Susanne C. Brenner

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Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains

Susanne C. Brenner, Jiguang Sun, Li-Yeng Sung, 2017, J. Sci. Comput..

Adaptive $C^0$ interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients. pdf

Susanne C. Brenner, Ellya L. Kawecki, S. C. Brenner, 2019, 1911.05407.

Preconditioning Complicated Finite Elements by Simple Finite Elements

Susanne C. Brenner, 1996, SIAM J. Sci. Comput..

C0 penalty methods for the fully nonlinear Monge-Ampère equation

Susanne C. Brenner, Li-Yeng Sung, Thirupathi Gudi, 2011, Math. Comput..

Topics in Numerical Partial Differential Equations and Scientific Computing

Susanne C. Brenner, 2016 .

A Mixed Finite Element Method for the Stokes Equations Based on a Weakly Over-Penalized Symmetric Interior Penalty Approach

Susanne C. Brenner, Andrew T. Barker, 2014, J. Sci. Comput..

A Quadratic C0 Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn-Hilliard Type

Susanne C. Brenner, Li-Yeng Sung, Thirupathi Gudi, 2012, SIAM J. Numer. Anal..

Korn's inequalities for piecewise H1 vector fields

Susanne C. Brenner, S. C. Brenner, S. Brenner, 2003, Math. Comput..

A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2007, Math. Comput..

A quadratic nonconforming vector finite element for H(curl;Omega) cap H(div; Omega)

Susanne C. Brenner, Li-Yeng Sung, 2009, Appl. Math. Lett..

Two-level additive Schwarz preconditioners for nonconforming finite element methods

Susanne C. Brenner, S. C. Brenner, 1996, Math. Comput..

Multigrid Methods for the Biharmonic Problem with Cahn-Hilliard Boundary Conditions

Susanne C. Brenner, Li-Yeng Sung, Shiyuan Gu, 2013, Domain Decomposition Methods in Science and Engineering XX.

An additive analysis of multiplicative Schwarz methods

Susanne C. Brenner, S. C. Brenner, 2013, Numerische Mathematik.

Multigrid methods for the symmetric interior penalty method on graded meshes

Susanne C. Brenner, Li-Yeng Sung, Jintao Cui, 2009, Numer. Linear Algebra Appl..

A Quadratic C0 Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates

Susanne C. Brenner, Yi Zhang, Li-Yeng Sung, 2012, SIAM J. Numer. Anal..

An Adaptive P1 Finite Element Method for Two-Dimensional Maxwell’s Equations

Susanne C. Brenner, Li-Yeng Sung, Joscha Gedicke, 2013, J. Sci. Comput..

Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell's equations

Susanne C. Brenner, Li-Yeng Sung, Jintao Cui, 2012, Math. Comput..

Finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state

Susanne C. Brenner, Li-Yeng Sung, Winnifried Wollner, 2020, ArXiv.

Convergence of the multigrid V-cycle algorithm for second-order boundary value problems without full elliptic regularity

Susanne C. Brenner, S. C. Brenner, 2002, Math. Comput..

Multigrid methods for saddle point problems: Stokes and Lamé systems

Susanne C. Brenner, Li-Yeng Sung, Hengguang Li, 2014, Numerische Mathematik.

Virtual enriching operators

Susanne C. Brenner, Li-yeng Sung, S. C. Brenner, 2019, Calcolo.

Some Estimates for Virtual Element Methods

Susanne C. Brenner, Li-Yeng Sung, Qingguang Guan, 2017, Comput. Methods Appl. Math..

Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems

Susanne C. Brenner, Blanca Ayuso de Dios, Li-Yeng Sung, 2012, Comput. Methods Appl. Math..

A two-level additive Schwarz preconditioner for the stationary Stokes equations

Susanne C. Brenner, 1995, Adv. Comput. Math..

A C0 Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem

Susanne C. Brenner, Michael Neilan, S. C. Brenner, 2011, SIAM J. Numer. Anal..

Convergence of nonconforming multigrid methods without full elliptic regularity

Susanne C. Brenner, S. C. Brenner, 1999, Math. Comput..

