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1

Linear Finite Element Methods for Planar Linear Elasticity

Susanne C. Brenner and Li-Yeng Sung

Journal:

Mathematics of Computation

Year:

1992

Language:

english

File:

PDF, 357 KB

english, 1992

2

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

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

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 362 KB

english, 2008

3

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

Susanne C. Brenner, Li-yeng Sung

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2003

Language:

english

File:

PDF, 204 KB

english, 2003

4

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

Brenner, Susanne C., Davis, Christopher B., Sung, Li-yeng

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2014

Language:

english

File:

PDF, 1.21 MB

english, 2014

5

IsoparametricC0interior penalty methods for plate bending problems on smooth domains

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

Journal:

Year:

2013

Language:

english

File:

PDF, 1.02 MB

english, 2013

6

The Cauchy Problem for the Ishimori Equation

Journal:

Journal of Functional Analysis

Year:

1996

Language:

english

File:

PDF, 1.33 MB

english, 1996

7

A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type

Brenner, Susanne C., Gu, Shiyuan, Gudi, Thirupathi, Sung, Li-yeng

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 1.34 MB

english, 2012

8

BDDC and FETI-DP without matrices or vectors

Susanne C. Brenner, Li-Yeng Sung

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 207 KB

english, 2007

9

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

Brenner, Susanne C., Cui, Jintao, Sung, Li-yeng

Journal:

Computational Methods in Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 3.19 MB

english, 2019

10

A\(C^0\)interior penalty method for a von Kármán plate

Brenner, Susanne C., Neilan, Michael, Reiser, Armin, Sung, Li-Yeng

Journal:

Numerische Mathematik

Year:

2017

Language:

english

File:

PDF, 969 KB

english, 2017

11

Nonconforming Maxwell Eigensolvers

Susanne C. Brenner, Fengyan Li, Li-yeng Sung

Journal:

Journal of Scientific Computing

Year:

2009

Language:

english

File:

PDF, 2.06 MB

english, 2009

12

Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions

Brenner, Susanne C., Sung, Li-Yeng

Journal:

Mathematics of Computation

Year:

2000

File:

PDF, 289 KB

2000

13

Lower Bounds for Nonoverlapping Domain Decomposition Preconditioners in Two Dimensions

Susanne C. Brenner and Li-Yeng Sung

Journal:

Mathematics of Computation

Year:

2000

Language:

english

File:

PDF, 439 KB

english, 2000

14

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

Brenner, Susanne C., Sung, Li-yeng, Zhang, Hongchao, Zhang, Yi

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 3.11 MB

english, 2013

15

Some Estimates for Virtual Element Methods

Brenner, Susanne C., Guan, Qingguang, Sung, Li-Yeng

Journal:

Computational Methods in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 882 KB

english, 2017

16

On the perfectly reflecting boundary conditions

Journal:

Communications in Partial Differential Equations

Year:

1984

Language:

english

File:

PDF, 248 KB

english, 1984

17

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

Susanne C. Brenner, Fengyan Li and Li-Yeng Sung

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 1.53 MB

english, 2008

18

Semi-boundedness of systems of differential operators

Journal:

Journal of Differential Equations

Year:

1986

Language:

english

File:

PDF, 260 KB

english, 1986

19

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

Brenner, Susanne C., Çeşmelioğlu, Ayçıl, Cui, Jintao, Sung, Li-Yeng

Journal:

Computational Methods in Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.35 MB

english, 2018

20

Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraints

Brenner, Susanne C., Sung, Li-Yeng, Zhang, Yi

Journal:

Applied Numerical Mathematics

Year:

2015

Language:

english

File:

PDF, 812 KB

english, 2015

21

The Cauchy problem for the Kadomtsev–Petviashvili–I equation without the zero mass constraint

FOKAS, A. S., SUNG, LI-YENG

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1999

Language:

english

File:

PDF, 511 KB

english, 1999

22

$\mathcal{C}^{0}$ penalty methods for the fully nonlinear Monge-Ampère equation

Brenner, Susanne C., Gudi, Thirupathi, Neilan, Michael, Sung, Li-yeng

Journal:

Mathematics of Computation

Year:

2011

Language:

english

File:

PDF, 285 KB

english, 2011

23

Multigrid methods for saddle point problems: Stokes and Lamé systems

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

Journal:

Numerische Mathematik

Year:

2014

Language:

english

File:

PDF, 360 KB

english, 2014

24

Positivity of a system of differential operators

Journal:

Journal of Differential Equations

Year:

1987

Language:

english

File:

PDF, 666 KB

english, 1987

25

Higher order weakly over-penalized symmetric interior penalty methods

Susanne C. Brenner, Luke Owens, Li-Yeng Sung

Journal:

Journal of Computational and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 297 KB

english, 2012

26

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

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

Journal:

Numerical Functional Analysis and Optimization

Year:

2020

File:

