Max D. Gunzburger

137 papers Journal 132Unranked 4

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Nonlocal modeling of spatial fractional diffusion with truncated interaction domains and truncated kernel function singularity. CoRR Shiping Zhou, Yanzhi Zhang, Max D. Gunzburger
2025	J	`jnl`	Splitting Method for Stochastic Navier-Stokes Equations. CoRR Jie Zhu, Yujun Zhu, Ju Ming, Max D. Gunzburger
2024	J	`jnl`	An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models. CoRR Yuwei Geng, Olena Burkovska, Lili Ju, Guannan Zhang, Max D. Gunzburger
2023	J	`jnl`	A Multifidelity Monte Carlo Method for Realistic Computational Budgets. J. Sci. Comput. Anthony D. Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
2023	J	`jnl`	A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces. J. Comput. Appl. Math. James Cheung, Mauro Perego, Pavel B. Bochev, Max D. Gunzburger
2023	J	`jnl`	A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. Comput. Math. Appl. Manuel Klar, Giacomo Capodaglio, Marta D'Elia, Christian Glusa, Max D. Gunzburger, Christian Vollmann
2023	J	`jnl`	A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. CoRR Manuel Klar, Giacomo Capodaglio, Marta D'Elia, Christian Glusa, Max D. Gunzburger, Christian Vollmann
2023	J	`jnl`	An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps. SIAM J. Sci. Comput. Christian Glusa, Marta D'Elia, Giacomo Capodaglio, Max D. Gunzburger, Pavel B. Bochev
2023	J	`jnl`	Multifidelity Methods for Uncertainty Quantification of a Nonlocal Model for Phase Changes in Materials. CoRR Parisa Khodabakhshi, Olena Burkovska, Karen Willcox, Max D. Gunzburger
2022	J	`jnl`	A Multifidelity Monte Carlo Method for Realistic Computational Budgets. CoRR Anthony D. Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
2022	J	`jnl`	A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. J. Comput. Phys. Max D. Gunzburger, Buyang Li, Jilu Wang, Zongze Yang
2022	J	`jnl`	An asymptotically compatible coupling formulation for nonlocal interface problems with jumps. CoRR Christian Glusa, Marta D'Elia, Giacomo Capodaglio, Max D. Gunzburger, Pavel B. Bochev
2022	J	`jnl`	Energetically Consistent Model Reduction for Metriplectic Systems. CoRR Anthony D. Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
2022	J	`jnl`	High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations. J. Comput. Phys. Rihui Lan, Lili Ju, Zhu Wang, Max D. Gunzburger, Philip Jones
2021	J	`jnl`	A Comparison of Neural Network Architectures for Data-Driven Reduced-Order Modeling. CoRR Anthony D. Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
2021	J	`jnl`	A multifidelity method for a nonlocal diffusion model. Appl. Math. Lett. Parisa Khodabakhshi, Karen E. Willcox, Max D. Gunzburger
2021	J	`jnl`	High-Order Multirate Explicit Time-Stepping Schemes for the Baroclinic-Barotropic Split Dynamics in Primitive Equations. CoRR Rihui Lan, Lili Ju, Zhu Wang, Max D. Gunzburger, Philip Jones
2021	J	`jnl`	Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations. CoRR Anthony D. Gruber, Max D. Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang
2021	J	`jnl`	Parallel Exponential Time Differencing Methods for Geophysical Flow Simulations. CoRR Rihui Lan, Wei Leng, Zhu Wang, Lili Ju, Max D. Gunzburger
2020	J	`jnl`	A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls. CoRR Marta D'Elia, Max D. Gunzburger, Christian Vollmann
2020	J	`jnl`	A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. CoRR Giacomo Capodaglio, Marta D'Elia, Max D. Gunzburger, Pavel B. Bochev, Manuel Klar, Christian Vollmann
