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K. B. Nakshatrala
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Nonlinear structural design using multiscale topology optimization. Part I: Static formulation
PB Nakshatrala, DA Tortorelli, KB Nakshatrala
Computer Methods in Applied Mechanics and Engineering 261, 167-176, 2013
1102013
A stabilized mixed finite element method for Darcy flow based on a multiscale decomposition of the solution
KB Nakshatrala, DZ Turner, KD Hjelmstad, A Masud
Computer Methods in Applied Mechanics and Engineering 195 (33-36), 4036-4049, 2006
832006
On finite element formulations for nearly incompressible linear elasticity
KB Nakshatrala, A Masud, KD Hjelmstad
Computational Mechanics 41, 547-561, 2008
652008
Numerical method for Darcy flow derived using discrete exterior calculus
AN Hirani, KB Nakshatrala, JH Chaudhry
International Journal for Computational Methods in Engineering Science and …, 2015
492015
Non-negative mixed finite element formulations for a tensorial diffusion equation
KB Nakshatrala, AJ Valocchi
Journal of Computational Physics 228 (18), 6726-6752, 2009
482009
A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint
KB Nakshatrala, MK Mudunuru, AJ Valocchi
Journal of Computational Physics 253, 278-307, 2013
372013
Enforcing the non‐negativity constraint and maximum principles for diffusion with decay on general computational grids
H Nagarajan, KB Nakshatrala
International Journal for Numerical Methods in Fluids 67 (7), 820-847, 2011
342011
On enforcing maximum principles and achieving element-wise species balance for advection–diffusion–reaction equations under the finite element method
MK Mudunuru, KB Nakshatrala
Journal of Computational Physics 305, 448-493, 2016
322016
Numerical method for Darcy flow derived using Discrete Exterior Calculus
AN Hirani, KB Nakshatrala, JH Chaudhry
arXiv preprint arXiv:0810.3434, 2008
312008
Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals
W Witarto, KB Nakshatrala, YL Mo
Mechanics of Materials 134, 38-53, 2019
292019
A FETI‐based domain decomposition technique for time‐dependent first‐order systems based on a DAE approach
KB Nakshatrala, KD Hjelmstad, DA Tortorelli
International journal for numerical methods in engineering 75 (12), 1385-1415, 2008
292008
Modeling flow in porous media with double porosity/permeability: A stabilized mixed formulation, error analysis, and numerical solutions
SHS Joodat, KB Nakshatrala, R Ballarini
Computer Methods in Applied Mechanics and Engineering 337, 632-676, 2018
272018
Variational inequality approach to enforcing the non-negative constraint for advection–diffusion equations
J Chang, KB Nakshatrala
Computer Methods in Applied Mechanics and Engineering 320, 287-334, 2017
272017
On multi-time-step monolithic coupling algorithms for elastodynamics
S Karimi, KB Nakshatrala
Journal of Computational Physics 273, 671-705, 2014
262014
A time‐staggered partitioned coupling algorithm for transient heat conduction
PB Nakshatrala, KB Nakshatrala, DA Tortorelli
International journal for numerical methods in engineering 78 (12), 1387-1406, 2009
262009
A framework for coupled deformation–diffusion analysis with application to degradation/healing
MK Mudunuru, KB Nakshatrala
International journal for numerical methods in engineering 89 (9), 1144-1170, 2012
252012
A stabilized formulation for the advection–diffusion equation using the generalized finite element method
DZ Turner, KB Nakshatrala, KD Hjelmstad
International Journal for Numerical Methods in Fluids 66 (1), 64-81, 2011
252011
Material degradation due to moisture and temperature. Part 1: Mathematical model, analysis, and analytical solutions
C Xu, MK Mudunuru, KB Nakshatrala
Continuum Mechanics and Thermodynamics 28, 1847-1885, 2016
242016
Modeling flow in porous media with double porosity/permeability: Mathematical model, properties, and analytical solutions
KB Nakshatrala, SHS Joodat, R Ballarini
Journal of Applied Mechanics 85 (8), 2018
232018
Modification to Darcy-Forchheimer model due to pressure-dependent viscosity: consequences and numerical solutions
J Chang, KB Nakshatrala, JN Reddy
Journal of Porous Media 20 (3), 2017
212017
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