Susanne C. Brenner

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 32

Top Topics

Numerical Methods

Optimal Control

Top Venues

Comput. Methods Appl. Math.

J. Sci. Comput.

J. Comput. Appl. Math.

Publications

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) (2024)
Susanne C. Brenner, SeongHee Jeong, Li-Yeng Sung, Zhiyu Tan
interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints. Comput. Math. Appl. 155 (2024)
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) (2023)
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 (2023)
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) (2023)
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) (2022)
Susanne C. Brenner, Sijing Liu, Li-Yeng Sung
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) (2021)
Susanne C. Brenner, José C. Garay, Li-Yeng Sung
Multiscale Finite Element Methods for an Elliptic Optimal Control Problem with Rough Coefficients. CoRR (2021)
Susanne C. Brenner, Li-Yeng Sung, Zhiyu Tan, Hongchao Zhang
interior penalty method for the Monge-Ampère equation on convex polygonal domains. Numerische Mathematik 148 (3) (2021)
Susanne C. Brenner, Ellya L. Kawecki
Adaptive C0 interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients. J. Comput. Appl. Math. 388 (2021)
Susanne C. Brenner, Li-Yeng Sung, Winnifried Wollner
A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints. CoRR (2020)
Susanne C. Brenner, Sijing Liu, Li-Yeng Sung
Multigrid methods for saddle point problems: Optimality systems. J. Comput. Appl. Math. 372 (2020)
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 (2020)
Susanne C. Brenner
Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints. CoRR (2020)
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)
Susanne C. Brenner
A General Superapproximation Result. CoRR (2020)
Susanne C. Brenner
A General Superapproximation Result. Comput. Methods Appl. Math. 20 (4) (2020)
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 (2019)
Susanne C. Brenner, Ellya L. Kawecki
interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients. CoRR (2019)
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) (2019)
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)
Susanne C. Brenner, Duk-Soon Oh, Li-Yeng Sung
Multigrid methods for saddle point problems: Darcy systems. Numerische Mathematik 138 (2) (2018)
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) (2018)
Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung
Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints. SIAM J. Numer. Anal. 56 (3) (2018)
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) (2018)
Susanne C. Brenner, Qingguang Guan, Li-Yeng Sung
Some Estimates for Virtual Element Methods. Comput. Methods Appl. Math. 17 (4) (2017)
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) (2017)
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) (2017)
Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung, Yi Zhang
Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates. SIAM J. Numer. Anal. 55 (1) (2017)
Susanne C. Brenner, Hengguang Li, Li-Yeng Sung
Multigrid methods for saddle point problems: Oseen system. Comput. Math. Appl. 74 (9) (2017)
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) (2017)
Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung
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) (2016)
Susanne C. Brenner, Li-Yeng Sung
functions and vector fields associated with meshes generated by independent refinements. Math. Comput. 84 (293) (2015)
Susanne C. Brenner, Hengguang Li, Li-Yeng Sung
Multigrid methods for saddle point problems: Stokes and Lamé systems. Numerische Mathematik 128 (2) (2014)
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 (2014)
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) (2014)
Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung
Finite Element Method for Two-Dimensional Maxwell's Equations. J. Sci. Comput. 55 (3) (2013)
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) (2013)
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 (2013)
Susanne C. Brenner
An additive analysis of multiplicative Schwarz methods. Numerische Mathematik 123 (1) (2013)