A nonconforming finite element method for a two-dimensional curl–curl and grad-div problem

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2008, Numerische Mathematik.

Piecewise H1 functions and vector fields associated with meshes generated by independent refinements

Susanne C. Brenner, Li-Yeng Sung, S. C. Brenner, 2014, Math. Comput..

Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities

Susanne C. Brenner, S. C. Brenner, 1999, Math. Comput..

A Nonoverlapping DD Preconditioner for a Weakly Over-Penalized Symmetric Interior Penalty Method

Susanne C. Brenner, Li-Yeng Sung, Andrew T. Barker, 2013, Domain Decomposition Methods in Science and Engineering XX.

C0 Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints

Susanne C. Brenner, Li-Yeng Sung, Joscha Gedicke, 2018, SIAM J. Numer. Anal..

Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method

Susanne C. Brenner, Li-Yeng Sung, Andrew T. Barker, 2011, J. Sci. Comput..

A New Convergence Analysis of Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints pdf

Susanne C. Brenner, Li-Yeng Sung, S. C. Brenner, 2017, SIAM J. Control. Optim..

Balancing domain decomposition for nonconforming plate elements

Susanne C. Brenner, Li-Yeng Sung, S. C. Brenner, 1999, Numerische Mathematik.

C0 interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition

Susanne C. Brenner, Yi Zhang, Li-Yeng Sung, 2019, J. Comput. Appl. Math..

Finite element methods for the displacement obstacle problem of clamped plates

Susanne C. Brenner, Yi Zhang, Li-Yeng Sung, 2012, Math. Comput..

An Intrinsically Parallel Finite Element Method

Susanne C. Brenner, Li-Yeng Sung, Thirupathi Gudi, 2010, J. Sci. Comput..

An Adaptive $$\varvec{P_1}$$P1 Finite Element Method for Two-Dimensional Transverse Magnetic Time Harmonic Maxwell’s Equations with General Material Properties and General Boundary Conditions

Susanne C. Brenner, Li-Yeng Sung, Joscha Gedicke, 2016, J. Sci. Comput..

Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions

Susanne C. Brenner, Li-Yeng Sung, 2000, Math. Comput..

Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms

Susanne C. Brenner, Qingmi He, 2003, Numerische Mathematik.

A Posteriori Error Control for a Weakly Over-Penalized Symmetric Interior Penalty Method

Susanne C. Brenner, Li-Yeng Sung, Thirupathi Gudi, 2009, J. Sci. Comput..

A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints

Susanne C. Brenner, Winnifried Wollner, Li-yeng Sung, 2020, ArXiv.

An A Posteriori Analysis of C0 Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates

Susanne C. Brenner, Yi Zhang, Li-Yeng Sung, 2015, SIAM J. Numer. Anal..

Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

Susanne C. Brenner, Li-Yeng Sung, Thirupathi Gudi, 2011, Numerische Mathematik.

The condition number of the Schur complement in domain decomposition

Susanne C. Brenner, S. C. Brenner, 1999, Numerische Mathematik.

A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation

Susanne C. Brenner, Li-Yeng Sung, Amanda E. Diegel, 2018, J. Comput. Appl. Math..

C0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains

Susanne C. Brenner, Li-Yeng Sung, S. C. Brenner, 2005, J. Sci. Comput..

A balancing domain decomposition by constraints preconditioner for a weakly over‐penalized symmetric interior penalty method

Susanne C. Brenner, Li-Yeng Sung, Eun-Hee Park, 2013, Numer. Linear Algebra Appl..

A Nonconforming Finite Element Method for an Acoustic Fluid-Structure Interaction Problem

Susanne C. Brenner, Li-Yeng Sung, Jintao Cui, 2018, Comput. Methods Appl. Math..

A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2008, SIAM J. Numer. Anal..

A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates

Susanne C. Brenner, Li-Yeng Sung, C. B. Davis, 2014, J. Comput. Appl. Math..

Multigrid methods for saddle point problems: Darcy systems

Susanne C. Brenner, Duk-Soon Oh, Li-Yeng Sung, 2015, Numerische Mathematik.

