Susanne C.
33
1992
Multigrid methods for the computation of singular solutions and stress intensity factors. I: Corner singularities. Zbl 1043.65136
Brenner, Susanne C.
33
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
32
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
31
2012
Poincaré–Friedrichs inequalities for piecewise \(H^2\) functions. Zbl 1072.65147
Brenner, Susanne C.; Wang, Kening; Zhao, Jie
30
2004
An optimal-order nonconforming multigrid method for the biharmonic equation. Zbl 0679.65083
Brenner, Susanne C.
29
1989
Convergence of multigrid algorithms for interior penalty methods. Zbl 1073.65117
Brenner, Susanne C.; Zhao, Jie
29
2005
A \(\mathcal C^0\) interior penalty method for a fourth order elliptic singular perturbation problem. Zbl 1225.65108
Brenner, Susanne C.; Neilan, Michael
29
2011
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
28
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
28
2013
\(C^{0}\) interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
27
2012
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
26
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.
25
2008
\(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguang
24
2015
A nonconforming mixed multigrid method for the pure displacement problem in planar linear elasticity. Zbl 0767.73068
Brenner, Susanne C.
24
1993
The condition number of the Schur complement in domain decomposition. Zbl 0936.65141
Brenner, Susanne C.
24
1999
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
23
2009
Multigrid methods for parameter dependent problems. Zbl 0848.73062
Brenner, Susanne C.
22
1996
Hodge decomposition methods for a quad-curl problem on planar domains. Zbl 1398.65290
Brenner, Susanne C.; Sun, Jiguang; Sung, Li-yeng
21
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
20
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.
19
2012
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
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.
19
2016
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
19
2012
A nonconforming multigrid method for the stationary Stokes equations. Zbl 0705.76027
Brenner, Susanne C.
18
1990
Convergence of nonconforming \(V\)-cycle and \(F\)-cycle multigrid algorithms for second order elliptic boundary value problems. Zbl 1052.65102
Brenner, Susanne C.
18
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.
17
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
17
2017
Two-level additive Schwarz preconditioners for \(C^0\) interior penalty methods. Zbl 1088.65108
Brenner, Susanne C.; Wang, Kening
16
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
15
2014
A \(W\)-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
15
2007
Balancing domain decomposition for nonconforming plate elements. Zbl 0937.74060
Brenner, Susanne C.; Sung, Li-yeng
15
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
15
2012
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Zbl 1229.65224
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y.
15
2011
Multigrid algorithms for \(C^0\) interior penalty methods. Zbl 1114.65151
Brenner, Susanne C.; Sung, Li-yeng
14
2006
A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Zbl 1205.65311
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
14
2010
A weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
Brenner, Susanne C.; Owens, Luke
14
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.
14
2017
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
13
2012
A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity. Zbl 0809.73064
Brenner, Susanne C.
13
1994
Two-level additive Schwarz preconditioners for nonconforming finite elements. Zbl 0817.65107
Brenner, Susanne C.
13
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.
11
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
11
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
11
2009
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
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.
11
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.
11
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
11
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
Multigrid methods for saddle point problems: Stokes and Lamé systems. Zbl 1298.76067
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng
10
2014
A nonconforming penalty method for a two-dimensional curl-curl problem. Zbl 1168.78315
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
10
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
9
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
9
2018
Nonconforming Maxwell eigensolvers. Zbl 1203.65236
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
9
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
9
2019
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Zbl 1065.65128
Brenner, Susanne C.
9
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
8
2017
Virtual enriching operators. Zbl 1471.65192
Brenner, Susanne C.; Sung, Li-Yeng
8
2019
Overcoming corner singularities using multigrid methods. Zbl 0914.65117
Brenner, Susanne C.
7
1998
Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. Zbl 1458.65145
Brenner, Susanne C.; Kawecki, Ellya L.
7
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.
7
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
7
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.
7
2011
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
7
2019
Lower bounds for two-level additive Schwarz preconditioners with small overlap. Zbl 0959.65062
Brenner, Susanne C.
6
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.
6
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
6
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
6
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.
5
2020
Preconditioning complicated finite elements by simple finite elements. Zbl 0857.65114
Brenner, Susanne C.
4
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
4
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
4
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 saddle point problems: Oseen system. Zbl 1402.65176
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng
3
2017
A two-level additive Schwarz preconditioner for macro-element approximations of the plate bending problem. Zbl 0838.73069
Brenner, Susanne C.
3
1995
An iterative substructuring algorithm for a \(C^{0}\) interior penalty method. Zbl 1321.65181
Brenner, Susanne C.; Wang, Kening
3
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
3
2018
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Zbl 0974.65114
Brenner, Susanne C.; Sung, Li-Yeng
3
2000
Smoothers, mesh dependent norms, interpolation and multigrid. Zbl 1022.65134
Brenner, Susanne C.
3
2002
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Zbl 1054.65043
Brenner, Susanne C.; He, Qingmi
3
2003
Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. Zbl 1458.65145
Brenner, Susanne C.; Kawecki, Ellya L.
