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ORCIDK. B. Nakshatrala
Person information
- affiliation: University of Houston, TX, USA
- affiliation (former): Texas A&M University, College Station, TX, USA
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Journal Articles
- 2019
[j10]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: 428-466 (2019)- 2018
- [j9]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) - [j8]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: 137-163 (2018) - 2017
- [j7]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): 243-271 (2017) - 2016
- [j6]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: 448-493 (2016) - 2014
- [j5]S. Karimi, K. B. Nakshatrala:
On multi-time-step monolithic coupling algorithms for elastodynamics. J. Comput. Phys. 273: 671-705 (2014) - 2013
- [j4]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: 278-307 (2013) - 2010
- [j3]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): 87-101 (2010) - 2009
- [j2]K. B. Nakshatrala, Albert J. Valocchi:
Non-negative mixed finite element formulations for a tensorial diffusion equation. J. Comput. Phys. 228(18): 6726-6752 (2009) - [j1]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): 7957-7985 (2009)
Informal and Other Publications
- 2024
- [i51]K. Adhikari, J. F. Patrick, K. B. Nakshatrala:
Effect of temperature-dependent material properties on thermal regulation in microvascular composites. CoRR abs/2401.03103 (2024) - 2023
- [i50]N. V. Jagtap, Maruti Kumar Mudunuru, Kalyana B. Nakshatrala:
CoolPINNs: A Physics-informed Neural Network Modeling of Active Cooling in Vascular Systems. CoRR abs/2303.05300 (2023) - [i49]K. B. Nakshatrala, K. Adhikari:
Thermal regulation in thin vascular systems: A sensitivity analysis. CoRR abs/2303.06708 (2023) - [i48]K. B. Nakshatrala:
Dynamic properties of double porosity/permeability model. CoRR abs/2308.15715 (2023) - 2022
- [i47]Kalyana B. Nakshatrala:
Modeling thermal regulation in thin vascular systems: A mathematical analysis. CoRR abs/2208.07397 (2022) - 2021
- [i46]N. V. Jagtap, Maruti Kumar Mudunuru, K. B. Nakshatrala:
A deep learning modeling framework to capture mixing patterns in reactive-transport systems. CoRR abs/2101.04227 (2021) - [i45]T. Phatak, K. B. Nakshatrala:
Effect of viscous shearing stresses on optimal material designs for flow of fluids through porous media. CoRR abs/2104.07103 (2021) - [i44]D. Oniz, Y. L. Mo, Kalyana B. Nakshatrala:
Shapley values and machine learning to characterize metamaterials for seismic applications. CoRR abs/2108.00493 (2021) - [i43]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 abs/2110.10827 (2021) - 2020
- [i42]T. Phatak, K. B. Nakshatrala:
On optimal designs using topology optimization for flow through porous media applications. CoRR abs/2010.05991 (2020) - [i41]M. S. Joshaghani, K. B. Nakshatrala:
A modeling framework for coupling plasticity with species diffusion. CoRR abs/2011.06652 (2020) - 2019
- [i40]K. B. Nakshatrala, M. S. Joshaghani:
On interface conditions for flows in coupled free-porous media. CoRR abs/1902.02510 (2019) - [i39]M. Shabouei, K. B. Nakshatrala:
On numerical stabilization in modeling double-diffusive viscous fingering. CoRR abs/1907.03859 (2019) - [i38]K. B. Nakshatrala:
On boundedness and growth of unsteady solutions under the double porosity/permeability model. CoRR abs/1908.05771 (2019) - 2018
- [i37]M. S. Joshaghani, S. H. S. Joodat, K. B. Nakshatrala:
A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model. CoRR abs/1805.01389 (2018) - [i36]W. Witarto, K. B. Nakshatrala, Y. L. Mo:
Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals. CoRR abs/1807.06454 (2018) - [i35]M. S. Joshaghani, Justin Chang, K. B. Nakshatrala, Matthew G. Knepley:
Composable block solvers for the four-field double porosity/permeability model. CoRR abs/1808.08328 (2018) - [i34]Ali Rezaei, Kalyana B. Nakshatrala, Fahd Siddiqui, Birol Dindoruk, Mohammed Soliman:
A global sensitivity analysis and reduced order models for hydraulically-fractured horizontal wells. CoRR abs/1812.03424 (2018) - 2017
- [i33]Justin Chang, K. B. Nakshatrala, Matthew G. Knepley, S. Lennart Johnsson:
A performance spectrum for parallel computational frameworks that solve PDEs. CoRR abs/1705.03625 (2017) - [i32]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 abs/1705.08883 (2017) - [i31]N. K. Mapakshi, Justin Chang, K. B. Nakshatrala:
A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity. CoRR abs/1710.02620 (2017) - 2016