Poincaré-Friedrichs Inequalities for Piecewise H1 Functions

Susanne C. Brenner, S. C. Brenner, 2003, SIAM J. Numer. Anal..

Virtual element methods on meshes with small edges or faces

Susanne C. Brenner, Li-yeng Sung, S. C. Brenner, 2017, Mathematical Models and Methods in Applied Sciences.

A General Superapproximation Result

Susanne C. Brenner, S. C. Brenner, 2020, Comput. Methods Appl. Math..

A Robust Solver for a Mixed Finite Element Method for the Cahn–Hilliard Equation

Susanne C. Brenner, Li-Yeng Sung, Amanda E. Diegel, 2018, J. Sci. Comput..

Nonconforming Maxwell Eigensolvers

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2009, J. Sci. Comput..

Lower Bounds for Two-Level Additive Schwarz Preconditioners with Small Overlap

Susanne C. Brenner, 2000, SIAM J. Sci. Comput..

Nonstandard finite element methods. Abstracts from the workshop held 2008, August 10-16

Susanne C. Brenner, Peter Monk, Carsten Carstensen, 2008 .

Mini-Workshop: Numerical Analysis for Non-Smooth PDE-Constrained Optimal Control Problems

Susanne C. Brenner, Boris Vexler, Dmitriy Leykekhman, 2019 .

Multigrid Methods Based on Hodge Decomposition for a Quad-Curl Problem

Susanne C. Brenner, Li-Yeng Sung, Jintao Cui, 2019, Comput. Methods Appl. Math..

Convergence of nonconforming V-cycle and F-cycle multigrid algorithms for second order elliptic boundary value problems

Susanne C. Brenner, S. C. Brenner, 2003, Math. Comput..

Multigrid methods for saddle point problems: Oseen system

Susanne C. Brenner, Li-Yeng Sung, Hengguang Li, 2017, Comput. Math. Appl..

Higher order weakly over-penalized symmetric interior penalty methods

Susanne C. Brenner, Li-Yeng Sung, Luke Owens, 2012, J. Comput. Appl. Math..

Multigrid methods for saddle point problems: Optimality systems

Susanne C. Brenner, Li-Yeng Sung, Sijing Liu, 2020, J. Comput. Appl. Math..

75 Years of Mathematics of Computation

Susanne C. Brenner, Daniel B. Szyld, Chi-Wang Shu, 2020, 75 Years of Mathematics of Computation.

An additive Schwarz preconditioner for the FETI method

Susanne C. Brenner, 2003, Numerische Mathematik.

Two-level additive Schwarz preconditioners for C0 interior penalty methods

Susanne C. Brenner, Kening Wang, S. C. Brenner, 2005, Numerische Mathematik.

Domain Decomposition Methods in Science and Engineering XXIV

Susanne C. Brenner, Talal Rahman, Olof B. Widlund, 2018 .

A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates

Susanne C. Brenner, Yi Zhang, Li-Yeng Sung, 2013, J. Comput. Appl. Math..

A C0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^0$$\end{document} interior penalty method for a von Kármán plate

Susanne C. Brenner, Li-Yeng Sung, Michael Neilan, 2016, Numerische Mathematik.

Additive Schwarz preconditioners for a localized orthogonal decomposition method

Susanne C. Brenner, Li-yeng Sung, S. C. Brenner, 2021, ETNA - Electronic Transactions on Numerical Analysis.

Multiscale Finite Element Methods for an Elliptic Optimal Control Problem with Rough Coefficients pdf

Susanne C. Brenner, Li-yeng Sung, Jos'e C. Garay, 2021, ArXiv.

A two-level additive Schwarz preconditioner for nonconforming plate elements

Susanne C. Brenner, S. C. Brenner, 1996 .

A weakly over-penalized symmetric interior penalty method for the biharmonic problem.

Susanne C. Brenner, Li-Yeng Sung, Thirupathi Gudi, 2010 .