Susanne C. Brenner, Shiyuan Gu, Thirupathi Gudi, Li-Yeng Sung
Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn-Hilliard Type. SIAM J. Numer. Anal. 50 (4) (2012)
Susanne C. Brenner, Luke Owens, Li-Yeng Sung
Higher order weakly over-penalized symmetric interior penalty methods. J. Comput. Appl. Math. 236 (11) (2012)
Susanne C. Brenner, Li-Yeng Sung, Yi Zhang
Finite element methods for the displacement obstacle problem of clamped plates. Math. Comput. 81 (279) (2012)
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) (2012)
Susanne C. Brenner, Li-Yeng Sung, Hongchao Zhang, Yi Zhang
Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates. SIAM J. Numer. Anal. 50 (6) (2012)
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) (2012)
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) (2011)
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) (2011)
Susanne C. Brenner, Michael Neilan
Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem. SIAM J. Numer. Anal. 49 (2) (2011)
Susanne C. Brenner, Thirupathi Gudi, Michael Neilan, Li-Yeng Sung
penalty methods for the fully nonlinear Monge-Ampère equation. Math. Comput. 80 (276) (2011)
Susanne C. Brenner, Jintao Cui, Thirupathi Gudi, Li-Yeng Sung
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Numerische Mathematik 119 (1) (2011)
Susanne C. Brenner, Thirupathi Gudi, Luke Owens, Li-Yeng Sung
An Intrinsically Parallel Finite Element Method. J. Sci. Comput. 42 (1) (2010)
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) (2009)
Susanne C. Brenner, Fengyan Li, Li-Yeng Sung
Nonconforming Maxwell Eigensolvers. J. Sci. Comput. 40 (1-3) (2009)
Susanne C. Brenner, Thirupathi Gudi, Li-Yeng Sung
Error Control for a Weakly Over-Penalized Symmetric Interior Penalty Method. J. Sci. Comput. 40 (1-3) (2009)
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) (2009)
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) (2008)
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) (2008)
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) (2007)
Susanne C. Brenner, Li-Yeng Sung
Multigrid Algorithms for C0 Interior Penalty Methods. SIAM J. Numer. Anal. 44 (1) (2006)
Susanne C. Brenner, Li-Yeng Sung
Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains. J. Sci. Comput. 22 (1) (2005)
Susanne C. Brenner, Kening Wang
interior penalty methods. Numerische Mathematik 102 (2) (2005)
Susanne C. Brenner
-cycle multigrid algorithms for second order elliptic boundary value problems. Math. Comput. 73 (247) (2004)
Susanne C. Brenner
vector fields. Math. Comput. 73 (247) (2004)
Susanne C. Brenner
Functions. SIAM J. Numer. Anal. 41 (1) (2003)
Susanne C. Brenner
An additive Schwarz preconditioner for the FETI method. Numerische Mathematik 94 (1) (2003)
Susanne C. Brenner, Qingmi He
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms. Numerische Mathematik 93 (3) (2003)
Susanne C. Brenner
Convergence of the multigrid V-cycle algorithm for second-order boundary value problems without full elliptic regularity. Math. Comput. 71 (238) (2002)
Susanne C. Brenner, Li-Yeng Sung
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. Math. Comput. 69 (232) (2000)
Susanne C. Brenner
Lower Bounds for Two-Level Additive Schwarz Preconditioners with Small Overlap. SIAM J. Sci. Comput. 21 (5) (2000)
Susanne C. Brenner
The condition number of the Schur complement in domain decomposition. Numerische Mathematik 83 (2) (1999)
Susanne C. Brenner
Convergence of nonconforming multigrid methods without full elliptic regularity. Math. Comput. 68 (225) (1999)
Susanne C. Brenner, Li-Yeng Sung
Balancing domain decomposition for nonconforming plate elements. Numerische Mathematik 83 (1) (1999)
Susanne C. Brenner
Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities. Math. Comput. 68 (226) (1999)
Susanne C. Brenner
Two-level additive Schwarz preconditioners for nonconforming finite element methods. Math. Comput. 65 (215) (1996)
Susanne C. Brenner
Preconditioning Complicated Finite Elements by Simple Finite Elements. SIAM J. Sci. Comput. 17 (5) (1996)
Susanne C. Brenner
A two-level additive Schwarz preconditioner for the stationary Stokes equations. Adv. Comput. Math. 4 (1) (1995)