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ORCIDSusanne C. Brenner
Person information
- affiliation: Louisiana State University, Baton Rouge, LA, USA
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2020 – today
- 2024
[j70]Susanne C. Brenner, SeongHee Jeong, Li-Yeng Sung, Zhiyu Tan:
C0 interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints. Comput. Math. Appl. 155: 80-90 (2024)- [j69]Susanne C. Brenner, José C. Garay, Li-Yeng Sung:
A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints. J. Sci. Comput. 100(2): 47 (2024) - 2023
- [j68]Susanne C. Brenner, Li-Yeng Sung:
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains. Comput. Methods Appl. Math. 23(1): 49-63 (2023) - [j67]Susanne C. Brenner
, Joscha Gedicke, Li-Yeng Sung:
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints. Comput. Methods Appl. Math. 23(3): 565-590 (2023) - [i7]Susanne C. Brenner, José C. Garay, Li-Yeng Sung:
A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints. CoRR abs/2309.16062 (2023) - 2022
- [j66]Susanne C. Brenner, José C. Garay, Li-Yeng Sung:
Multiscale Finite Element Methods for an Elliptic Optimal Control Problem with Rough Coefficients. J. Sci. Comput. 91(3): 76 (2022) - 2021
- [j65]Susanne C. Brenner, Sijing Liu, Li-Yeng Sung:
A P1 Finite Element Method for a Distributed Elliptic Optimal Control Problem with a General State Equation and Pointwise State Constraints. Comput. Methods Appl. Math. 21(4): 777-790 (2021) - [j64]Susanne C. Brenner, Ellya L. Kawecki:
Adaptive C0 interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients. J. Comput. Appl. Math. 388: 113241 (2021) - [j63]Susanne C. Brenner, Li-Yeng Sung, Zhiyu Tan, Hongchao Zhang:
A convexity enforcing C0 interior penalty method for the Monge-Ampère equation on convex polygonal domains. Numerische Mathematik 148(3): 497-524 (2021) - [i6]Susanne C. Brenner, José C. Garay, Li-Yeng Sung:
Multiscale Finite Element Methods for an Elliptic Optimal Control Problem with Rough Coefficients. CoRR abs/2110.15885 (2021) - 2020
- [j62]Susanne C. Brenner:
A General Superapproximation Result. Comput. Methods Appl. Math. 20(4): 763-767 (2020) - [j61]Susanne C. Brenner, Amanda E. Diegel, Li-Yeng Sung:
A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation. J. Comput. Appl. Math. 364 (2020) - [j60]Susanne C. Brenner, Sijing Liu, Li-Yeng Sung:
Multigrid methods for saddle point problems: Optimality systems. J. Comput. Appl. Math. 372: 112733 (2020) - [e1]Susanne C. Brenner, Igor E. Shparlinski, Chi-Wang Shu, Daniel B. Szyld:
75 Years of Mathematics of Computation. Contemporary Mathematics 754, American Mathematical Society 2020, ISBN 978-1-4704-5163-9 [contents] - [i5]Susanne C. Brenner, Li-Yeng Sung, Winnifried Wollner:
Finite Element Methods for One Dimensional Elliptic Distributed Optimal Control Problems with Pointwise Constraints on the Derivative of the State. CoRR abs/2001.10933 (2020) - [i4]Susanne C. Brenner, Li-Yeng Sung, Winnifried Wollner:
A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints. CoRR abs/2003.08504 (2020) - [i3]Susanne C. Brenner:
A General Superapproximation Result. CoRR abs/2008.04689 (2020) - [i2]Susanne C. Brenner:
Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints. CoRR abs/2008.08141 (2020)
2010 – 2019
- 2019
- [j59]Susanne C. Brenner, Jintao Cui, Li-Yeng Sung:
Multigrid Methods Based on Hodge Decomposition for a Quad-Curl Problem. Comput. Methods Appl. Math. 19(2): 215-232 (2019) - [j58]Susanne C. Brenner, Li-Yeng Sung, Yi Zhang:
