An Efficiency-Based Adaptive Refinement Scheme Applied to Incompressible, Resistive Magnetohydrodynamics. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; J. W. Nolting; John W. Ruge; Lei Tang (LSSC, 2009)

First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (SIAM J. Sci. Comput., 2010)

Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Geoffrey D. Sanders (SIAM J. Sci. Comput., 2010)

First-order system least squares and the energetic variational approach for two-phase flow. - J. H. Adler; James J. Brannick; Chun Liu 009; Thomas A. Manteuffel; Ludmil T. Zikatanov (J. Comput. Phys., 2011)

Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; J. W. Nolting; John W. Ruge; Lei Tang (SIAM J. Sci. Comput., 2011)

Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics. - James H. Adler; Marian Brezina; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Lei Tang (SIAM J. Sci. Comput., 2013)

Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations. - J. H. Adler; V. Petkov; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2013)

Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods. - James H. Adler; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2014)

Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D. - James H. Adler; Victor Nistor (Math. Comput., 2015)

An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals. - James H. Adler; Timothy J. Atherton; David B. Emerson; Scott P. MacLachlan (SIAM J. Numer. Anal., 2015)

Energy Minimization for Liquid Crystal Equilibrium with Electric and Flexoelectric Effects. - James H. Adler; Timothy J. Atherton; Thomas R. Benson; David B. Emerson; Scott P. MacLachlan (SIAM J. Sci. Comput., 2015)

Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics. - James H. Adler; Thomas R. Benson; Eric C. Cyr; Scott P. MacLachlan; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2016)

Constrained Optimization for Liquid Crystal Equilibria. - James H. Adler; David B. Emerson; Scott P. MacLachlan; Thomas A. Manteuffel (SIAM J. Sci. Comput., 2016)

Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach. - James H. Adler; Ilya Lashuk; Scott P. MacLachlan; Ludmil T. Zikatanov (LSSC, 2017)

A drift-diffusion solver using a finite-element method to analyze carrier dynamics at ultra-high solar concentrations. - Emily S. Carlson; Margaret Stevens; David B. Emerson; Xiaozhe Hu; James H. Adler; Thomas E. Vandervelde (MWSCAS, 2017)

Preconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations. - James H. Adler; Thomas R. Benson; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2017)

Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. - J. H. Adler; David B. Emerson; Patrick E. Farrell; Scott P. MacLachlan (SIAM J. Sci. Comput., 2017)

Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions. - J. H. Adler; Xiaozhe Hu; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2017)

New Stabilized Discretizations for Poroelasticity Equations. - Francisco José Gaspar; Carmen Rodrigo; Xiaozhe Hu; Peter Ohm; James H. Adler; Ludmil T. Zikatanov (NMA, 2018)

Composite-grid multigrid for diffusion on the sphere. - James H. Adler; Ilya Lashuk; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2018)

First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations. - James H. Adler; Scott P. MacLachlan; Niall Madden (LSSC, 2019)

Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. - James H. Adler; Yunhui He; Xiaozhe Hu; Scott P. MacLachlan (Comput. Math. Appl., 2019)

An a posteriori error estimator for the weak Galerkin least-squares finite-element method. - James H. Adler; Xiaozhe Hu; Lin Mu; Xiu Ye (J. Comput. Appl. Math., 2019)

Monolithic Multigrid for Magnetohydrodynamics. - J. H. Adler; Thomas R. Benson; Eric C. Cyr; Patrick E. Farrell; Scott P. MacLachlan; Ray S. Tuminaro (CoRR, 2020)

Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations. - J. H. Adler; Francisco José Gaspar; Xiaozhe Hu; Peter Ohm; Carmen Rodrigo; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2020)

An Enriched Galerkin Method for the Stokes Equations. - Son-Young Yi; Xiaozhe Hu; Sanghyun Lee; James H. Adler; Ludmil T. Zikatanov (CoRR, 2021)

Monolithic Multigrid Methods for Magnetohydrodynamics. - James H. Adler; Thomas R. Benson; Eric C. Cyr; Patrick E. Farrell; Scott P. MacLachlan; Ray S. Tuminaro (SIAM J. Sci. Comput., 2021)

A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations. - James H. Adler; Casey Cavanaugh; Xiaozhe Hu; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2021)

An enriched Galerkin method for the Stokes equations. - Son-Young Yi; Xiaozhe Hu; Sanghyun Lee; James H. Adler (Comput. Math. Appl., 2022)

An Error Estimator for Electrically Coupled Liquid Crystals. - J. H. Adler; David B. Emerson (CoRR, 2023)

A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations. - James H. Adler; Casey Cavanaugh; Xiaozhe Hu; Andy Huang; Nathaniel Trask (SIAM J. Sci. Comput., 2023)

Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity. - James H. Adler; Yunhui He; Xiaozhe Hu; Scott P. MacLachlan; Peter Ohm (SIAM J. Sci. Comput., 2023)

A local Fourier analysis for additive Schwarz smoothers. - Álvaro Pé de la Riva; Carmen Rodrigo; Francisco José Gaspar; James H. Adler; Xiaozhe Hu; Ludmil T. Zikatanov (Comput. Math. Appl., 2024)

Improving Greedy Algorithms for Rational Approximation. - James H. Adler; Xiaozhe Hu; Xue Wang; Zhongqin Xue (CoRR, 2024)

Physics-informed nonlinear vector autoregressive models for the prediction of dynamical systems. - James H. Adler; Samuel Hocking; Xiaozhe Hu; Shafiqul Islam (CoRR, 2024)

Parameter-free preconditioning for nearly-incompressible linear elasticity. - James H. Adler; Xiaozhe Hu; Yuwen Li 001; Ludmil T. Zikatanov (Comput. Math. Appl., 2024)

Nonlinear methods for shape optimization problems in liquid crystal tactoids. - J. H. Adler; Anca S. Andrei; Timothy J. Atherton (Comput. Math. Appl., 2025)

Oscillation-Free Numerical Schemes for Biot's Model and Their Iterative Coupling Solution. - Álvaro Pé de la Riva; Francisco José Gaspar; Xiaozhe Hu; James H. Adler; Carmen Rodrigo; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2025)

A programmable environment for shape optimization and shapeshifting problems. - Chaitanya Joshi; Daniel Hellstein; Cole Wennerholm; Eoghan Downey; Emmett Hamilton; Samuel Hocking; Anca S. Andrei; James H. Adler; Timothy J. Atherton (Nat. Comput. Sci., 2025)

Error Estimates for the Arnoldi Approximation of a Matrix Square Root. - James H. Adler; Xiaozhe Hu; Wenxiao Pan; Zhongqin Xue (CoRR, 2025)