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1

Centroidal Voronoi Tessellations: Applications and Algorithms

Du, Qiang, Faber, Vance, Gunzburger, Max

Journal:

Year:

1999

Language:

english

File:

PDF, 2.72 MB

english, 1999

2

Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

Bochev, Pavel B., Dohrmann, Clark R., Gunzburger, Max D.

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 319 KB

english, 2006

3

Vibration of delaminated composite plates and some applications to non-destructive testing

Lazarus H. Tenek, Edmund G. Henneke II, Max D. Gunzburger

Journal:

Composite Structures

Year:

1993

Language:

english

File:

PDF, 833 KB

english, 1993

4

POD and CVT-based reduced-order modeling of Navier–Stokes flows

John Burkardt, Max Gunzburger, Hyung-Chun Lee

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2006

Language:

english

File:

PDF, 1.60 MB

english, 2006

5

Analysis of a Ladyzhenskaya model for incompressible viscous flow

Qiang Du, Max D Gunzburger

Journal:

Journal of Mathematical Analysis and Applications

Year:

1991

Language:

english

File:

PDF, 1.05 MB

english, 1991

6

The approximation of boundary control problems for fluid flows with an application to control by heating and cooling

Max D. Gunzburger, L.Steven Hou, Thomas P. Svobodny

Journal:

Computers & Fluids

Year:

1993

Language:

english

File:

PDF, 900 KB

english, 1993

7

Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data

Max D. Gunzburger, Janet S. Peterson, John N. Shadid

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 553 KB

english, 2007

8

Quadrature-rule type approximations to the quasicontinuum method for long-range interatomic interactions

Yanzhi Zhang, Max Gunzburger

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2010

Language:

english

File:

PDF, 674 KB

english, 2010

9

A two time scale analysis of gyroscopic motion with friction

Henry C. Simpson, Max D. Gunzburger

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

1986

Language:

english

File:

PDF, 1.09 MB

english, 1986

10

Continuous and discontinuous finite element methods for a peridynamics model of mechanics

X. Chen, Max Gunzburger

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2011

Language:

english

File:

PDF, 919 KB

english, 2011

11

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

Du, Qiang, Gunzburger, Max, Lehoucq, R. B., Zhou, Kun

Journal:

Year:

2012

Language:

english

File:

PDF, 353 KB

english, 2012

12

Finite Element Methods of Least-Squares Type

Pavel B. Bochev and Max D. Gunzburger

Journal:

Year:

1998

Language:

english

File:

PDF, 3.75 MB

english, 1998

13

Stochastic finite element methods for partial differential equations with random input data

Gunzburger, Max D., Webster, Clayton G., Zhang, Guannan

Journal:

Year:

2014

Language:

english

File:

PDF, 4.16 MB

english, 2014

14

A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS

DU, QIANG, GUNZBURGER, MAX, LEHOUCQ, R. B., ZHOU, KUN

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2013

Language:

english

File:

PDF, 507 KB

english, 2013

15

Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise

Gunzburger, Max, Li, Buyang, Wang, Jilu

Journal:

Numerische Mathematik

Year:

2019

Language:

english

File:

PDF, 504 KB

english, 2019

16

On least squares approximations to indefinite problems of the mixed type

George J. Fix, Max D. Gunzburger

Journal:

International Journal for Numerical Methods in Engineering

Year:

1978

Language:

english

File:

PDF, 599 KB

english, 1978

17

Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits

Yanzhao Cao, Max Gunzburger, Fei Hua, Xiaoming Wang

Journal:

Numerical Methods for Partial Differential Equations

Year:

2011

Language:

english

File:

PDF, 129 KB

english, 2011

18

Accuracy of least-squares methods for the Navier-Stokes equations

Pavel B. Bochev, Max D. Gunzburger

Journal:

Computers & Fluids

Year:

1993

Language:

english

File:

PDF, 910 KB

english, 1993

19

Stability of the SUPG finite element method for transient advection–diffusion problems

Pavel B. Bochev, Max D. Gunzburger, John N. Shadid

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 640 KB

english, 2004

20

Analysis of an optimal control problem for the three-dimensional coupled modified Navier–Stokes and Maxwell equations

Max Gunzburger, Catalin Trenchea

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 187 KB

english, 2007

21

Optimal control of the time-periodic MHD equations

Max Gunzburger, Catalin Trenchea

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 161 KB

english, 2005

22

Meshfree, probabilistic determination of point sets and support regions for meshless computing

Qiang Du, Max Gunzburger, Lili Ju

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2002

Language:

english

File:

PDF, 1.77 MB

english, 2002

23

Grid generation and optimization based on centroidal Voronoi tessellations

Qiang Du, Max Gunzburger

Journal:

Applied Mathematics and Computation

Year:

2002

Language:

english

File:

PDF, 396 KB

english, 2002

24

Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations

Lili Ju, Qiang Du, Max Gunzburger

Journal:

Parallel Computing

Year:

2002

Language:

english

File:

PDF, 654 KB

english, 2002

25

Manuscript submission and processing: the new electronic pathway

Max Aebi, Robert Gunzburg, Hans-Joachim Wilke

Journal:

European Spine Journal

Year:

2003

Language:

english

File:

PDF, 98 KB

english, 2003

26

Controversies in new technologies: how should a scientific journal stand?