C0 interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition. J. Comput. Appl. Math. 350: 212-232 (2019) - [i1]Susanne C. Brenner, Ellya L. Kawecki:
Adaptive C0 interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients. CoRR abs/1911.05407 (2019) - 2018
- [j57]Susanne C. Brenner, Ayçil Çesmelioglu, Jintao Cui, Li-Yeng Sung:
A Nonconforming Finite Element Method for an Acoustic Fluid-Structure Interaction Problem. Comput. Methods Appl. Math. 18(3): 383-406 (2018) - [j56]Susanne C. Brenner, Amanda E. Diegel, Li-Yeng Sung:
A Robust Solver for a Mixed Finite Element Method for the Cahn-Hilliard Equation. J. Sci. Comput. 77(2): 1234-1249 (2018) - [j55]Susanne C. Brenner, Duk-Soon Oh:
Multigrid methods for H(div) in three dimensions with nonoverlapping domain decomposition smoothers. Numer. Linear Algebra Appl. 25(5) (2018) - [j54]Susanne C. Brenner, Duk-Soon Oh, Li-Yeng Sung:
Multigrid methods for saddle point problems: Darcy systems. Numerische Mathematik 138(2): 437-471 (2018) - [j53]Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung:
C0 Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints. SIAM J. Numer. Anal. 56(3): 1758-1785 (2018) - 2017
- [j52]Susanne C. Brenner, Hengguang Li, Li-Yeng Sung:
Multigrid methods for saddle point problems: Oseen system. Comput. Math. Appl. 74(9): 2056-2067 (2017) - [j51]Susanne C. Brenner, Qingguang Guan, Li-Yeng Sung:
Some Estimates for Virtual Element Methods. Comput. Methods Appl. Math. 17(4): 553-574 (2017) - [j50]Susanne C. Brenner, Jiguang Sun, Li-Yeng Sung:
Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains. J. Sci. Comput. 73(2-3): 495-513 (2017) - [j49]Susanne C. Brenner, Michael Neilan, Armin Reiser, Li-Yeng Sung:
A \(C^0\) interior penalty method for a von Kármán plate. Numerische Mathematik 135(3): 803-832 (2017) - [j48]Susanne C. Brenner, Li-Yeng Sung:
A New Convergence Analysis of Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints. SIAM J. Control. Optim. 55(4): 2289-2304 (2017) - [j47]Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung, Yi Zhang:
An A Posteriori Analysis of C0 Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates. SIAM J. Numer. Anal. 55(1): 87-108 (2017) - 2016
- [j46]Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung:
An Adaptive P1 Finite Element Method for Two-Dimensional Transverse Magnetic Time Harmonic Maxwell's Equations with General Material Properties and General Boundary Conditions. J. Sci. Comput. 68(2): 848-863 (2016) - 2015
- [j45]Susanne C. Brenner, Li-Yeng Sung:
Piecewise H1 functions and vector fields associated with meshes generated by independent refinements. Math. Comput. 84(293): 1017-1036 (2015) - 2014
- [j44]Susanne C. Brenner, Christopher B. Davis, Li-Yeng Sung:
A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates. J. Comput. Appl. Math. 265: 3-16 (2014) - [j43]Andrew T. Barker, Susanne C. Brenner:
A Mixed Finite Element Method for the Stokes Equations Based on a Weakly Over-Penalized Symmetric Interior Penalty Approach. J. Sci. Comput. 58(2): 290-307 (2014) - [j42]Susanne C. Brenner, Hengguang Li, Li-Yeng Sung:
Multigrid methods for saddle point problems: Stokes and Lamé systems. Numerische Mathematik 128(2): 193-216 (2014) - 2013
- [j41]Susanne C. Brenner, Li-Yeng Sung, Hongchao Zhang, Yi Zhang:
A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates. J. Comput. Appl. Math. 254: 31-42 (2013) - [j40]Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung:
