Under Review
  1. J. H. Adler, A. S. Andrei, and T. J. Atherton. Nonlinear methods for shape optimization problems in liquid crystal tactoids. Submitted, 2023.

  2. J. H. Adler, D. B. Emerson. An error estimator for electrically coupled liquid crystals. Submitted, 2023.

  3. C. Joshi, D. Goldstein, C. Wennerholm, E. Downey, E. Hamilton, S. Hocking, A. Andrei, J. H. Adler, and T. J. Atherton. Morpho - A programmable environment for shape optimization and shapeshifting problems. Submitted, 2022.

Refereed Publications
  1. J. H. Adler, X. Hu, Y. Li, and L. T. Zikatanov. Parameter-free preconditioning for nearly-incompressible linear elasticity. Comp. Math. Appl., 154:39-44, 2024.

  2. A. Pe de la Riva, C. Rodrigo, F. J. Gaspar, J. H. Adler, X. Hu, and L. T. Zikatanov.A local Fourier analysis for additive Schwarz smooothers. Comp. Math. Appl., 158:13-20, 2024.

  3. J.H. Adler, C. Cavanaugh, X. Hu, A. Huang, and N. Trask. A stable mimetic finite-difference method for convection-dominated diffusion equations. SIAM J. Sci. Comput. (SISC), 45(6):A2973-A3000, 2023.

  4. J. H. Adler, Y. He, X. Hu, S. P. MacLachlan, and P. Ohm. Monolithic multigrid for a reduced-quadrature discretization of poroelasticity. SIAM J. Sci. Comput. (SISC),45(3):S54-S81, 2023.

  5. C. Rodrigo, F. J. Gaspar, J. H. Adler, X. Hu, P. Ohm, and L. T. Zikatanov. Parameter-robust preconditioners for Biot's model. SeMA Journal, 2023.

  6. S.-Y. Yi, X. Hu, S. Lee, and J.H. Adler. An enriched Galerkin method for the Stokes equations. Comput. Math. Appl., 120:115-131, 2022.

  7. J. H. Adler, T. Benson, E. C. Cyr, P. E. Farrell, S. MacLachlan, and R. Tuminaro. Monolithic multigrid methods for magnetohydrodynamics. SIAM J. Sci. Comput. (SISC), 43(5):S70-S91, 2021.

  8. J. H. Adler, C. Cavanaugh, X. Hu, and L. T. Zikatanov. A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations. SIAM J. Sci. Comput. (SISC), 43(4):A2638-A2659, 2021.

  9. J. H. Adler, F. J. Gaspar, X. Hu, P. Ohm, C. Rodrigo, and L. T. Zikatanov. Robust preconditioners for a new stabilized discretization of the poroelastic equations. SIAM J. Sci. Comput. (SISC), 42(3):B761-B791, 2020.

  10. J. H. Adler, S. MacLachlan, and N. Madden. First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations. In Ivan Lirkov and Svetozar Margenov, editors, Large-Scale Scientific Computing, volume 11958 of Lecture Notes in Computer Science, pages 3--14. Springer, Cham, 2020.

  11. J. H. Adler, Y. He, X. Hu, and S. P. MacLachlan. Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. Comput. Math. Appl., 77(2):476-493, 2019.

  12. J. H. Adler, X. Hu, L. Mu, and X. Ye. An a posteriori error estimator for the weak Galerkin Least-Squares Finite-Element Method. J. Comput. Appl. Math., 362:383-399, 2019.

  13. S. Sarkar, S. McKenney, P. Sabhachandani, J. H. Adler, X. Hu, D. Stroopinksy, J. Rosenblatt, D. Avigan, and T. Konry. Anti-myeloma activity and molecular logic operation by Natural Killer cells in microfluidic droplets. Sens. Actuators, B-Chem., 282:580-589, 2019.

  14. J. H. Adler, F. J. Gaspar, X. Hu, C. Rodrigo, and L. T. Zikatanov. Robust block preconditioners for Biot's model. In Petter E. Bjorstad, Susanne C. Brenner, Lawrence Halpern, Hyea Hyun Kim, Ralf Kornhuber, Talal Rahman, and Olof B. Widlund, editors, Domain Decomposition Methods in Science and Engineering XXIV, volume 125 of Lecture Notes in Computational Science adn Engineering, pages 3-16. Springer, Cham, 2018.

  15. J. H. Adler, I. Lashuk, and S. P. MacLachlan. Composite-Grid Multigrid for Diffusion on the Sphere. Numer. Linear Algebra Appl., 25(1):e2115, 2018.

  16. J. H. Adler, I. Lashuk, S. P. MacLachlan, and L. T. Zikatanov. Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach. In Ivan Lirkov and Svetozar Margenov, editors, Large-Scale Scientific Computing, volume 10665 of Lecture Notes in Computer Science, pages 3-20. Springer, Cham, 2018.

  17. D. B. Emerson, P. E. Farrell, J. H. Adler, S. P. MacLachlan, and T. J. Atherton. Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms. Liq. Cryst., 45(3):341-350, 2018.

  18. C. Rodrigo, X. Hu, P. Ohm, J. H. Adler, F. J. Gaspar, and L. T. Zikatanov. New stabilized discretizations for poroelasticity and the Stokes' equations. Comput. Methods Appl. Mech. Engrg., 341:467-484, 2018.

  19. J. H. Adler, T. R. Benson, and S. P. MacLachlan. Preconditioning a Mass-Conserving Discontinuous Galerkin Discretization of the Stokes Equations. Numer. Linear Algebra Appl., 24(3):e2047, 2017.

  20. J. H. Adler, D. B. Emerson, P. E. Farrell, and S. P. MacLachlan. Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. SIAM J. Sci. Comput. (SISC), 39(1):B29-B52, 2017.

  21. J. H. Adler, X. Hu, and L. T. Zikatanov. Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions. SIAM J. Sci. Comput. (SISC), 39(5):S3-S23, 2017.

  22. J. H. Adler, T. R. Benson, E. C. Cyr, S. P. MacLachlan, and R. S. Tuminaro. Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics. SIAM J. Sci. Comput. (SISC), 38(1):B1-B24, 2016.

  23. J. H. Adler, D. B. Emerson, S. P. MacLachlan, and T. A. Manteuffel. Constrained Optimization for Liquid Crystal Equilibria. SIAM J. Sci. Comput. (SISC), 38(1):B50-B76, 2016.

  24. J. H. Adler, S. P. MacLachlan, N. Madden. A First-Order System Petrov-Galerkin Discretisation for a Reaction-Diffusion Problem on a fitted mesh. IMA J. Numer. Anal., 36(3):1281-1309, 2016.

  25. A. DeBenedictis, T. J. Atherton, C. Anquetil-Deck, D. J. Cleaver, D. B. Emerson, M. Wolak, and J. H. Adler. Competition of lattice and basis for alignment of nematic liquid crystals. Phys. Rev. E, 92:042501, Oct 2015.

  26. J. H. Adler, T. J. Atherton, T. R. Benson, D. B. Emerson, and S. P. MacLachlan. Energy Minimization for Liquid Crystal Equilibrium with Electric and Flexoelectric Effects. SIAM J. Sci. Comput. (SISC), 37(5):S157-S176, 2015.

  27. J. H. Adler, T. J. Atherton, D. B. Emerson, and S. P. MacLachlan. An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals. SIAM J. Numer. Anal. (SINUM), 53(5):2226-2254, 2015.

  28. J. H. Adler and V. Nistor. Graded Mesh Approximation in Weighted Sobolev Spaces and Elliptic Equations in 2D. Math. Comp., 84(295):2191-2220, 2015.

  29. J. H. Adler, L. Dorfmann, D. Han, S. P. MacLachlan, and C. Paetsch. Mathematical and Computational Models of Incompressible Materials Subject to Shear. IMA J. Appl. Math., 79(5):889-914, 2014.

  30. J. H. Adler and P. S. Vassilevski. Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods. SIAM J. Sci. Comput. (SISC), 36(3):A1071-A1088, 2014.

  31. J. H. Adler, M. Brezina, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang. Island Coalescence using Parallel First-Order System Least-Squares on Incompressible Resistive Magnetohydrodynamics. SIAM J. Sci. Comput. (SISC), 35(5):S171-S191, 2013.

