| 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 | 110 | 2013 |
| 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 | 83 | 2006 |
| On finite element formulations for nearly incompressible linear elasticity KB Nakshatrala, A Masud, KD Hjelmstad Computational Mechanics 41, 547-561, 2008 | 65 | 2008 |
| 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 | 49 | 2015 |
| Non-negative mixed finite element formulations for a tensorial diffusion equation KB Nakshatrala, AJ Valocchi Journal of Computational Physics 228 (18), 6726-6752, 2009 | 48 | 2009 |
| 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 | 37 | 2013 |
| 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 | 34 | 2011 |
| 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 | 32 | 2016 |
| Numerical method for Darcy flow derived using Discrete Exterior Calculus AN Hirani, KB Nakshatrala, JH Chaudhry arXiv preprint arXiv:0810.3434, 2008 | 31 | 2008 |
| 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 | 29 | 2019 |
| 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 | 29 | 2008 |
| 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 | 27 | 2018 |
| 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 | 27 | 2017 |
| On multi-time-step monolithic coupling algorithms for elastodynamics S Karimi, KB Nakshatrala Journal of Computational Physics 273, 671-705, 2014 | 26 | 2014 |
| 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 | 26 | 2009 |
| 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 | 25 | 2012 |
| 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 | 25 | 2011 |
| 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 | 24 | 2016 |
| 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 | 23 | 2018 |
| A performance spectrum for parallel computational frameworks that solve PDEs J Chang, KB Nakshatrala, MG Knepley, L Johnsson Concurrency and Computation: Practice and Experience 30 (11), e4401, 2018 | 21 | 2018 |
Daniel Z. TurnerSandia National LaboratoriesVerified email at sandia.gov