2020	J	`jnl`	Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models. SIAM J. Numer. Anal. Olena Burkovska, Max D. Gunzburger
2020	J	`jnl`	An energy-based coupling approach to nonlocal interface problems. CoRR Giacomo Capodaglio, Marta D'Elia, Pavel B. Bochev, Max D. Gunzburger
2020	J	`jnl`	High-precision computation of the weak Galerkin methods for the fourth-order problem. Numer. Algorithms John V. Burkardt, Max D. Gunzburger, Wenju Zhao
2020	J	`jnl`	Numerical methods for nonlocal and fractional models. Acta Numer. Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
2020	J	`jnl`	Numerical methods for nonlocal and fractional models. CoRR Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
2020	J	`jnl`	On a nonlocal Cahn-Hilliard model permitting sharp interfaces. CoRR Olena Burkovska, Max D. Gunzburger
2019	J	`jnl`	A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems. Comput. Methods Appl. Math. Max D. Gunzburger, Nan Jiang, Zhu Wang
2019	J	`jnl`	An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier-Stokes Equations. SIAM/ASA J. Uncertain. Quantification Max D. Gunzburger, Traian Iliescu, Muhammad Mohebujjaman, Michael Schneier
2019	J	`jnl`	An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs. J. Sci. Comput. Max D. Gunzburger, Michael Schneier, Clayton G. Webster, Guannan Zhang
2019	J	`jnl`	Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Numerische Mathematik Max D. Gunzburger, Buyang Li, Jilu Wang
2019	J	`jnl`	Descriptions, Discretizations, and Comparisons of Time/Space Colored and White Noise Forcings of the Navier-Stokes Equations. SIAM J. Sci. Comput. Max D. Gunzburger, Wenju Zhao
2019	J	`jnl`	Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE. SIAM J. Control. Optim. Max D. Gunzburger, Jilu Wang
2019	J	`jnl`	Exponential Time Differencing for the Tracer Equations Appearing in Primitive Equation Ocean Models. CoRR Sara Calandrini, Konstantin Pieper, Max D. Gunzburger
2019	J	`jnl`	Exponential time differencing for mimetic multilayer ocean models. J. Comput. Phys. Konstantin Pieper, Kenneth C. Sockwell, Max D. Gunzburger
2019	J	`jnl`	Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Math. Comput. James Cheung, Mauro Perego, Pavel B. Bochev, Max D. Gunzburger
2019	J	`jnl`	Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs. CoRR Giacomo Capodaglio, Max D. Gunzburger
2019	J	`jnl`	Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Math. Comput. Max D. Gunzburger, Buyang Li, Jilu Wang
2018	J	`jnl`	Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion. Comput. Math. Appl. Max D. Gunzburger, Nan Jiang, Feifei Xu
2018	J	`jnl`	Convergence analysis of multifidelity Monte Carlo estimation. Numerische Mathematik Benjamin Peherstorfer, Max D. Gunzburger, Karen Willcox
2018	J	`jnl`	Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel. J. Comput. Phys. Huanhuan Yang, Max D. Gunzburger, Lili Ju
2018	J	`jnl`	On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model. SIAM J. Numer. Anal. Max D. Gunzburger, Xiaoming He, Buyang Li
2018	J	`jnl`	Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization. SIAM Rev. Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger
2018	J	`jnl`	Survey of multifidelity methods in uncertainty propagation, inference, and optimization. CoRR Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger
2017	J	`jnl`	An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations. SIAM J. Numer. Anal. Max D. Gunzburger, Nan Jiang, Michael Schneier
2017	J	`jnl`	Analysis and approximation of a nonlocal obstacle problem. J. Comput. Appl. Math. Qingguang Guan, Max D. Gunzburger