7
2021
Additive Schwarz preconditioners for a localized orthogonal decomposition method. Zbl 1473.65337
Brenner, Susanne C.; Garay, José C.; Sung, Li-Yeng
1
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
1
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.
5
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
3
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
3
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
1
2020
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (survey). Zbl 1440.49037
Brenner, Susanne C.
1
2020
A one dimensional elliptic distributed optimal control problem with pointwise derivative constraints. Zbl 1447.49001
Brenner, Susanne C.; Sung, Li-yeng; Wollner, Winnifried
1
2020
Multigrid methods for saddle point problems: optimality systems. Zbl 1433.49003
Brenner, Susanne C.; Liu, Sijing; Sung, Li-yeng
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
9
2019
Virtual enriching operators. Zbl 1471.65192
Brenner, Susanne C.; Sung, Li-Yeng
8
2019
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
7
2019
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
60
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
9
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
9
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
6
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
3
2018
Multigrid methods for saddle point problems: Darcy systems. Zbl 1408.76361
Brenner, Susanne C.; Oh, Duk-Soon; Sung, Li-Yeng
3
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
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
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
45
2017
Hodge decomposition methods for a quad-curl problem on planar domains. Zbl 1398.65290
Brenner, Susanne C.; Sun, Jiguang; Sung, Li-yeng
21
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
20
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
17
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.
14
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
8
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.
19
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.
11
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
1
2016
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
28
2015
\(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguang
24
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
7
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.
17
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
15
2014
Multigrid methods for saddle point problems: Stokes and Lamé systems. Zbl 1298.76067
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng
10
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.
6
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
6
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
4
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
28
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
11
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
An adaptive \(P_1\) finite element method for two-dimensional Maxwell’s equations. Zbl 1266.78027
Brenner, S. C.; Gedicke, J.; Sung, L.-Y.
7
2013
An additive analysis of multiplicative Schwarz methods. Zbl 1271.65147
Brenner, Susanne C.
3
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
31
2012
\(C^{0}\) interior penalty methods. Zbl 1248.65120
Brenner, Susanne C.
27
2012
Finite element methods for the displacement obstacle problem of clamped plates. Zbl 1250.74023
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
26
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.
19
2012
Finite element approximations of the three dimensional Monge-Ampère equation. Zbl 1272.65088
Brenner, Susanne Cecelia; Neilan, Michael
19
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
15
2012
Higher order weakly over-penalized symmetric interior penalty methods. Zbl 1273.65174
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
13
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
11
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
46
2011
A \(\mathcal C^0\) interior penalty method for a fourth order elliptic singular perturbation problem. Zbl 1225.65108
Brenner, Susanne C.; Neilan, Michael
29
2011
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Zbl 1229.65224
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y.
15
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.
11
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
40
2010
A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Zbl 1205.65311
Brenner, Susanne C.; Gudi, Thirupathi; Sung, Li-Yeng
14
2010
An intrinsically parallel finite element method. Zbl 1203.65244
Brenner, S. C.; Gudi, T.; Owens, L.; Sung, L.-Y.
11
2010
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
23
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
11
2009
A nonconforming penalty method for a two-dimensional curl-curl problem. Zbl 1168.78315
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
10
2009
Nonconforming Maxwell eigensolvers. Zbl 1203.65236
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng
9
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
2008
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
44
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
35
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.
25
2008
BDDC and FETI-DP without matrices or vectors. Zbl 1173.65363
Brenner, Susanne C.; Sung, Li-Yeng
46
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
32
2007
A \(W\)-cycle algorithm for a weakly over-penalized interior penalty method. Zbl 1173.65368
Brenner, Susanne C.; Owens, Luke
15
2007
A weakly over-penalized non-symmetric interior penalty method. Zbl 1145.65095
Brenner, Susanne C.; Owens, Luke
14
2007
Multigrid algorithms for \(C^0\) interior penalty methods. Zbl 1114.65151
Brenner, Susanne C.; Sung, Li-yeng
14
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
151
2005
Convergence of multigrid algorithms for interior penalty methods. Zbl 1073.65117
Brenner, Susanne C.; Zhao, Jie
29
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.
145
2004
Poincaré–Friedrichs inequalities for piecewise \(H^2\) functions. Zbl 1072.65147
Brenner, Susanne C.; Wang, Kening; Zhao, Jie
30
2004
Convergence of nonconforming \(V\)-cycle and \(F\)-cycle multigrid algorithms for second order elliptic boundary value problems. Zbl 1052.65102
Brenner, Susanne C.
18
2004
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Zbl 1065.65128
Brenner, Susanne C.
9
2004
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
219
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
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Zbl 1054.65043
Brenner, Susanne C.; He, Qingmi
3
2003
An additive Schwarz preconditioner for the FETI method. Zbl 1030.65115
Brenner, Susanne C.
3
2003
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
451
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.
2
2001
Lower bounds for two-level additive Schwarz preconditioners with small overlap. Zbl 0959.65062
Brenner, Susanne C.
6
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
all top 5

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
all top 5

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)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.