Edit Profile (opens in new tab) Shadid, John N. Compute Distance To: Compute Author ID: shadid.john-n Published as: Shadid, John N.; Shadid, J. N.; Shadid, John; Shadid, J. more...less Documents Indexed: 77 Publications since 1992 1 Contribution as Editor Co-Authors: 101 Co-Authors with 77 Joint Publications 2,361 Co-Co-Authors all top 5 Co-Authors 1 single-authored 18 Pawlowski, Roger P. 15 Cyr, Eric C. 12 Tuminaro, Ray S. 9 Lin, Paul T. 9 Tuminaro, Raymond S. 7 Elman, Howard C. 6 Kuzmin, Dmitri 5 Hennigan, Gary L. 5 Mabuza, Sibusiso 5 Sala, Marzio 5 Walker, Homer F. 4 Chacón, Luis 4 Conde, Sidafa 4 Gunzburger, Max D. 4 Howle, Victoria E. 4 Phillips, Edward G. 4 Ropp, David L. 4 Salinger, Andrew G. 3 Banks, Jeffrey W. 3 Bochev, Pavel B. 3 Bui-Thanh, Tan 3 Chaudhry, Jehanzeb Hameed 3 Devine, Karen D. 3 Hutchinson, Scott A. 3 Smith, Thomas M. 2 Estep, Donald J. 2 Fish, Jacob 2 Ginting, Victor 2 Hu, Jonathan J. 2 Kolev, Tzanio V. 2 Lehoucq, Richard B. 2 Muralikrishnan, Sriramkrishnan 2 Ober, Curtis C. 2 Scovazzi, Guglielmo 2 Shannon, Stephen J. 2 Shuttleworth, Robert R. 2 Silvester, David J. 2 Simonis, Joseph P. 2 Tavener, Simon J. 2 Waisman, Haim 2 Wildey, Timothy M. 1 Badia, Santiago 1 Barth, Teri L. 1 Bartlett, Roscoe A. 1 Basting, Steffen 1 Belme, A. C. 1 Benzi, Michele 1 Biegler, Lorenz T. 1 Bonilla, Jesús 1 Cai, Xiao-Chuan 1 Carey, Graham Francis 1 Christon, Mark A. 1 Cline, Douglas D. 1 Collins, Joseph B. 1 Constantine, Paul G. 1 Crockatt, Michael M. 1 Day, David M. 1 Duff, Iain S. 1 Eckert, Ernst R. G. 1 Fekete, Imre 1 Glaws, Andrew 1 Gorodetsky, Alex A. 1 Gottlieb, Sigal 1 Grant, Zachary J. 1 Hajduk, Hennes 1 Henshaw, William D. 1 Hoekstra, Robert J. 1 Hughes, Thomas J. R. 1 Itle, G. C. 1 Jordan, Kirk E. 1 Kelley, Tim 1 Kilmer, Misha Elena 1 Knoll, Dana A. 1 Kramer, Richard M. J. 1 Lee, Jeonghun J. 1 Leyffer, Sven 1 Livshits, Irene 1 Lohmann, Christoph 1 Manteuffel, Thomas A. 1 McCormick, Steve Fahrney 1 Miller, Sean T. 1 Moffat, Harry K. 1 Möller, Matthias 1 Mountziaris, T. J. 1 Ng, Kwong T. 1 Oberai, Assad A. 1 Ohm, Peter 1 Olson, Luke N. 1 Peterson, Janet S. 1 Rider, William J. 1 Shashkov, Mikhail J. 1 Stagg, Alan K. 1 Tang, Xian-Zhu 1 Tomas, Ignacio 1 Tomov, Vladimir Z. 1 van Bloemen Waanders, Bart G. 1 Weber, P. D. 1 Wiesner, Tobias A. 1 Wildey, Tim M. 1 Woodward, Carol S. ...and 1 more Co-Authors all top 5 Serials 25 Journal of Computational Physics 12 Computer Methods in Applied Mechanics and Engineering 11 SIAM Journal on Scientific Computing 4 International Journal for Numerical Methods in Engineering 3 International Journal for Numerical Methods in Fluids 3 SIAM Journal on Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 1 AIAA Journal 1 Computers and Fluids 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Parallel Computing 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Concurrency: Practice and Experience 1 SIAM Review 1 Communications in Numerical Methods in Engineering 1 ETNA. Electronic Transactions on Numerical Analysis 1 International Journal of Computational Fluid Dynamics 1 Statistical Analysis and Data Mining 1 International Journal for Uncertainty Quantification all top 5 Fields 53 Numerical analysis (65-XX) 48 Fluid mechanics (76-XX) 17 Partial differential equations (35-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Computer science (68-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 1,086 times in 699 Documents Cited by ▼ Year ▼ Block preconditioners based on approximate commutators. Zbl 1100.65042Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 67 2006 Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data. Zbl 1121.65354Gunzburger, Max D.; Peterson, Janet S.; Shadid, John N. 61 2007 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 60 2008 Stabilized shock hydrodynamics. I: A Lagrangian method. Zbl 1120.76334Scovazzi, G.; Christon, M. A.; Hughes, T. J. R.; Shadid, J. N. 51 2007 A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John 49 2004 Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S. 39 2010 A new approximate block factorization preconditioner for two-dimensional incompressible (reduced) resistive MHD. Zbl 1273.76269Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S.; Pawlowski, Roger P.; Chacón, Luis 37 2013 Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 30 2004 A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics. Zbl 1225.76204Scovazzi, G.; Shadid, J. N.; Love, E.; Rider, W. J. 27 2010 An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F. 26 1997 Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. Zbl 1380.65279Lohmann, Christoph; Kuzmin, Dmitri; Shadid, John N.; Mabuza, Sibusiso 26 2017 Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems. Zbl 1168.65380Ropp, David