PDF, 1.28 MB

2020

27

Finite element methods for the displacement obstacle problem of clamped plates

Brenner, Susanne C., Sung, Li-yeng, Zhang, Yi

Journal:

Mathematics of Computation

Year:

2012

Language:

english

File:

PDF, 289 KB

english, 2012

28

Balancing domain decomposition for nonconforming plate elements

Susanne C. Brenner, Li-yeng Sung

Journal:

Numerische Mathematik

Year:

1999

Language:

english

File:

PDF, 203 KB

english, 1999

29

Multigrid Algorithms for C0 Interior Penalty Methods

Brenner, Susanne C., Sung, Li-yeng

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 267 KB

english, 2006

30

interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints

Brenner, Susanne C., Sung, Li-yeng, Tan, Zhiyu

Journal:

Results in Applied Mathematics

Year:

2020

File:

PDF, 1.71 MB

2020

31

Square Integrability and Uniqueness of the Solutions of the Kadomtsev–Petviashvili-I Equation

Journal:

Mathematical Physics, Analysis and Geometry

Year:

1999

Language:

english

File:

PDF, 176 KB

english, 1999

32

$P_1$ finite element methods for an elliptic optimal control problem with pointwise state constraints

Brenner, Susanne C, Sung, Li-yeng, Gedicke, Joscha

Journal:

IMA Journal of Numerical Analysis

Year:

2018

File:

PDF, 528 KB

2018

33

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

Susanne C. Brenner, Thirupathi Gudi, Li-yeng Sung

Journal:

Journal of Scientific Computing

Year:

2009

Language:

english

File:

PDF, 1.09 MB

english, 2009

34

A quadratic nonconforming vector finite element for

Susanne C. Brenner, Li-Yeng Sung

Journal:

Applied Mathematics Letters

Year:

2009

Language:

english

File:

PDF, 359 KB

english, 2009

35

Piecewise $\mathbf {H^1}$ functions and vector fields associated with meshes generated by independent refinements

Brenner, Susanne C., Sung, Li-Yeng

Journal:

Mathematics of Computation

Year:

2014

Language:

english

File:

PDF, 308 KB

english, 2014

36

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

Brenner, Susanne C., Sung, Li-yeng

Journal:

SIAM Journal on Control and Optimization

Year:

2017

Language:

english

File:

PDF, 382 KB

english, 2017

37

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

Brenner, Susanne C., Sung, Li-yeng, Zhang, Yi

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.39 MB

english, 2018

38

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

Brenner, Susanne C., Davis, Christopher B., Sung, Li-yeng

Journal:

Journal of Computational and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 788 KB

english, 2014

39

10.1090/s0025-5718-06-01950-8

Brenner, Susanne C., Li, Fengyan, Sung, Li-yeng

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 343 KB

english, 2007

40

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

Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung

Journal:

Numerical Linear Algebra with Applications

Year:

2012

Language:

english

File:

PDF, 221 KB

english, 2012

41

Inverse Problems in Multidimensions

Sung, Li-Yeng, Fokas, A. S.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1991

Language:

english

File:

PDF, 2.20 MB

english, 1991

42

An A Posteriori Analysis of $C^0$ Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates

Brenner, Susanne C., Gedicke, Joscha, Sung, Li-Yeng, Zhang, Yi

Journal:

SIAM Journal on Numerical Analysis

Year:

2017

Language:

english

File:

PDF, 824 KB

english, 2017

43

Multigrid methods for saddle point problems: Oseen system

Brenner, Susanne C., Li, Hengguang, Sung, Li-yeng

Journal:

Computers & Mathematics with Applications

Year:

2017

Language:

english

File:

PDF, 408 KB

english, 2017

44

Virtual enriching operators

Brenner, Susanne C., Sung, Li-Yeng

Journal:

Year:

2019

File:

PDF, 536 KB

2019

45

A Quadratic $C^0$ Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates

Brenner, Susanne C., Sung, Li-Yeng, Zhang, Hongchao, Zhang, Yi

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 1.24 MB

english, 2012

46

Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems

Antonietti, Paola F., Ayuso de Dios, Blanca, Brenner, Susanne C., Sung, Li-yeng

Journal:

Computational Methods in Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 805 KB

english, 2012

47

Multigrid Algorithms for C° Interior Penalty Methods

Susanne C. Brenner and Li-Yeng Sung

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 1.64 MB

english, 2006

48

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

Brenner, Susanne C., Gudi, Thirupathi, Porwal, Kamana, Sung, Li-yeng

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2018

Language:

english

File:

PDF, 1.43 MB

english, 2018

49

$P_1$ finite element methods for an elliptic optimal control problem with pointwise state constraints

Brenner, Susanne C, Sung, Li-yeng, Gedicke, Joscha

Journal:

IMA Journal of Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 528 KB

english, 2018

50

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

Brenner, Susanne C., Diegel, Amanda E., Sung, Li-Yeng

Journal:

Journal of Computational and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 1.28 MB

english, 2019

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