Isoparametric C0 interior penalty methods for plate bending problems on smooth domains

Susanne C. Brenner, Li-Yeng Sung, Michael Neilan, 2013 .

C 0 Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problems

Susanne C. Brenner, Peter Monk, Jiguang Sun, 2015 .

Multigrid methods for the computation of singular solutions and stress intensity factors II: Crack singularities

Susanne C. Brenner, Li-Yeng Sung, 1996 .

Overcoming Corner Singularities Using Multigrid Methods

Susanne C. Brenner, S. C. Brenner, 1998 .

A Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints

Susanne C. Brenner, Thirupathi Gudi, Kamana Porwal, 2018 .

SOME NONSTANDARD FINITE ELEMENT ESTIMATES WITH APPLICATIONS TO 3D POISSON AND SIGNORINI PROBLEMS

Susanne C. Brenner, Faker Ben Belgacem, S. C. Brenner, 2001 .

An optimal-order nonconforming multigrid method for the Biharmonic equation

Susanne C. Brenner, S. C. Brenner, 1989 .

Two-level additive Schwarz preconditioners for plate elements

Susanne C. Brenner, S. C. Brenner, 1996, Wuhan University Journal of Natural Sciences.

Chapter 4 Finite Element Methods

Susanne C. Brenner, Carsten Carstensen, S. C. Brenner, 2004 .

Fast Solvers for Mixed Finite Element Methods

Susanne C. Brenner, S. C. Brenner, 2009 .

A W-cycle algorithm for a weakly over-penalized interior penalty method

Susanne C. Brenner, S. C. Brenner, L. Owens, 2007 .

Multigrid methods for nonconforming finite elements.

Susanne C. Brenner, S. C. Brenner, 1988 .

Smoothers, mesh dependent norms, interpolation and multigrid

Susanne C. Brenner, S. C. Brenner, 2002 .

A BDDC Preconditioner for aWeakly Over-Penalized Symmetric Interior Penalty Method

Susanne C. Brenner, Andrew T. Barker, Eun-Hee Park, 2011 .

BDDC and FETI-DP without matrices or vectors

Susanne C. Brenner, Li-Yeng Sung, S. C. Brenner, 2007 .

Additive Schwarz Preconditioners

Susanne C. Brenner, L. Ridgway Scott, 2002 .

Supplement to A Nonconforming Mixed Multigrid Method for the Pure Traction Problem in Planar Linear Elasticity

Susanne C. Brenner, 1994 .

A Weakly Over-Penalized Non-Symmetric Interior Penalty Method

Susanne C. Brenner, S. C. Brenner, S. Brenner, 2007 .

A One-Level Additive Schwarz Preconditioner for a Discontinuous Petrov–Galerkin Method

Susanne C. Brenner, Li-Yeng Sung, Andrew T. Barker, 2014 .

Multigrid methods for parameter dependent problems

Susanne C. Brenner, S. Brenner, Susanne C. Brenner, 1996 .

A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity

Susanne C. Brenner, 1994 .

A partition of unity method for a class of fourth order elliptic variational inequalities

Susanne C. Brenner, Li-Yeng Sung, C. B. Davis, 2014 .

A nonconforming multigrid method for the stationary Stokes equations

Susanne C. Brenner, S. C. Brenner, 1990 .

Multigrid methods for the computation of singular solutions and stress intensity factors III: interface singularities

Susanne C. Brenner, Li-Yeng Sung, S. C. Brenner, 2003 .

A Functional Analytic Framework for BDDC and FETI-DP

Susanne C. Brenner, S. C. Brenner, 2008 .

Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions.

Susanne C. Brenner, 2004 .

A multigrid algorithm for the lowest-order Raviart-Thomas mixed triangular finite element method

Susanne C. Brenner, 1992 .

Finite Element Methods

Susanne C. Brenner, Carsten Carstensen, S. C. Brenner, 2000 .

ANALYSIS OF TWO-DIMENSIONAL FETI-DP PRECONDITIONERS BY THE STANDARD ADDITIVE SCHWARZ FRAMEWORK

Susanne C. Brenner, S. C. Brenner, 2003 .