K. B. Nakshatrala

62 papers Journal 62

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A Machine Learning-Enhanced Hopf-Cole Formulation for Nonlinear Gas Flow in Porous Media. CoRR V. S. Maduru, K. B. Nakshatrala
2026	J	`jnl`	An Adaptive Machine Learning Framework for Fluid Flow in Dual-Network Porous Media. CoRR V. S. Maduri, K. B. Nakshatrala
2025	J	`jnl`	Flow Through Porous Media: A Hopf-Cole Transformation Approach for Modeling Pressure-Dependent Viscosity. CoRR V. S. Maduri, K. B. Nakshatrala
2025	J	`jnl`	Reactive Transport Modeling with Physics-Informed Machine Learning for Critical Minerals Applications. CoRR Kripa Adhikari, Md. Lal Mamud, Maruti Kumar Mudunuru, K. B. Nakshatrala
2024	J	`jnl`	Closed-loop geothermal systems: Modeling and predictions. CoRR Kripa Adhikari, Maruti Kumar Mudunuru, K. B. Nakshatrala
2024	J	`jnl`	Effect of temperature-dependent material properties on thermal regulation in microvascular composites. CoRR Kripa Adhikari, J. F. Patrick, K. B. Nakshatrala
2023	J	`jnl`	Dynamic properties of double porosity/permeability model. CoRR K. B. Nakshatrala
2023	J	`jnl`	Thermal regulation in thin vascular systems: A sensitivity analysis. CoRR K. B. Nakshatrala, Kripa Adhikari
2021	J	`jnl`	A deep learning modeling framework to capture mixing patterns in reactive-transport systems. CoRR N. V. Jagtap, Maruti Kumar Mudunuru, K. B. Nakshatrala
2021	J	`jnl`	Effect of viscous shearing stresses on optimal material designs for flow of fluids through porous media. CoRR T. Phatak, K. B. Nakshatrala
2021	J	`jnl`	How to pose material design problems for flow through porous media applications?: Sensitivity of dissipation rate to medium's permeability holds the key. CoRR K. B. Nakshatrala
2020	J	`jnl`	A modeling framework for coupling plasticity with species diffusion. CoRR M. S. Joshaghani, K. B. Nakshatrala
2020	J	`jnl`	On optimal designs using topology optimization for flow through porous media applications. CoRR T. Phatak, K. B. Nakshatrala
2019	J	`jnl`	Composable block solvers for the four-field double porosity/permeability model. J. Comput. Phys. M. S. Joshaghani, Justin Chang, K. B. Nakshatrala, Matthew G. Knepley
2019	J	`jnl`	On boundedness and growth of unsteady solutions under the double porosity/permeability model. CoRR K. B. Nakshatrala
2019	J	`jnl`	On interface conditions for flows in coupled free-porous media. CoRR K. B. Nakshatrala, M. S. Joshaghani
2019	J	`jnl`	On numerical stabilization in modeling double-diffusive viscous fingering. CoRR M. Shabouei, K. B. Nakshatrala
2018	J	`jnl`	A performance spectrum for parallel computational frameworks that solve PDEs. Concurr. Comput. Pract. Exp. Justin Chang, K. B. Nakshatrala, Matthew G. Knepley, S. Lennart Johnsson
2018	J	`jnl`	A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity. J. Comput. Phys. N. K. Mapakshi, Justin Chang, K. B. Nakshatrala
2018	J	`jnl`	A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model. CoRR M. S. Joshaghani, S. H. S. Joodat, K. B. Nakshatrala
2018	J	`jnl`	Composable block solvers for the four-field double porosity/permeability model. CoRR M. S. Joshaghani, Justin Chang, K. B. Nakshatrala, Matthew G. Knepley
2018	J	`jnl`	Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals. CoRR W. Witarto, K. B. Nakshatrala, Y. L. Mo
2017	J	`jnl`	A performance spectrum for parallel computational frameworks that solve PDEs. CoRR Justin Chang, K. B. Nakshatrala, Matthew G. Knepley, S. Lennart Johnsson
2017	J	`jnl`	A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity. CoRR N. K. Mapakshi, Justin Chang, K. B. Nakshatrala
2017	J	`jnl`	Large-Scale Optimization-Based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies. J. Sci. Comput. Justin Chang, Satish Karra, K. B. Nakshatrala
2017	J	`jnl`	Modeling flow in porous media with double porosity/permeability: A stabilized mixed formulation, error analysis, and numerical solutions. CoRR S. H. S. Joodat, K. B. Nakshatrala, R. Ballarini
2016	J	`jnl`	A hybrid multi-time-step framework for pore-scale and continuum-scale modeling of solute transport in porous media. CoRR S. Karimi, K. B. Nakshatrala
2016	J	`jnl`	Modeling flow in porous media with double porosity/permeability: Mathematical model, properties, and analytical solutions. CoRR K. B. Nakshatrala, S. H. S. Joodat, R. Ballarini
2016	J	`jnl`	On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method. J. Comput. Phys. Maruti Kumar Mudunuru, K. B. Nakshatrala
2016	J	`jnl`	Variational inequality approach to enforce the non-negative constraint for advection-diffusion equations. CoRR Justin Chang, K. B. Nakshatrala
2015	J	`jnl`	Do current lattice Boltzmann methods for diffusion-type equations respect maximum principles and the non-negative constraint? CoRR S. Karimi, K. B. Nakshatrala
2015	J	`jnl`	Large-scale Optimization-based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies. CoRR Justin Chang, Satish Karra, K. B. Nakshatrala