An Adaptive P1 Finite Element Method for Two-Dimensional Maxwell's Equations. J. Sci. Comput. 55(3): 738-754 (2013) - [j39]Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung:
A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method. Numer. Linear Algebra Appl. 20(3): 472-491 (2013) - [j38]Susanne C. Brenner:
An additive analysis of multiplicative Schwarz methods. Numerische Mathematik 123(1): 1-19 (2013) - [p2]Susanne C. Brenner, Shiyuan Gu, Li-Yeng Sung:
Multigrid Methods for the Biharmonic Problem with Cahn-Hilliard Boundary Conditions. Domain Decomposition Methods in Science and Engineering XX 2013: 127-134 - [p1]Andrew T. Barker, Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung:
A Nonoverlapping DD Preconditioner for a Weakly Over-Penalized Symmetric Interior Penalty Method. Domain Decomposition Methods in Science and Engineering XX 2013: 247-254 - 2012
- [j37]Paola F. Antonietti, Blanca Ayuso de Dios, Susanne C. Brenner, Li-Yeng Sung:
Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems. Comput. Methods Appl. Math. 12(3): 241-272 (2012) - [j36]Susanne C. Brenner, Luke Owens, Li-Yeng Sung:
Higher order weakly over-penalized symmetric interior penalty methods. J. Comput. Appl. Math. 236(11): 2883-2894 (2012) - [j35]Susanne C. Brenner, Jintao Cui, Zhe Nan, Li-Yeng Sung:
Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell's equations. Math. Comput. 81(278): 643-659 (2012) - [j34]Susanne C. Brenner, Li-Yeng Sung, Yi Zhang:
Finite element methods for the displacement obstacle problem of clamped plates. Math. Comput. 81(279): 1247-1262 (2012) - [j33]Susanne C. Brenner, Shiyuan Gu, Thirupathi Gudi, Li-Yeng Sung:
A Quadratic C0 Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn-Hilliard Type. SIAM J. Numer. Anal. 50(4): 2088-2110 (2012) - [j32]Susanne C. Brenner, Li-Yeng Sung, Hongchao Zhang, Yi Zhang:
A Quadratic C0 Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates. SIAM J. Numer. Anal. 50(6): 3329-3350 (2012) - 2011
- [j31]Andrew T. Barker, Susanne C. Brenner, Li-Yeng Sung:
Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. J. Num. Math. 19(3): 165-187 (2011) - [j30]Andrew T. Barker, Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung:
Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method. J. Sci. Comput. 47(1): 27-49 (2011) - [j29]Susanne C. Brenner, Thirupathi Gudi, Michael Neilan, Li-Yeng Sung:
C0 penalty methods for the fully nonlinear Monge-Ampère equation. Math. Comput. 80(276): 1979-1995 (2011) - [j28]Susanne C. Brenner, Jintao Cui, Thirupathi Gudi, Li-Yeng Sung:
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Numerische Mathematik 119(1): 21-47 (2011) - [j27]Susanne C. Brenner, Michael Neilan:
A C0 Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem. SIAM J. Numer. Anal. 49(2): 869-892 (2011) - 2010
- [j26]Susanne C. Brenner, Thirupathi Gudi, Luke Owens, Li-Yeng Sung:
An Intrinsically Parallel Finite Element Method. J. Sci. Comput. 42(1): 118-121 (2010)
2000 – 2009
- 2009
- [j25]Susanne C. Brenner, Li-Yeng Sung:
A quadratic nonconforming vector finite element for H(curl;Omega) cap H(div; Omega). Appl. Math. Lett. 22(6): 892-896 (2009) - [j24]Susanne C. Brenner, Thirupathi Gudi, Li-Yeng Sung:
A Posteriori Error Control for a Weakly Over-Penalized Symmetric Interior Penalty Method. J. Sci. Comput. 40(1-3): 37-50 (2009) - [j23]Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
Nonconforming Maxwell Eigensolvers. J. Sci. Comput. 40(1-3): 51-85 (2009) - [j22]Susanne C. Brenner, Jintao Cui, Li-Yeng Sung:
Multigrid methods for the symmetric interior penalty method on graded meshes. Numer. Linear Algebra Appl. 16(6): 481-501 (2009) - 2008