2017	J	`jnl`	Comparison of approaches for random PDE optimization problems based on different matching functionals. Comput. Math. Appl. Hyung-Chun Lee, Max D. Gunzburger
2017	J	`jnl`	Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes. Comput. Methods Appl. Math. Marta D'Elia, Qiang Du, Max D. Gunzburger, Richard B. Lehoucq
2017	J	`jnl`	Well Posedness Of A Coupled ICE-Hydrology Problem Arising In Glaciology. SIAM J. Math. Anal. Luca Bertagna, Max D. Gunzburger
2016	J	`jnl`	A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension. Multiscale Model. Simul. Feifei Xu, Max D. Gunzburger, John V. Burkardt, Qiang Du
2016	J	`jnl`	A least-squares finite element method for a nonlinear Stokes problem in glaciology. Comput. Math. Appl. Irene Sonja Monnesland, Eunjung Lee, Max D. Gunzburger, Ryeongkyung Yoon
2016	J	`jnl`	An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Numerische Mathematik Wenbin Chen, Max D. Gunzburger, Dong Sun, Xiaoming Wang
2016	J	`jnl`	Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Adv. Comput. Math. Xiaochuan Tian, Qiang Du, Max D. Gunzburger
2016	J	`jnl`	Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection. SIAM Rev. Guannan Zhang, Clayton G. Webster, Max D. Gunzburger, John V. Burkardt
2016	J	`jnl`	Numerical methods for a class of nonlocal diffusion problems with the use of backward SDEs. Comput. Math. Appl. Guannan Zhang, Weidong Zhao, Clayton G. Webster, Max D. Gunzburger
2016	J	`jnl`	Optimal Model Management for Multifidelity Monte Carlo Estimation. SIAM J. Sci. Comput. Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger
2016	J	`jnl`	Quadrature rules for finite element approximations of 1D nonlocal problems. J. Comput. Phys. Xiaoping Zhang, Max D. Gunzburger, Lili Ju
2016	J	`jnl`	Research and Education in Computational Science and Engineering. CoRR Ulrich Rüde, Karen Willcox, Lois Curfman McInnes, Hans De Sterck, George Biros, Hans-Joachim Bungartz, James Corones, Evin Cramer, James Crowley, Omar Ghattas, Max D. Gunzburger, Michael Hanke, Robert J. Harrison, Michael A. Heroux, Jan S. Hesthaven, Peter K. Jimack, Chris Johnson, Kirk E. Jordan, David E. Keyes, Rolf H. Krause, Vipin Kumar, Stefan Mayer, Juan Meza, Knut Martin Mørken, J. Tinsley Oden, Linda R. Petzold, Padma Raghavan, Suzanne M. Shontz, Anne E. Trefethen, Peter R. Turner, Vladimir V. Voevodin, Barbara I. Wohlmuth, Carol S. Woodward
2016	J	`jnl`	Stochastic Steady-State Navier-Stokes Equations with Additive Random Noise. J. Sci. Comput. Max D. Gunzburger, Lisheng Hou, Ju Ming
2015	J	`jnl`	A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection. SIAM J. Numer. Anal. Guannan Zhang, Clayton G. Webster, Max D. Gunzburger, John V. Burkardt
2015	J	`jnl`	A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data. SIAM/ASA J. Uncertain. Quantification Aretha L. Teckentrup, Peter Jantsch, Clayton G. Webster, Max D. Gunzburger
2015	J	`jnl`	Power-Law Noises over General Spatial Domains and on Nonstandard Meshes. SIAM/ASA J. Uncertain. Quantification Hans-Werner van Wyk, Max D. Gunzburger, John Burkhardt, Miroslav Stoyanov
2015	J	`jnl`	θ schemes for finite element discretization of the space-time fractional diffusion equations. J. Comput. Appl. Math. Qingguang Guan, Max D. Gunzburger
2014	J	`jnl`	Adjoint Methods in Computational Science, Engineering, and Finance (Dagstuhl Seminar 14371). Dagstuhl Reports Nicolas R. Gauger, Michael B. Giles, Max D. Gunzburger, Uwe Naumann
2014	J	`jnl`	An Efficient and Accurate Method for the Identification of the Most Influential Random Parameters Appearing in the Input Data for PDEs. SIAM/ASA J. Uncertain. Quantification Alexander E. Labovsky, Max D. Gunzburger