2015	J	`jnl`	Material degradation due to moisture and temperature. Part 1: Mathematical model, analysis, and analytical solutions. CoRR C. Xu, Maruti Kumar Mudunuru, K. B. Nakshatrala
2015	J	`jnl`	On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method. CoRR Maruti Kumar Mudunuru, K. B. Nakshatrala
2015	J	`jnl`	On mechanics-based a posteriori criteria to assess accuracy of numerical solutions for Darcy and Darcy-Brinkman equations. CoRR M. Shabouei, K. B. Nakshatrala
2015	J	`jnl`	On mesh restrictions to satisfy comparison principles, maximum principles, and the non-negative constraint: Recent developments and new results. CoRR Maruti Kumar Mudunuru, K. B. Nakshatrala
2014	J	`jnl`	A monolithic multi-time-step computational framework for advective-diffusive-reactive transient systems with disparate scales. CoRR S. Karimi, K. B. Nakshatrala
2014	J	`jnl`	On multi-time-step monolithic coupling algorithms for elastodynamics. J. Comput. Phys. S. Karimi, K. B. Nakshatrala
2013	J	`jnl`	A framework for coupling flow and deformation of the porous solid CoRR Daniel Z. Turner, K. B. Nakshatrala, M. J. Martinez
2013	J	`jnl`	A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint. J. Comput. Phys. K. B. Nakshatrala, Maruti Kumar Mudunuru, Albert J. Valocchi
2013	J	`jnl`	Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations. CoRR Justin Chang, K. B. Nakshatrala
2013	J	`jnl`	On multi-time-step monolithic coupling algorithms for elastodynamics CoRR S. Karimi, K. B. Nakshatrala
2012	J	`jnl`	A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and non-negative constraint. CoRR K. B. Nakshatrala, Maruti Kumar Mudunuru, Albert J. Valocchi
2012	J	`jnl`	A numerical methodology for enforcing maximum principles and the non-negative constraint for transient diffusion equations CoRR K. B. Nakshatrala, Harsha Nagarajan
2011	J	`jnl`	A framework for coupled deformation-diffusion analysis with application to degradation/healing CoRR Maruti Kumar Mudunuru, K. B. Nakshatrala
2011	J	`jnl`	A mixed formulation for a modification to Darcy equation based on Picard linearization and numerical solutions to large-scale realistic problems. CoRR K. B. Nakshatrala, Daniel Z. Turner
2011	J	`jnl`	On the performance of high-order finite elements with respect to maximum principles and the non-negative constraint for diffusion-type equations. CoRR G. S. Payette, K. B. Nakshatrala, J. N. Reddy
2010	J	`jnl`	A stabilized mixed formulation for unsteady Brinkman equation based on the method of horizontal lines CoRR S. Srinivasan, K. B. Nakshatrala
2010	J	`jnl`	Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids CoRR Harsha Nagarajan, K. B. Nakshatrala
2010	J	`jnl`	On the performance of the variational multiscale formulation for subsurface flow and transport in heterogeneous porous media CoRR Daniel Z. Turner, K. B. Nakshatrala, P. K. Notz
2010	J	`jnl`	On the vibrations of lumped parameter systems governed by differential-algebraic equations. J. Frankl. Inst. Swaroop Darbha, K. B. Nakshatrala, K. R. Rajagopal
2009	J	`jnl`	A numerical study of fluids with pressure dependent viscosity flowing through a rigid porous media CoRR K. B. Nakshatrala, K. R. Rajagopal
2009	J	`jnl`	Non-negative mixed finite element formulations for a tensorial diffusion equation. J. Comput. Phys. K. B. Nakshatrala, Albert J. Valocchi
2009	J	`jnl`	On dual Schur domain decomposition method for linear first-order transient problems. J. Comput. Phys. K. B. Nakshatrala, Arun Prakash, K. D. Hjelmstad
2009	J	`jnl`	On the vibrations of lumped parameter systems governed by differential-algebraic equations CoRR Swaroop Darbha, K. B. Nakshatrala, K. R. Rajagopal
2009	J	`jnl`	Variational structure of the optimal artificial diffusion method for the advection-diffusion equation CoRR K. B. Nakshatrala, Albert J. Valocchi
2008	J	`jnl`	A stabilized finite element formulation for advection-diffusion using the generalized finite element framework CoRR Daniel Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
2008	J	`jnl`	Consistent Newton-Raphson vs. fixed-point for variational multiscale formulations for incompressible Navier-Stokes CoRR Daniel Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
2008	J	`jnl`	Non-negative mixed finite element formulations for a tensorial diffusion equation CoRR K. B. Nakshatrala, Albert J. Valocchi
2008	J	`jnl`	Numerical method for Darcy flow derived using Discrete Exterior Calculus. CoRR Anil N. Hirani, K. B. Nakshatrala, Jehanzeb Hameed Chaudhry
2008	J	`jnl`	On dual Schur domain decomposition method for linear first-order transient problems CoRR K. B. Nakshatrala, Arun Prakash, K. D. Hjelmstad
2008	J	`jnl`	On the stability of bubble functions and a stabilized mixed finite element formulation for the Stokes problem CoRR Daniel Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad