J. H. Chaudhry. A Posteriori Analysis and Efficient Refinement Strategies for the Poisson-Boltzmann Equation SIAM Journal on Scientific Computing (2018). [Text]
J. H. Chaudhry, N. Burch and D. Estep. Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries. SIAM/ASA Journal on Uncertainty Quantification (2018). [Text]
J. H. Chaudhry, J. N. Shadid and T. Wildey. A Posteriori analysis of an IMEX Entropy-Viscosity formulation for Hyperbolic conservation laws with dissipation. Applied Numerical Mathematics (2018). [Text]
J. H. Chaudhry, J. B. Collins and J. N. Shadid. A Posteriori Error Estimation for Multi-Stage Runge-Kutta IMEX Schemes. Applied Numerical Mathematics (2017). [Text]
J. H. Chaudhy, D. Esep and M. Gunzburger. Exploration of Efficient Reduced-Order Modeling and A Posteriori Error Estimation. International Journal for Numerical Methods in Engineering (2017) [Text]
J. H. Chaudhry, D. Estep, S. Tavener, V. Carey, and J. Sandelin. A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm. SIAM Journal on Numerical Analysis (2016).[Text]
J. H. Chaudhry, D. Estep, V. Ginting, J. N. Shadid, and S. Tavenver. A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations. Computer Methods in Applied Mechanics and Engineering (2015).[Text]
J. H. Chaudhry, D. Estep, V. Ginting, and S. Tavenver. A posteriori analysis of iterative evolution solvers for non-autonomous problems. SIAM/ASA Journal on Uncertainty Quantification (2015).[Text]
A. Johansson, J. H. Chaudhry, V. Carey, D. Estep, V. Ginting, M. Larson, and S. Tavenver. Adaptive finite element solution of multiscale PDE-ODE systems. Computer Methods in Applied Mechanics and Engineering (2015).[Text]
A. N. Hirani, K. B. Nakshatrala, and J. H. Chaudhry. Numerical method for Darcy flow derived using Discrete Exterior Calculus. International Journal for Computational Methods in Engineering Science and Mechanics. (2015). [Text]
J. H. Chaudhry, K. Liu, K. Liu, T. A. Manteuffel, L. N. Olson, and L. Tang. Enhancing Least-Squares finite element methods through a Quantity-of-Interest. SIAM Journal on Numerical Analysis (2014). [Text]
J. H. Chaudhry, J. Comer, A. Aksimentiev, and L. N. Olson. A stabilized finite element method for modified Poisson-Nernst-Planck equations to determine ion flow through a nanopore. Communications in Computational Physics (2014). [Text or Text ]
J. H. Chaudhry, D. Estep, V. Ginting, and S. Tavenver. A posteriori analysis of an iterative multi-discretization method for reaction-diffusion systems. Computer Methods in Applied Mechanics and Engineering, 267:1 (2013). [Text]
J. H. Chaudhry, S. D. Bond, and L. N. Olson. A weighted adaptive least-squares finite element method for the Poisson-Boltzmann equation. Applied Mathematics and Computation (2012). [Text]
J. H. Chaudhry, S. D. Bond, and L. N. Olson. Finite element approximation to a finite-size modified Poisson-Boltzmann equation. Journal of Scientific Computing (2011). [Text]
S. D. Bond, J. H. Chaudhry, E. C. Cyr, and L. N. Olson. A first-order system least-squares finite element method for the Poisson-Boltzmann equation. Journal of Computational Chemistry (2010). [Text]
J. H. Chaudhry. Finite element methods for implicit solvent models. Ph.D. thesis, University of Illinois at Urbana-Champaign, Department of Computer Science (2011). [Text]