K. B. Nakshatrala

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 26

Top Topics

Numerical Solution

Computational Framework

Sensitivity Analysis

Top Venues

J. Comput. Phys.

Concurr. Comput. Pract. Exp.

J. Sci. Comput.

Publications

K. Adhikari, Maruti Kumar Mudunuru, K. B. Nakshatrala
Closed-loop geothermal systems: Modeling and predictions. CoRR (2024)
K. Adhikari, J. F. Patrick, K. B. Nakshatrala
Effect of temperature-dependent material properties on thermal regulation in microvascular composites. CoRR (2024)
K. B. Nakshatrala, K. Adhikari
Thermal regulation in thin vascular systems: A sensitivity analysis. CoRR (2023)
K. B. Nakshatrala
Dynamic properties of double porosity/permeability model. CoRR (2023)
N. V. Jagtap, Maruti Kumar Mudunuru, K. B. Nakshatrala
A deep learning modeling framework to capture mixing patterns in reactive-transport systems. CoRR (2021)
T. Phatak, K. B. Nakshatrala
Effect of viscous shearing stresses on optimal material designs for flow of fluids through porous media. CoRR (2021)
K. B. Nakshatrala
How to pose material design problems for flow through porous media applications?: Sensitivity of dissipation rate to medium's permeability holds the key. CoRR (2021)
M. S. Joshaghani, K. B. Nakshatrala
A modeling framework for coupling plasticity with species diffusion. CoRR (2020)
T. Phatak, K. B. Nakshatrala
On optimal designs using topology optimization for flow through porous media applications. CoRR (2020)
M. Shabouei, K. B. Nakshatrala
On numerical stabilization in modeling double-diffusive viscous fingering. CoRR (2019)
K. B. Nakshatrala
On boundedness and growth of unsteady solutions under the double porosity/permeability model. CoRR (2019)
M. S. Joshaghani, Justin Chang, K. B. Nakshatrala, Matthew G. Knepley
Composable block solvers for the four-field double porosity/permeability model. J. Comput. Phys. 386 (2019)
K. B. Nakshatrala, M. S. Joshaghani
On interface conditions for flows in coupled free-porous media. CoRR (2019)
Justin Chang, K. B. Nakshatrala, Matthew G. Knepley, S. Lennart Johnsson
A performance spectrum for parallel computational frameworks that solve PDEs. Concurr. Comput. Pract. Exp. 30 (11) (2018)
M. S. Joshaghani, S. H. S. Joodat, K. B. Nakshatrala
A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model. CoRR (2018)
W. Witarto, K. B. Nakshatrala, Y. L. Mo
Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals. CoRR (2018)
N. K. Mapakshi, Justin Chang, K. B. Nakshatrala
A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity. J. Comput. Phys. 359 (2018)
M. S. Joshaghani, Justin Chang, K. B. Nakshatrala, Matthew G. Knepley
Composable block solvers for the four-field double porosity/permeability model. CoRR (2018)
S. H. S. Joodat, K. B. Nakshatrala, R. Ballarini
Modeling flow in porous media with double porosity/permeability: A stabilized mixed formulation, error analysis, and numerical solutions. CoRR (2017)
Justin Chang, Satish Karra, K. B. Nakshatrala
Large-Scale Optimization-Based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies. J. Sci. Comput. 70 (1) (2017)
N. K. Mapakshi, Justin Chang, K. B. Nakshatrala
A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity. CoRR (2017)
Justin Chang, K. B. Nakshatrala, Matthew G. Knepley, S. Lennart Johnsson
A performance spectrum for parallel computational frameworks that solve PDEs. CoRR (2017)
Justin Chang, K. B. Nakshatrala
Variational inequality approach to enforce the non-negative constraint for advection-diffusion equations. CoRR (2016)
K. B. Nakshatrala, S. H. S. Joodat, R. Ballarini
Modeling flow in porous media with double porosity/permeability: Mathematical model, properties, and analytical solutions. CoRR (2016)
S. Karimi, K. B. Nakshatrala
A hybrid multi-time-step framework for pore-scale and continuum-scale modeling of solute transport in porous media. CoRR (2016)
Maruti Kumar Mudunuru, K. B. Nakshatrala
On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method. J. Comput. Phys. 305 (2016)
M. Shabouei, K. B. Nakshatrala
On mechanics-based a posteriori criteria to assess accuracy of numerical solutions for Darcy and Darcy-Brinkman equations. CoRR (2015)
S. Karimi, K. B. Nakshatrala
Do current lattice Boltzmann methods for diffusion-type equations respect maximum principles and the non-negative constraint? CoRR (2015)
Maruti Kumar Mudunuru, K. B. Nakshatrala
On mesh restrictions to satisfy comparison principles, maximum principles, and the non-negative constraint: Recent developments and new results. CoRR (2015)