2014	J	`jnl`	An adaptive sparse-grid iterative ensemble Kalman filter approach for parameter field estimation. Int. J. Comput. Math. Clayton G. Webster, Guannan Zhang, Max D. Gunzburger
2014	J	`jnl`	Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. J. Comput. Phys. Wei Leng, Lili Ju, Yan Xie, Tao Cui, Max D. Gunzburger
2014	J	`jnl`	Goal-oriented a posteriori error estimation for finite volume methods. J. Comput. Appl. Math. Qingshan Chen, Max D. Gunzburger
2014	J	`jnl`	Minimum Residual and Least Squares Finite Element Methods. Comput. Math. Appl. Pavel B. Bochev, Leszek F. Demkowicz, Jay Gopalakrishnan, Max D. Gunzburger
2014	J	`jnl`	Optimal Distributed Control of Nonlocal Steady Diffusion Problems. SIAM J. Control. Optim. Marta D'Elia, Max D. Gunzburger
2014	J	`jnl`	Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Math. Comput. Yanzhao Cao, Max D. Gunzburger, Xiaoming He, Xiaoming Wang
2014	J	`jnl`	Simulating vesicle-substrate adhesion using two phase field functions. J. Comput. Phys. Rui Gu, Xiaoqiang Wang, Max D. Gunzburger
2014	J	`jnl`	Stochastic finite element methods for partial differential equations with random input data. Acta Numer. Max D. Gunzburger, Clayton G. Webster, Guannan Zhang
2013	J	`jnl`	A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids. J. Comput. Phys. Qingshan Chen, Todd Ringler, Max D. Gunzburger
2013	J	`jnl`	Coarse-Grid Sampling Interpolatory Methods for Approximating Gaussian Random Fields. SIAM/ASA J. Uncertain. Quantification Marta D'Elia, Max D. Gunzburger
2013	J	`jnl`	Efficient and Long-Time Accurate Second-Order Methods for the Stokes-Darcy System. SIAM J. Numer. Anal. Wenbin Chen, Max D. Gunzburger, Dong Sun, Xiaoming Wang
2013	J	`jnl`	Message from the Editors. SIAM/ASA J. Uncertain. Quantification James O. Berger, Donald J. Estep, Max D. Gunzburger
2013	J	`jnl`	The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Comput. Math. Appl. Marta D'Elia, Max D. Gunzburger
2013	J	`jnl`	Unified Matching Grids for Multidomain Multiphysics Simulations. SIAM J. Sci. Comput. Geoffrey Womeldorff, Janet S. Peterson, Max D. Gunzburger, Todd Ringler
2013	J	`jnl`	Well-Posedness Results for a Nonlinear Stokes Problem Arising in Glaciology. SIAM J. Math. Anal. Qingshan Chen, Max D. Gunzburger, Mauro Perego
2012	J	`jnl`	Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints. SIAM Rev. Qiang Du, Max D. Gunzburger, Richard B. Lehoucq, Kun Zhou
2012	J	`jnl`	Approximation and application of the Musiela stochastic PDE in forward rate models. Int. J. Comput. Math. Jungmin Choi, Max D. Gunzburger
2012	J	`jnl`	Error Analysis of a Stochastic Collocation Method for Parabolic Partial Differential Equations with Random Input Data. SIAM J. Numer. Anal. Guannan Zhang, Max D. Gunzburger
2011	J	`jnl`	A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System. SIAM J. Numer. Anal. Wenbin Chen, Max D. Gunzburger, Fei Hua, Xiaoming Wang
2011	J	`jnl`	Analysis of Finite Element Discretizations of an Optimal Control Formulation of the Image Registration Problem. SIAM J. Numer. Anal. Eunjung Lee, Max D. Gunzburger
2011	J	`jnl`	Error Estimates of Stochastic Optimal Neumann Boundary Control Problems. SIAM J. Numer. Anal. Max D. Gunzburger, Hyung-Chun Lee, Jangwoon Lee
2011	J	`jnl`	Optimal Control of Stochastic Flow over a Backward-Facing Step Using Reduced-Order Modeling. SIAM J. Sci. Comput. Max D. Gunzburger, Ju Ming
2011	J	`jnl`	Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Numerische Mathematik Yanzhao Cao, Max D. Gunzburger, Xiaoming He, Xiaoming Wang
2011	J	`jnl`	Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations. SIAM J. Control. Optim. Max D. Gunzburger, Angela Kunoth
