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1

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

Joodat, S.H.S., Nakshatrala, K.B., Ballarini, R.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2018

Language:

english

File:

PDF, 2.56 MB

english, 2018

2

Modeling Flow in Porous Media With Double Porosity/Permeability: Mathematical Model, Properties, and Analytical Solutions

Nakshatrala, Kalyana B., Joodat, Seyedeh Hanie S., Ballarini, Roberto

Journal:

Journal of Applied Mechanics

Year:

2018

Language:

english

File:

PDF, 1.49 MB

english, 2018

3

A stabilized formulation for the advection–diffusion equation using the Generalized Finite Element Method

D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad

Journal:

International Journal for Numerical Methods in Fluids

Year:

2011

Language:

english

File:

PDF, 344 KB

english, 2011

4

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

Shriram Srinivasan, K. B. Nakshatrala

Journal:

International Journal for Numerical Methods in Fluids

Year:

2012

Language:

english

File:

PDF, 1.07 MB

english, 2012

5

A time-staggered partitioned coupling algorithm for transient heat conduction

P. B. Nakshatrala, K. B. Nakshatrala, D. A. Tortorelli

Journal:

International Journal for Numerical Methods in Engineering

Year:

2009

Language:

english

File:

PDF, 648 KB

english, 2009

6

On the vibrations of lumped parameter systems governed by differential-algebraic equations

S. Darbha, K.B. Nakshatrala, K.R. Rajagopal

Journal:

Journal of the Franklin Institute

Year:

2010

Language:

english

File:

PDF, 710 KB

english, 2010

7

On finite element formulations for nearly incompressible linear elasticity

K. B. Nakshatrala, A. Masud, K. D. Hjelmstad

Journal:

Computational Mechanics

Year:

2008

Language:

english

File:

PDF, 939 KB

english, 2008

8

On dual Schur domain decomposition method for linear first-order transient problems

K.B. Nakshatrala, A. Prakash, K.D. Hjelmstad

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 1.80 MB

english, 2009

9

A monolithic multi-time-step computational framework for first-order transient systems with disparate scales

Karimi, S., Nakshatrala, K.B.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 13.14 MB

english, 2015

10

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

D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad

Journal:

International Journal for Numerical Methods in Fluids

Year:

2009

Language:

english

File:

PDF, 1.41 MB

english, 2009

11

A variational multiscale Newton–Schur approach for the incompressible Navier–Stokes equations

D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad

Journal:

International Journal for Numerical Methods in Fluids

Year:

2010

Language:

english

File:

PDF, 2.98 MB

english, 2010

12

A numerical study of fluids with pressure-dependent viscosity flowing through a rigid porous medium

K. B. Nakshatrala, K. R. Rajagopal

Journal:

International Journal for Numerical Methods in Fluids

Year:

2011

Language:

english

File:

PDF, 557 KB

english, 2011

13

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

H. Nagarajan, K. B. Nakshatrala

Journal:

International Journal for Numerical Methods in Fluids

Year:

2011

Language:

english

File:

PDF, 794 KB

english, 2011

14

A FETI-based domain decomposition technique for time-dependent first-order systems based on a DAE approach

K. B. Nakshatrala, K. D. Hjelmstad, D. A. Tortorelli

Journal:

International Journal for Numerical Methods in Engineering

Year:

2008

Language:

english

File:

PDF, 766 KB

english, 2008

15

A framework for coupled deformation–diffusion analysis with application to degradation/healing

M.K. Mudunuru, K.B. Nakshatrala

Journal:

International Journal for Numerical Methods in Engineering

Year:

2012

Language:

english

File:

PDF, 2.84 MB

english, 2012

16

A stabilized mixed finite element method for Darcy flow based on a multiscale decomposition of the solution

K.B. Nakshatrala, D.Z. Turner, K.D. Hjelmstad, A. Masud

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2006

Language:

english

File:

PDF, 627 KB

english, 2006

17

Finite element approach to composite mold design based on Darcy flow with velocity clipping

D.Z. Turner, K.B. Nakshatrala, K.D. Hjelmstad

Journal:

Polymer Composites

Year:

2006

Language:

english

File:

PDF, 210 KB

english, 2006

18

Non-negative mixed finite element formulations for a tensorial diffusion equation

K.B. Nakshatrala, A.J. Valocchi

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 2.72 MB

english, 2009

19

On the performance of high-order finite elements with respect to maximum principles and the nonnegative constraint for diffusion-type equations

G.S. Payette, K.B. Nakshatrala, J.N. Reddy

Journal:

International Journal for Numerical Methods in Engineering

Year:

2012

Language:

english

File:

PDF, 8.74 MB

english, 2012

20

Modeling subsurface water resource systems involving heterogeneous porous media using the variational multiscale formulation

D.Z. Turner, K.B. Nakshatrala, M.J. Martinez, P.K. Notz

Journal:

Journal of Hydrology

Year:

2012

Language:

english

File:

PDF, 2.46 MB

english, 2012

21

A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint

Nakshatrala, K.B., Mudunuru, M.K., Valocchi, A.J.

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 3.35 MB

english, 2013

22

Nonlinear structural design using multiscale topology optimization. Part I: Static formulation

Nakshatrala, P.B., Tortorelli, D.A., Nakshatrala, K.B.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 2.10 MB

english, 2013

23

[American Institute of Aeronautics and Astronautics 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit - Tucson, Arizona ()] 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit - Simulations of Propellant Slumping in the Titan IV SRMU Using Constitutive Models with Damage Evolution

Namazifard, A, Hjelmstad, K., Sofronis, P., Nakshatrala, K., Tortorelli, D., Fiedler, R.

Year:

2005

Language:

english

File:

PDF, 2.95 MB

english, 2005

24

On the consistency of adjoint sensitivity analysis for structural optimization of linear dynamic problems

Jensen, Jakob S., Nakshatrala, Praveen B., Tortorelli, Daniel A.

Journal:

Structural and Multidisciplinary Optimization

Year:

2014

Language:

english

File:

PDF, 421 KB

english, 2014

25

On multi-time-step monolithic coupling algorithms for elastodynamics

Karimi, S., Nakshatrala, K.B.

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 1.50 MB

english, 2014

26

Framework for Coupling Flow and Deformation of a Porous Solid

Turner, D. Z., Nakshatrala, K. B., Martinez, M. J.

Journal:

International Journal of Geomechanics

Year:

2014

Language:

english

File:

PDF, 2.03 MB

english, 2014

27

VARIATIONAL STRUCTURE OF THE OPTIMAL ARTIFICIAL DIFFUSION METHOD FOR THE ADVECTION–DIFFUSION EQUATION

NAKSHATRALA, K. B., VALOCCHI, A. J.

Journal:

International Journal of Computational Methods

Year:

2010

Language:

english

File:

PDF, 197 KB

english, 2010

28

A Mixed Formulation for a Modification to Darcy Equation Based on Picard Linearization and Numerical Solutions to Large-Scale Realistic Problems

Nakshatrala, K. B., Turner, D. Z.

Journal:

International Journal for Computational Methods in Engineering Science and Mechanics

Year:

2013

Language:

english

File:

PDF, 2.02 MB

english, 2013

29

Topology optimization for effective energy propagation in rate-independent elastoplastic material systems

Nakshatrala, P.B., Tortorelli, D.A.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 569 KB

english, 2015

30

On Stabilized Formulations for Incompressible Navier-Stokes Equations Based on Multi-Scale Decomposition Formalism

Turner, D. Z., Nakshatrala, K. B., Hjelmstad, K. D.

Journal:

Mechanics of Advanced Materials and Structures

Year:

2012

Language:

english

File:

PDF, 1.28 MB

english, 2012

31

On enforcing maximum principles and achieving element-wise species balance for advection–diffusion–reaction equations under the finite element method

Mudunuru, M.K., Nakshatrala, K.B.

Journal:

Journal of Computational Physics

Year:

2016

Language:

english

File:

PDF, 4.52 MB

english, 2016

32

Numerical Method for Darcy Flow Derived Using Discrete Exterior Calculus

Hirani, A. N., Nakshatrala, K. B., Chaudhry, J. H.

Journal:

International Journal for Computational Methods in Engineering Science and Mechanics

Year:

2015

Language:

english

File:

PDF, 1.79 MB

english, 2015

33

Nonlinear structural design using multiscale topology optimization. Part II: Transient formulation

Nakshatrala, P.B., Tortorelli, D.A.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2016

Language:

english

File:

PDF, 1.43 MB

english, 2016

34

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

Mudunuru, Maruti, Nakshatrala, Kalyana Babu

Journal:

Mechanics of Advanced Materials and Structures

Year:

2016

Language:

english

File:

PDF, 5.38 MB

english, 2016

35

WITHDRAWN: A stabilized mixed formulation for modified Darcy equation

Nakshatrala, K.B., Turner, D.Z.

Journal:

International Journal of Engineering Science

Year:

2010

File:

PDF, 21 KB

2010

36

A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

Nakshatrala, K. B., Nagarajan, H., Shabouei, M.

Journal:

Communications in Computational Physics

Year:

2016

Language:

english

File:

PDF, 3.69 MB

english, 2016

37

SPIE Proceedings [SPIE Electronic Imaging 2002 - San Jose, CA (Saturday 19 January 2002)] Visualization and Data Analysis 2002 - Interactive distributed hardware-accelerated LOD-sprite terrain rendering with stable frame rates

Swan II, J. E., Arango, Jesus, Nakshatrala, Bala K., Erbacher, Robert F., Chen, Philip C., Groehn, Matti, Roberts, Jonathan C., Wittenbrink, Craig M.

Year:

2002

Language:

english

File:

PDF, 516 KB

english, 2002

38

Large-Scale Optimization-Based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies

Chang, J., Karra, S., Nakshatrala, K. B.

Journal:

Journal of Scientific Computing

Year:

2017

Language:

english

File:

PDF, 2.97 MB

english, 2017

39

Variational inequality approach to enforcing the non-negative constraint for advection–diffusion equations

Chang, J., Nakshatrala, K.B.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2017

Language:

english

File:

PDF, 3.45 MB

english, 2017

40

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

Xu, C., Mudunuru, M. K., Nakshatrala, K. B.

Journal:

Continuum Mechanics and Thermodynamics

Year:

2016

Language:

english

File:

PDF, 1.37 MB

english, 2016

41

Mechanics-Based Solution Verification for Porous Media Models

Shabouei, M., Nakshatrala, K. B.

Journal:

Communications in Computational Physics

Year:

2016

Language:

english

File:

PDF, 1.75 MB

english, 2016

42

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

Karimi, S., Nakshatrala, K.B.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2017

Language:

english

File:

PDF, 3.55 MB

english, 2017

43

Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

Karimi, S., Nakshatrala, K. B.

Journal:

Communications in Computational Physics

Year:

2016

Language:

english

File:

PDF, 1.56 MB

english, 2016

44

A performance spectrum for parallel computational frameworks that solve PDEs

Chang, J., Nakshatrala, K.B., Knepley, M.G., Johnsson, L.

Journal:

Concurrency and Computation: Practice and Experience

Year:

2017

Language:

english

File:

PDF, 3.19 MB

english, 2017

45

MODIFICATION TO DARCY-FORCHHEIMER MODEL DUE TO PRESSURE-DEPENDENT VISCOSITY: CONSEQUENCES AND NUMERICAL SOLUTIONS

Chang, J., Nakshatrala, K. B., Reddy, J. N.

Journal:

Journal of Porous Media

Year:

2017

Language:

english

File:

PDF, 1.40 MB

english, 2017

46

A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity

Mapakshi, N.K., Chang, J., Nakshatrala, K.B.

Journal:

Journal of Computational Physics

Year:

2018

Language:

english

File:

PDF, 3.00 MB

english, 2018

47

Composable block solvers for the four-field double porosity/permeability model

Joshaghani, M.S., Chang, J., Nakshatrala, K.B., Knepley, M.G.

Journal:

Journal of Computational Physics

Year:

2019

Language:

english

File:

PDF, 4.00 MB

english, 2019

48

Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals

Witarto, W., Nakshatrala, Kalyana B., Mo, Yi-Lung

Journal:

Mechanics of Materials

Year:

2019

Language:

english

File:

PDF, 7.31 MB

english, 2019

49

A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model

Joshaghani, M.S., Joodat, S.H.S., Nakshatrala, K.B.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2019

Language:

english

File:

PDF, 3.33 MB

english, 2019

50

Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals

Witarto, W., Nakshatrala, Kalyana B., Mo, Yi-Lung

Journal:

Mechanics of Materials

Year:

2019

File:

PDF, 7.31 MB

2019