Max Aebi, Robert Gunzburg, Marek Szpalski

Journal:

European Spine Journal

Year:

2006

Language:

english

File:

PDF, 73 KB

english, 2006

27

Alf Nachemson, MD, PhD, 1931–2006: an exceptional pioneer in spine care

Björn Rydevik, Tommy Hansson, Marek Szpalski, Max Aebi, Robert Gunzburg

Journal:

European Spine Journal

Year:

2007

Language:

english

File:

PDF, 105 KB

english, 2007

28

Biomaterials: the new frontiers in spine surgery

Robert Gunzburg, Marek Szpalski, Norbert Passuti, Max Aebi

Journal:

European Spine Journal

Year:

2001

Language:

english

File:

PDF, 10 KB

english, 2001

29

Analysis and finite element approximation of optimal control problems for a Ladyzhenskaya model for stationary, incompressible, viscous flows

Qiang Du, Max D. Gunzburger, L. Steven Hou

Journal:

Journal of Computational and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 1.03 MB

english, 1995

30

A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

Gunzburger, Max, Lehoucq, R. B.

Journal:

Multiscale Modeling and Simulation

Year:

2010

Language:

english

File:

PDF, 245 KB

english, 2010

31

Error Analysis of a Stochastic Collocation Method for Parabolic Partial Differential Equations with Random Input Data

Zhang, Guannan, Gunzburger, Max

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 324 KB

english, 2012

32

Finite-Element Approximations of a Ladyzhenskaya Model for Stationary Incompressible Viscous Flow

Du, Qiang, Gunzburger, Max D.

Journal:

SIAM Journal on Numerical Analysis

Year:

1990

Language:

english

File:

PDF, 1.68 MB

english, 1990

33

Finite-Element Methods for the Streamfunction-Vorticity Equations: Boundary-Condition Treatments and Multiply Connected Domains

Gunzburger, Max D., Peterson, Janet S.

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1988

Language:

english

File:

PDF, 2.10 MB

english, 1988

34

On the Lawrence–Doniach and Anisotropic Ginzburg–Landau Models for Layered Superconductors

Chapman, S. Jonathan, Du, Qiang, Gunzburger, Max D.

Journal:

SIAM Journal on Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 1.57 MB

english, 1995

35

Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions

Bayliss, Alvin, Gunzburger, Max, Turkel, Eli

Journal:

SIAM Journal on Applied Mathematics

Year:

1982

Language:

english

File:

PDF, 1.98 MB

english, 1982

36

Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems

Gunzburger, Max D., Hou, L. Steven

Journal:

SIAM Journal on Control and Optimization

Year:

1996

Language:

english

File:

PDF, 3.73 MB

english, 1996

37

Peridynamics as an Upscaling of Molecular Dynamics

Seleson, Pablo, Parks, Michael L., Gunzburger, Max, Lehoucq, Richard B.

Journal:

Multiscale Modeling and Simulation

Year:

2009

Language:

english

File:

PDF, 557 KB

english, 2009

38

Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity

Du, Qiang, Gunzburger, Max D., Peterson, Janet S.

Journal:

Year:

1992

Language:

english

File:

PDF, 3.08 MB

english, 1992

39

Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions

Alvin Bayliss, Max Gunzburger and Eli Turkel

Journal:

SIAM Journal on Applied Mathematics

Year:

1982

Language:

english

File:

PDF, 1.64 MB

english, 1982

40

Modeling and Analysis of a Periodic Ginzburg-Landau Model for Type-II Superconductors

Qiang Du, Max D. Gunzburger and Janet S. Peterson

Journal:

SIAM Journal on Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 2.89 MB

english, 1993

41

On the Lawrence-Doniach and Anisotropic Ginzburg-Landau Models for Layered Superconductors

S. Jonathan Chapman, Qiang Du and Max D. Gunzburger

Journal:

SIAM Journal on Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 1.23 MB

english, 1995

42

Time of transition

Aebi, Max, Gunzburg, Robert

Journal:

European Spine Journal

Year:

2014

Language:

english

File:

PDF, 85 KB

english, 2014

43

Computational simulation of type-II superconductivity including pinning phenomena

Du, Qiang, Gunzburger, Max D., Peterson, Janet S.

Journal:

Physical Review B

Year:

1995

Language:

english

File:

PDF, 537 KB

english, 1995

44

Reaching a milestone

Marek Szpalski,Robert Gunzburg,Max Aebi

Journal:

European Spine Journal

Year:

2014

Language:

english

File:

PDF, 90 KB

english, 2014

45

Minimum Residual and Least Squares Finite Element Methods

Bochev, Pavel, Demkowicz, Leszek, Gopalakrishnan, Jay, Gunzburger, Max

Journal:

Computers & Mathematics with Applications

Year:

2014

Language:

english

File:

PDF, 261 KB

english, 2014

46

Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions

Cao, Yanzhao, Gunzburger, Max, Hu, Xiaolong, Hua, Fei, Wang, Xiaoming, Zhao, Weidong

Journal:

SIAM Journal on Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 250 KB

english, 2010

47

Finite Element Methods for Viscous Incompressible Flows || Finite Element Spaces

Gunzburger, Max D.

Year:

1989

Language:

english

File:

PDF, 1.27 MB

english, 1989

48

[Applied Mathematical Sciences] Least-Squares Finite Element Methods Volume 166 || The Agmon–Douglis–Nirenberg Theory and Verifying its Assumptions

Gunzburger, Max D., Bochev, Pavel B.

Year:

2009

Language:

english

File:

PDF, 317 KB

english, 2009

49

A generalized nonlocal vector calculus

Alali, Bacim, Liu, Kuo, Gunzburger, Max

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2015

Language:

english

File:

PDF, 383 KB

english, 2015

50

Advances in Studies and Applications of Centroidal Voronoi Tessellations

Du, Qiang, Gunzburger, Max, Ju, Lili

Journal:

Numerical Mathematics Theory Methods and Applications

Year:

2010

Language:

english

File:

PDF, 7.58 MB

english, 2010