Justin Chang, Satish Karra, K. B. Nakshatrala
Large-scale Optimization-based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies. CoRR (2015)
C. Xu, Maruti Kumar Mudunuru, K. B. Nakshatrala
Material degradation due to moisture and temperature. Part 1: Mathematical model, analysis, and analytical solutions. CoRR (2015)
Maruti Kumar Mudunuru, K. B. Nakshatrala
On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method. CoRR (2015)
S. Karimi, K. B. Nakshatrala
A monolithic multi-time-step computational framework for advective-diffusive-reactive transient systems with disparate scales. CoRR (2014)
S. Karimi, K. B. Nakshatrala
On multi-time-step monolithic coupling algorithms for elastodynamics. J. Comput. Phys. 273 (2014)
Justin Chang, K. B. Nakshatrala
Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations. CoRR (2013)
S. Karimi, K. B. Nakshatrala
On multi-time-step monolithic coupling algorithms for elastodynamics CoRR (2013)
K. B. Nakshatrala, Maruti Kumar Mudunuru, Albert J. Valocchi
A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint. J. Comput. Phys. 253 (2013)
D. Z. Turner, K. B. Nakshatrala, M. J. Martinez
A framework for coupling flow and deformation of the porous solid CoRR (2013)
K. B. Nakshatrala, Harsha Nagarajan
A numerical methodology for enforcing maximum principles and the non-negative constraint for transient diffusion equations CoRR (2012)
K. B. Nakshatrala, Maruti Kumar Mudunuru, Albert J. Valocchi
A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and non-negative constraint. CoRR (2012)
Maruti Kumar Mudunuru, K. B. Nakshatrala
A framework for coupled deformation-diffusion analysis with application to degradation/healing CoRR (2011)
G. S. Payette, K. B. Nakshatrala, J. N. Reddy
On the performance of high-order finite elements with respect to maximum principles and the non-negative constraint for diffusion-type equations. CoRR (2011)
K. B. Nakshatrala, D. Z. Turner
A mixed formulation for a modification to Darcy equation based on Picard linearization and numerical solutions to large-scale realistic problems. CoRR (2011)
Swaroop Darbha, K. B. Nakshatrala, K. R. Rajagopal
On the vibrations of lumped parameter systems governed by differential-algebraic equations. J. Frankl. Inst. 347 (1) (2010)
S. Srinivasan, K. B. Nakshatrala
A stabilized mixed formulation for unsteady Brinkman equation based on the method of horizontal lines CoRR (2010)
Harsha Nagarajan, K. B. Nakshatrala
Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids CoRR (2010)
D. Z. Turner, K. B. Nakshatrala, P. K. Notz
On the performance of the variational multiscale formulation for subsurface flow and transport in heterogeneous porous media CoRR (2010)
K. B. Nakshatrala, Arun Prakash, K. D. Hjelmstad
On dual Schur domain decomposition method for linear first-order transient problems. J. Comput. Phys. 228 (21) (2009)
Swaroop Darbha, K. B. Nakshatrala, K. R. Rajagopal
On the vibrations of lumped parameter systems governed by differential-algebraic equations CoRR (2009)
K. B. Nakshatrala, K. R. Rajagopal
A numerical study of fluids with pressure dependent viscosity flowing through a rigid porous media CoRR (2009)
K. B. Nakshatrala, Albert J. Valocchi
Variational structure of the optimal artificial diffusion method for the advection-diffusion equation CoRR (2009)
K. B. Nakshatrala, Albert J. Valocchi
Non-negative mixed finite element formulations for a tensorial diffusion equation. J. Comput. Phys. 228 (18) (2009)
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
A stabilized finite element formulation for advection-diffusion using the generalized finite element framework CoRR (2008)
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
On the stability of bubble functions and a stabilized mixed finite element formulation for the Stokes problem CoRR (2008)
K. B. Nakshatrala, Arun Prakash, K. D. Hjelmstad
On dual Schur domain decomposition method for linear first-order transient problems CoRR (2008)
Anil N. Hirani, K. B. Nakshatrala, Jehanzeb Hameed Chaudhry
Numerical method for Darcy flow derived using Discrete Exterior Calculus. CoRR (2008)
K. B. Nakshatrala, Albert J. Valocchi
Non-negative mixed finite element formulations for a tensorial diffusion equation CoRR (2008)
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
Consistent Newton-Raphson vs. fixed-point for variational multiscale formulations for incompressible Navier-Stokes CoRR (2008)