Under Review
  1. J. H. Adler, F. J. Gaspar, X. Hu, C. Rodrigo, and L. T. Zikatanov. Robust block preconditioners for Biot's model. Submitted, 2017.

  2. 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. Submitted, 2017.

  3. J. H. Adler, Y. He, X. Hu, and S. P. MacLachlan. Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. Submitted, 2016.

  4. J. H. Adler, I. Lashuk, and S. P. MacLachlan. Composite-Grid Multigrid for Diffusion on the Sphere. Submitted, 2016.

  5. S. Sarkar, P. Sabhachandani, J. H. Adler, X. Hu, D. Stroopinski, J. Rosenblatt, D. Avigan, and T. Konry. Modeling Myeloma Cell Dynamics and Cytolysis in Microfluidic Droplet. Submitted, 2016.
Refereed Publications
  1. 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 a deflation algorithm. Appearing in Liquid Crystals, 2017.

  2. J. H. Adler, X. Hu, and L. T. Zikatanov. Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions. Appearing in SIAM J. Sci. Comput. (SISC), 2017.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. 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.

  9. 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.

  10. 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.

  11. 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.

  12. 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.

  13. 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.

  14. 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.

  15. 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.

  16. 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.

  17. 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.

  18. 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.

  19. 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.

  20. 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.

  21. 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.

  22. 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.
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
  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.

Publications on arXiv.