- [j21]Susanne C. Brenner, Jintao Cui, Fengyan Li, Li-Yeng Sung:
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. Numerische Mathematik 109(4): 509-533 (2008) - [j20]Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems. SIAM J. Numer. Anal. 46(3): 1190-1211 (2008) - 2007
- [j19]Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations. Math. Comput. 76(258): 573-595 (2007) - 2006
- [j18]Susanne C. Brenner, Li-Yeng Sung:
Multigrid Algorithms for C0 Interior Penalty Methods. SIAM J. Numer. Anal. 44(1): 199-223 (2006) - 2005
- [j17]Susanne C. Brenner, Li-Yeng Sung:
C0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains. J. Sci. Comput. 22(1): 83-118 (2005) - [j16]Susanne C. Brenner, Kening Wang:
Two-level additive Schwarz preconditioners for C 0 interior penalty methods. Numerische Mathematik 102(2): 231-255 (2005) - 2004
- [j15]Susanne C. Brenner:
Convergence of nonconforming V-cycle and F-cycle multigrid algorithms for second order elliptic boundary value problems. Math. Comput. 73(247): 1041-1066 (2004) - [j14]Susanne C. Brenner:
Korn's inequalities for piecewise H1 vector fields. Math. Comput. 73(247): 1067-1087 (2004) - 2003
- [j13]Susanne C. Brenner, Qingmi He:
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Numerische Mathematik 93(3): 445-470 (2003) - [j12]Susanne C. Brenner:
An additive Schwarz preconditioner for the FETI method. Numerische Mathematik 94(1): 1-31 (2003) - [j11]Susanne C. Brenner:
Poincaré-Friedrichs Inequalities for Piecewise H1 Functions. SIAM J. Numer. Anal. 41(1): 306-324 (2003) - 2002
- [j10]Susanne C. Brenner:
Convergence of the multigrid V-cycle algorithm for second-order boundary value problems without full elliptic regularity. Math. Comput. 71(238): 507-525 (2002) - 2000
- [j9]Susanne C. Brenner, Li-Yeng Sung:
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Math. Comput. 69(232): 1319-1339 (2000) - [j8]Susanne C. Brenner:
Lower Bounds for Two-Level Additive Schwarz Preconditioners with Small Overlap. SIAM J. Sci. Comput. 21(5): 1657-1669 (2000)
1990 – 1999
- 1999
- [j7]Susanne C. Brenner:
Convergence of nonconforming multigrid methods without full elliptic regularity. Math. Comput. 68(225): 25-53 (1999) - [j6]Susanne C. Brenner:
Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities. Math. Comput. 68(226): 559-583 (1999) - [j5]Susanne C. Brenner, Li-Yeng Sung:
Balancing domain decomposition for nonconforming plate elements. Numerische Mathematik 83(1): 25-52 (1999) - [j4]Susanne C. Brenner:
The condition number of the Schur complement in domain decomposition. Numerische Mathematik 83(2): 187-203 (1999) - 1996
- [j3]Susanne C. Brenner:
Two-level additive Schwarz preconditioners for nonconforming finite element methods. Math. Comput. 65(215): 897-921 (1996) - [j2]Susanne C. Brenner:
Preconditioning Complicated Finite Elements by Simple Finite Elements. SIAM J. Sci. Comput. 17(5): 1269-1274 (1996) - 1995
- [j1]Susanne C. Brenner:
A two-level additive Schwarz preconditioner for the stationary Stokes equations. Adv. Comput. Math. 4(1): 111-126 (1995)
Coauthor Index
[j70] [j69] [j68] [j67] [i7] [j66] [j65] [j63] [i6] [j61] [j60] [i5] [i4] [j59] [j58] [j57] [j56] [j54] [j53] [j52] [j51] [j50] [j49] [j48] [j47] [j46] [j45] [j44] [j42] [j41] [j40] [j39] [p2] [p1] [j37] [j36] [j35] [j34] [j33] [j32] [j31] [j30] [j29] [j28] [j26] [j25] [j24] [j23] [j22] [j21] [j20] [j19] [j18] [j17] [j9] [j5]
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