2010	J	`jnl`	A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems. Multiscale Model. Simul. Max D. Gunzburger, Richard B. Lehoucq
2010	J	`jnl`	An Optimal Control Formulation of an Image Registration Problem. J. Math. Imaging Vis. Eunjung Lee, Max D. Gunzburger
2010	J	`jnl`	Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence. J. Sci. Comput. Max D. Gunzburger, Eunjung Lee, Yuki Saka, Catalin Trenchea, Xiaoming Wang
2010	J	`jnl`	Error analysis of finite element approximations of the stochastic Stokes equations. Adv. Comput. Math. Yanzhao Cao, Zheng Chen, Max D. Gunzburger
2010	J	`jnl`	Finite Element Approximations for Stokes-Darcy Flow with Beavers-Joseph Interface Conditions. SIAM J. Numer. Anal. Yanzhao Cao, Max D. Gunzburger, Xiaolong Hu, Fei Hua, Xiaoming Wang, Weidong Zhao
2009	—	`conf`	A Locally Conservative Mimetic Least-Squares Finite Element Method for the Stokes Equations. LSSC Pavel B. Bochev, Max D. Gunzburger
2009	J	`jnl`	A Quadrature-Rule Type Approximation to the Quasi-Continuum Method. Multiscale Model. Simul. Max D. Gunzburger, Yanzhi Zhang
2009	J	`jnl`	Constrained CVT meshes and a comparison of triangular mesh generators. Comput. Geom. Hoa Nguyen, John V. Burkardt, Max D. Gunzburger, Lili Ju, Yuki Saka
2009	—	`book`	Least-Squares Finite Element Methods. Pavel B. Bochev, Max D. Gunzburger
2009	J	`jnl`	Option pricing in the presence of random arbitrage return. Int. J. Comput. Math. Jungmin Choi, Max D. Gunzburger
2009	J	`jnl`	Peridynamics as an Upscaling of Molecular Dynamics. Multiscale Model. Simul. Pablo Seleson, Michael L. Parks, Max D. Gunzburger, Richard B. Lehoucq
2008	J	`jnl`	On Atomistic-to-Continuum Coupling by Blending. Multiscale Model. Simul. Santiago Badia, Michael L. Parks, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq
2007	—	`conf`	Bridging Methods for Coupling Atomistic and Continuum Models. LSSC Santiago Badia, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq, Michael L. Parks
2007	J	`jnl`	The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws. J. Comput. Phys. Marcus Calhoun-Lopez, Max D. Gunzburger
2006	J	`jnl`	A numerical method for exact boundary controllability problems for the wave equation. Comput. Math. Appl. Max D. Gunzburger, L. S. Hou, Lili Ju
2006	J	`jnl`	Adaptive Finite Element Methods for Elliptic PDEs Based on Conforming Centroidal Voronoi-Delaunay Triangulations. SIAM J. Sci. Comput. Lili Ju, Max D. Gunzburger, Weidong Zhao
2006	J	`jnl`	Centroidal Voronoi Tessellation Algorithms for Image Compression, Segmentation, and Multichannel Restoration. J. Math. Imaging Vis. Qiang Du, Max D. Gunzburger, Lili Ju, Xiaoqiang Wang
2006	J	`jnl`	Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Complex Systems. SIAM J. Sci. Comput. John V. Burkardt, Max D. Gunzburger, Hyung-Chun Lee
2006	J	`jnl`	Comparison of pure and "Latinized" centroidal Voronoi tessellation against various other statistical sampling methods. Reliab. Eng. Syst. Saf. Vicente J. Romero, John V. Burkardt, Max D. Gunzburger, Janet S. Peterson
2006	J	`jnl`	Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems. SIAM J. Numer. Anal. Pavel B. Bochev, Max D. Gunzburger
2006	J	`jnl`	Preface. Comput. Math. Appl. Max D. Gunzburger, Kwang Ik Kim, Sang Dong Kim, Hyung-Chun Lee
2006	J	`jnl`	Stabilization of Low-order Mixed Finite Elements for the Stokes Equations. SIAM J. Numer. Anal. Pavel B. Bochev, Clark R. Dohrmann, Max D. Gunzburger
2005	J	`jnl`	A Finite Element, Multiresolution Viscosity Method for Hyperbolic Conservation Laws. SIAM J. Numer. Anal. Marcus Calhoun-Lopez, Max D. Gunzburger