- [i30]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 abs/1601.02708 (2016) - [i29]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 abs/1605.07658 (2016) - [i28]Justin Chang, K. B. Nakshatrala:
Variational inequality approach to enforce the non-negative constraint for advection-diffusion equations. CoRR abs/1611.08758 (2016) - 2015
- [i27]M. Shabouei, K. B. Nakshatrala:
On mechanics-based a posteriori criteria to assess accuracy of numerical solutions for Darcy and Darcy-Brinkman equations. CoRR abs/1501.02581 (2015) - [i26]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 abs/1502.06164 (2015) - [i25]S. Karimi, K. B. Nakshatrala:
Do current lattice Boltzmann methods for diffusion-type equations respect maximum principles and the non-negative constraint? CoRR abs/1503.08360 (2015) - [i24]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 abs/1506.06099 (2015) - [i23]Justin Chang, Satish Karra, K. B. Nakshatrala:
Large-scale Optimization-based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies. CoRR abs/1506.08435 (2015) - [i22]C. Xu, Maruti Kumar Mudunuru, K. B. Nakshatrala:
Material degradation due to moisture and temperature. Part 1: Mathematical model, analysis, and analytical solutions. CoRR abs/1511.05538 (2015) - 2014
- [i21]S. Karimi, K. B. Nakshatrala:
A monolithic multi-time-step computational framework for advective-diffusive-reactive transient systems with disparate scales. CoRR abs/1405.3230 (2014) - 2013
- [i20]Daniel Z. Turner, K. B. Nakshatrala, M. J. Martinez:
A framework for coupling flow and deformation of the porous solid. CoRR abs/1302.5848 (2013) - [i19]S. Karimi, K. B. Nakshatrala:
On multi-time-step monolithic coupling algorithms for elastodynamics. CoRR abs/1305.6355 (2013) - [i18]Justin Chang, K. B. Nakshatrala:
Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations. CoRR abs/1306.5216 (2013) - 2012
- [i17]K. B. Nakshatrala, Harsha Nagarajan:
A numerical methodology for enforcing maximum principles and the non-negative constraint for transient diffusion equations. CoRR abs/1206.0701 (2012) - [i16]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 abs/1210.5290 (2012) - 2011
- [i15]K. B. Nakshatrala, Daniel Z. Turner:
A mixed formulation for a modification to Darcy equation based on Picard linearization and numerical solutions to large-scale realistic problems. CoRR abs/1105.0706 (2011) - [i14]Maruti Kumar Mudunuru, K. B. Nakshatrala:
A framework for coupled deformation-diffusion analysis with application to degradation/healing. CoRR abs/1106.2327 (2011) - [i13]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 abs/1108.0952 (2011) - 2010
- [i12]Harsha Nagarajan, K. B. Nakshatrala:
Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids. CoRR abs/1003.5257 (2010) - [i11]S. Srinivasan, K. B. Nakshatrala:
A stabilized mixed formulation for unsteady Brinkman equation based on the method of horizontal lines. CoRR abs/1008.3845 (2010) - [i10]Daniel 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 abs/1012.3440 (2010) - 2009
- [i9]K. B. Nakshatrala, Albert J. Valocchi:
Variational structure of the optimal artificial diffusion method for the advection-diffusion equation. CoRR abs/0905.4771 (2009) - [i8]K. B. Nakshatrala, K. R. Rajagopal:
A numerical study of fluids with pressure dependent viscosity flowing through a rigid porous media. CoRR abs/0907.5234 (2009) - [i7]Swaroop Darbha, K. B. Nakshatrala, K. R. Rajagopal:
On the vibrations of lumped parameter systems governed by differential-algebraic equations. CoRR abs/0911.0137 (2009) - 2008
- [i6]Daniel 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 abs/0806.3099 (2008) - [i5]Daniel Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad:
Consistent Newton-Raphson vs. fixed-point for variational multiscale formulations for incompressible Navier-Stokes. CoRR abs/0806.3514 (2008) - [i4]Daniel Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad:
A stabilized finite element formulation for advection-diffusion using the generalized finite element framework. CoRR abs/0806.3963 (2008) - [i3]K. B. Nakshatrala, Arun Prakash, K. D. Hjelmstad:
On dual Schur domain decomposition method for linear first-order transient problems. CoRR abs/0807.2108 (2008) - [i2]K. B. Nakshatrala, Albert J. Valocchi:
Non-negative mixed finite element formulations for a tensorial diffusion equation. CoRR abs/0810.0322 (2008) - [i1]Anil N. Hirani, K. B. Nakshatrala, Jehanzeb Hameed Chaudhry:
Numerical method for Darcy flow derived using Discrete Exterior Calculus. CoRR abs/0810.3434 (2008)
Coauthor Index
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