  32. J. H. Adler, V. M. Petkov, L. T. Zikatanov. Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations. SIAM J. Sci. Comput. (SISC), 35(5):S386-S401, 2013.

  33. J. H. Adler and P. S. Vassilevski. Improving Conservation for First-Order System Least Squares Finite-Element Methods. In Oleg P. Iliev, Svetozar D. Margenov, Peter D. Minev, Panayot S. Vassilevski, and Ludmil T. Zikatanov, editors, Numerical Solution of Partial Differential Equations: Theory, Algorithms and their Applications, volume 45 of Springer Proceedings in Mathematics and Statistics, pages 1-19. Springer New York, 2013.

  34. T. J. Atherton and J. H. Adler. Competition of Elasticity and Flexoelectricity for Bistable Alignment of Nematics on Patterned Substrates. Phys. Rev. E, Rapid Communications, 86:040701, Oct. 2012.

  35. J. H. Adler, J. Brannick, C. Liu, T. Manteuffel, and L. Zikatanov. First-order system least squares and the energetic variational approach for two-phase flow. J. Comput. Phys., 230(17):6647-6663, July 2011.

  36. J. H. Adler, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang. Efficiency-based adaptive local refinement for first-order system least-squares formulations. SIAM J. Sci. Comput. (SISC), 33(1):1-24, 2011.

  37. J. H. Adler, T. Manteuffel, S. McCormick, and J. Ruge. First-order system least squares for incompressible resistive magnetohydrodynamics. SIAM J. Sci. Comput. (SISC), 32(1):229-248, 2010.

  38. J. H. Adler, T. Manteuffel, S. McCormick, J. Ruge, and G. Sanders. Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. SIAM J. Sci. Comput. (SISC), 32(3):1506-1526, 2010.

  39. J. H. Adler, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang. An effciency-based adaptive refinement scheme applied to incompressible, resistive magnetohydrodynamics. In Ivan Lirkov, Svetozar Margenov, and Jerzy Wasniewski, editors, Large-Scale Scientific Computing, volume 5910 of Lecture Notes in Computer Science, pages 1-13. Springer Berlin / Heidelberg, 2010.
Non-Refereed Proceedings
  1. M. A. Stevens, C. Downs, D. B. Emerson, J. H. Adler, S. P. MacLachlan, T.E. Vandervelde. Studying Anomalous Open-Circuit Voltage Drop-Out in Concentrated Photovoltaics Using Computational Numerical Analysis. Photovoltaic Specialists Conference (PVSC), 42nd IEEE, New Orleans, June 14-19, 2015.

  2. M. A. Stevens, C. Downs, D. B. Emerson, J. H. Adler, S. P. MacLachlan, and T. E. Vandervelde. Predicting VOC in Concentrated Photovoltaics Using Computation Numerical Analysis. 30th European Photovoltaic Solar Energy Conference (EUPVSC) Proceedings, Hamburg, Germany, 2015.

  3. T. J. Atherton and J. H. Adler. Multistable alignment of nematic liquid crystals on patterned surfaces. In Proceedings of the International Meeting on Information Display, Daegu, Korea August 28-31 2012.

  4. J. H. Adler, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang. A parallel adaptive first-order system least-squares (FOSLS) algorithm for incompressible, resistive magnetohydrodynamics (MHD). In Proceedings of the Ninth International Conference of Numerical Analysis and Applied Mathematics, Halkidiki, Greece, September 19-24 2011.
Technical Reports (not refereed)
  1. J. H. Adler, T. J. Atherton, D. B. Emerson, and S. P. MacLachlan. An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals: Continuum and Discrete Analysis. Technical Report, Tufts University, 2014.

  2. J. H. Adler, D. B. Emerson, S. P. MacLachlan, and T. A. Manteuffel. Constrained Optimization for Liquid Crystal Equilibria: Extended Results. Technical Report, Tufts University, 2014.
PhD Thesis
  1. J. H. Adler. Nested iteration and first-order systems least squares for incompressible resistive magnetohydrodynamics. ProQuest LLC, Ann Arbor, MI, 2009. Thesis (Ph.D.)-University of Colorado at Boulder.