Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations. - Justin Chang 001; K. B. Nakshatrala (CoRR, 2013)

Variational inequality approach to enforce the non-negative constraint for advection-diffusion equations. - Justin Chang 001; K. B. Nakshatrala (CoRR, 2016)

Large-Scale Optimization-Based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies. - Justin Chang 001; Satish Karra; K. B. Nakshatrala (J. Sci. Comput., 2017)

A performance spectrum for parallel computational frameworks that solve PDEs. - Justin Chang 001; K. B. Nakshatrala; Matthew G. Knepley; S. Lennart Johnsson (Concurr. Comput. Pract. Exp., 2018)

A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity. - N. K. Mapakshi; Justin Chang 001; K. B. Nakshatrala (J. Comput. Phys., 2018)

Comparative Study of Finite Element Methods Using the Time-Accuracy-Size(TAS) Spectrum Analysis. - Justin Chang 001; Maurice S. Fabien; Matthew G. Knepley; Richard Tran Mills (SIAM J. Sci. Comput., 2018)

Composable block solvers for the four-field double porosity/permeability model. - M. S. Joshaghani; Justin Chang 001; K. B. Nakshatrala; Matthew G. Knepley (J. Comput. Phys., 2019)

A Segregated Approach for Modeling the Electrochemistry in the 3-D Microstructure of Li-Ion Batteries and Its Acceleration Using Block Preconditioners. - Jeffery M. Allen; Justin Chang 001; Francois L. E. Usseglio-Viretta; Peter A. Graf; Kandler A. Smith (J. Sci. Comput., 2021)