2005	J	`jnl`	On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles. SIAM J. Numer. Anal. Pavel B. Bochev, Max D. Gunzburger
2005	J	`jnl`	Optimal Boundary Control for the Evolutionary Navier--Stokes System: The Three-Dimensional Case. SIAM J. Control. Optim. A. V. Fursikov, Max D. Gunzburger, L. S. Hou
2005	—	`conf`	Reduced-Order Modeling of Complex Systems with Multiple System Parameters. LSSC Max D. Gunzburger, Janet S. Peterson
2004	J	`jnl`	A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem. SIAM J. Sci. Comput. Teri Barth, Pavel B. Bochev, Max D. Gunzburger, John N. Shadid
2004	J	`jnl`	An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations. SIAM J. Numer. Anal. Pavel B. Bochev, Max D. Gunzburger
2004	J	`jnl`	Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem. SIAM J. Numer. Anal. Qiang Du, Max D. Gunzburger, L. Steven Hou, J. Lee
2003	J	`jnl`	Constrained Centroidal Voronoi Tessellations for Surfaces. SIAM J. Sci. Comput. Qiang Du, Max D. Gunzburger, Lili Ju
2002	J	`jnl`	Grid generation and optimization based on centroidal Voronoi tessellations. Appl. Math. Comput. Qiang Du, Max D. Gunzburger
2002	J	`jnl`	Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Parallel Comput. Lili Ju, Qiang Du, Max D. Gunzburger
2000	J	`jnl`	A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms. SIAM J. Numer. Anal. Qiang Du, Max D. Gunzburger
2000	J	`jnl`	A penalty/least-squares method for optimal control problems for first-order elliptic systems. Appl. Math. Comput. Max D. Gunzburger, Hyung-Chun Lee
2000	J	`jnl`	An Optimization-Based Domain Decomposition Method for the Navier-Stokes Equations. SIAM J. Numer. Anal. Max D. Gunzburger, Hyesuk Kwon Lee
2000	J	`jnl`	Analysis and Approximation of the Velocity Tracking Problem for Navier-Stokes Flows with Distributed Control. SIAM J. Numer. Anal. Max D. Gunzburger, Sandro Manservisi
2000	—	`conf`	Shape design of channel flows for steady, incompressible flows. CDC Max D. Gunzburger, Hong-Chul Kim, Sandro Manservisi
2000	J	`jnl`	Solution of elliptic partial differential equations by an optimization-based domain decomposition method. Appl. Math. Comput. Max D. Gunzburger, Matthias Heinkenschloss, Hyesuk K. Lee
2000	J	`jnl`	The Velocity Tracking Problem for Navier-Stokes Flows With Boundary Control. SIAM J. Control. Optim. Max D. Gunzburger, Sandro Manservisi
1999	J	`jnl`	Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions. Appl. Math. Comput. Max D. Gunzburger, Hyung-Chun Lee
1999	J	`jnl`	Analysis and computation of a mean-field model for superconductivity. Numerische Mathematik Qiang Du, Max D. Gunzburger, Hyesuk K. Lee
1999	J	`jnl`	Centroidal Voronoi Tessellations: Applications and Algorithms. SIAM Rev. Qiang Du, Vance Faber, Max D. Gunzburger
1998	J	`jnl`	Finite Element Methods of Least-Squares Type. SIAM Rev. Pavel B. Bochev, Max D. Gunzburger
1998	J	`jnl`	Issues Related to Least-Squares Finite Element Methods for the Stokes Equations. SIAM J. Sci. Comput. Jennifer M. Deang, Max D. Gunzburger
1995	J	`jnl`	On the Lawrence-Doniach and Anisotropic Ginzburg-Landau Models for Layered Superconductors. SIAM J. Appl. Math. S. Jonathan Chapman, Qiang Du, Max D. Gunzburger
1995	J	`jnl`	Viscous Vortical Flows (L. Ting and R. Klein). SIAM Rev. Max D. Gunzburger
1993	J	`jnl`	Modeling and Analysis of a Periodic Ginzburg-Landau Model for Type-II Superconductors. SIAM J. Appl. Math. Qiang Du, Max D. Gunzburger, Janet S. Peterson
1992	J	`jnl`	Analysis and Approximation of the Ginzburg-Landau Model of Superconductivity. SIAM Rev. Qiang Du, Max D. Gunzburger, Janet S. Peterson