K. B. Nakshatrala

Orcid: 0000-0002-1744-6338

Affiliations:
  • University of Houston, TX, USA
  • Texas A&M University, College Station, TX, USA (former)


According to our database1, K. B. Nakshatrala authored at least 52 papers between 2008 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Closed-loop geothermal systems: Modeling and predictions.
CoRR, 2024

Effect of temperature-dependent material properties on thermal regulation in microvascular composites.
CoRR, 2024

2023
Dynamic properties of double porosity/permeability model.
CoRR, 2023

Thermal regulation in thin vascular systems: A sensitivity analysis.
CoRR, 2023

CoolPINNs: A Physics-informed Neural Network Modeling of Active Cooling in Vascular Systems.
CoRR, 2023

2022
Modeling thermal regulation in thin vascular systems: A mathematical analysis.
CoRR, 2022

2021
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

Shapley values and machine learning to characterize metamaterials for seismic applications.
CoRR, 2021

Effect of viscous shearing stresses on optimal material designs for flow of fluids through porous media.
CoRR, 2021

A deep learning modeling framework to capture mixing patterns in reactive-transport systems.
CoRR, 2021

2020
A modeling framework for coupling plasticity with species diffusion.
CoRR, 2020

On optimal designs using topology optimization for flow through porous media applications.
CoRR, 2020

2019
Composable block solvers for the four-field double porosity/permeability model.
J. Comput. Phys., 2019

On boundedness and growth of unsteady solutions under the double porosity/permeability model.
CoRR, 2019

On numerical stabilization in modeling double-diffusive viscous fingering.
CoRR, 2019

On interface conditions for flows in coupled free-porous media.
CoRR, 2019

2018
A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity.
J. Comput. Phys., 2018

A global sensitivity analysis and reduced order models for hydraulically-fractured horizontal wells.
CoRR, 2018

Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals.
CoRR, 2018

A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model.
CoRR, 2018

A performance spectrum for parallel computational frameworks that solve PDEs.
Concurr. Comput. Pract. Exp., 2018

2017
Large-Scale Optimization-Based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies.
J. Sci. Comput., 2017

Modeling flow in porous media with double porosity/permeability: A stabilized mixed formulation, error analysis, and numerical solutions.
CoRR, 2017

2016
On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method.
J. Comput. Phys., 2016

Modeling flow in porous media with double porosity/permeability: Mathematical model, properties, and analytical solutions.
CoRR, 2016

A hybrid multi-time-step framework for pore-scale and continuum-scale modeling of solute transport in porous media.
CoRR, 2016

Variational inequality approach to enforce the non-negative constraint for advection-diffusion equations.
CoRR, 2016

2015
Material degradation due to moisture and temperature. Part 1: Mathematical model, analysis, and analytical solutions.
CoRR, 2015

On mechanics-based a posteriori criteria to assess accuracy of numerical solutions for Darcy and Darcy-Brinkman equations.
CoRR, 2015

On mesh restrictions to satisfy comparison principles, maximum principles, and the non-negative constraint: Recent developments and new results.
CoRR, 2015

Do current lattice Boltzmann methods for diffusion-type equations respect maximum principles and the non-negative constraint?
CoRR, 2015

2014
On multi-time-step monolithic coupling algorithms for elastodynamics.
J. Comput. Phys., 2014

A monolithic multi-time-step computational framework for advective-diffusive-reactive transient systems with disparate scales.
CoRR, 2014

2013
A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint.
J. Comput. Phys., 2013

A framework for coupling flow and deformation of the porous solid
CoRR, 2013

Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations.
CoRR, 2013

2012
A numerical methodology for enforcing maximum principles and the non-negative constraint for transient diffusion equations
CoRR, 2012

2011
On the performance of high-order finite elements with respect to maximum principles and the non-negative constraint for diffusion-type equations.
CoRR, 2011

A framework for coupled deformation-diffusion analysis with application to degradation/healing
CoRR, 2011

A mixed formulation for a modification to Darcy equation based on Picard linearization and numerical solutions to large-scale realistic problems.
CoRR, 2011

2010
On the vibrations of lumped parameter systems governed by differential-algebraic equations.
J. Frankl. Inst., 2010

On the performance of the variational multiscale formulation for subsurface flow and transport in heterogeneous porous media
CoRR, 2010

A stabilized mixed formulation for unsteady Brinkman equation based on the method of horizontal lines
CoRR, 2010

Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids
CoRR, 2010

2009
Non-negative mixed finite element formulations for a tensorial diffusion equation.
J. Comput. Phys., 2009

On dual Schur domain decomposition method for linear first-order transient problems.
J. Comput. Phys., 2009

A numerical study of fluids with pressure dependent viscosity flowing through a rigid porous media
CoRR, 2009

Variational structure of the optimal artificial diffusion method for the advection-diffusion equation
CoRR, 2009

2008
A stabilized finite element formulation for advection-diffusion using the generalized finite element framework
CoRR, 2008

Consistent Newton-Raphson vs. fixed-point for variational multiscale formulations for incompressible Navier-Stokes
CoRR, 2008

On the stability of bubble functions and a stabilized mixed finite element formulation for the Stokes problem
CoRR, 2008

Numerical method for Darcy flow derived using Discrete Exterior Calculus.
CoRR, 2008


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