L.; Shadid, John N. 24 2008 Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T. 24 2005 Studies of the accuracy of time integration methods for reaction-diffusion equations. Zbl 1039.65069Ropp, David L.; Shadid, John N.; Ober, Curtis C. 23 2004 Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 23 2006 On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 22 2004 Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD. Zbl 1349.76903Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P. 22 2016 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 21 2007 A block preconditioner for an exact penalty formulation for stationary MHD. Zbl 1308.76333Phillips, Edward G.; Elman, Howard C.; Cyr, Eric C.; Shadid, John N.; Pawlowski, Roger P. 20 2014 Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail 20 2010 Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D. 20 2016 On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations. Zbl 1143.76489Tuminaro, Raymond S.; Walker, Homer F.; Shadid, John N. 20 2002 An a posteriori-a priori analysis of multiscale operator splitting. Zbl 1166.65367Estep, D.; Ginting, V.; Ropp, D.; Shadid, J. N.; Tavener, S. 19 2008 Studies on the accuracy of time-integration methods for the radiation-diffusion equations. Zbl 1053.65082Ober, Curtis C.; Shadid, John N. 19 2004 On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M. 18 2002 Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling. Zbl 1175.82077Lin, Paul T.; Shadid, John N.; Sala, Marzio; Tuminaro, Raymond S.; Hennigan, Gary L.; Hoekstra, Robert J. 18 2009 Globalization tecniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations. Zbl 1110.65039Pawlowski, Roger P; Shadid, John N.; Simonis, Joseph P.; Walker, Homer F. 17 2006 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 17 2003 Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order. Zbl 1381.65052Conde, Sidafa; Gottlieb, Sigal; Grant, Zachary J.; Shadid, John N. 17 2017 Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B. 16 2006 Stability of operator splitting methods for systems with indefinite operators: Reaction-diffusion systems. Zbl 1073.65088Ropp, David L.; Shadid, John N. 13 2005 Stabilization and scalable block preconditioning for the Navier-Stokes equations. Zbl 1426.76241Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S. 13 2012 Efficient parallel computation of unstructured finite element reacting flow solutions. Zbl 0894.68019Shadid, John; Hutchinson, Scott; Hennigan, Gary; Moffat, Harry; Devine, Karen 12 1997 A parallel fully coupled algebraic multilevel preconditioner applied to multiphysics PDE applications: drift-diffusion, flow/transport/reaction, resistive MHD. Zbl 1427.65036Lin, Paul T.; Shadid, John N.; Tuminaro, Raymond S.; Sala, Marzio; Hennigan, Gary L.; Pawlowski, Roger P. 11 2010 Bifurcation and stability analysis of laminar isothermal counterflowing jets. Zbl 1086.76019Pawlowski, R. P.; Salinger, A. G.; Shadid, J. N.; Mountziaris, T. J. 11 2006 An evaluation of the FCT method for high-speed flows on structured overlapping grids. Zbl 1280.76031Banks, J. W.; Henshaw, W. D.; Shadid, J. N. 10 2009 A fully-coupled Newton-Krylov solution method for parallel unstructured finite element fluid flow, heat and mass transfer simulations. Zbl 0969.76049Shadid, J. N. 10 1999 Computational bifurcation and stability studies of the 8:1 thermal cavity problem. Zbl 1047.76053Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N. 10 2002 Inexact Newton dogleg methods. Zbl 1183.65055Pawlowski, Roger P.; Simonis, Joseph P.; Walker, Homer F.; Shadid, John N. 9 2008 A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047Shadid, John N.; Tuminaro, Ray S. 9 1994 A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations. Zbl 1425.65086Chaudhry, Jehanzeb H.; Estep, Donald; Ginting, Victor; Shadid, John N.; Tavener, Simon 9 2015 The generalized global basis (GGB) method. Zbl 1075.74685Waisman, H.; Fish, J.; Tuminaro, R. S.; Shadid, J. 8 2004 Teko: a block preconditioning capability with concrete example applications in Navier-Stokes and MHD. Zbl 06645426Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S. 8 2016 A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics. Zbl 1349.76140Sondak, D.; Shadid, J. N.; Oberai, A. A.; Pawlowski, R. P.; Cyr, E. C.; Smith, T. M. 8 2015 Linearity-preserving monotone local projection stabilization schemes for continuous finite elements. Zbl 1439.65114Kuzmin, Dmitri; Basting, Steffen; Shadid, John N. 7 2017 Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. Zbl 1422.76128Mabuza, Sibusiso; Shadid, John N.; Kuzmin, Dmitri 7 2018 A posteriori error estimation for multi-stage Runge-Kutta IMEX schemes. Zbl 1365.65183Chaudhry, Jehanzeb H.; Collins, J. B.; Shadid, John N. 6 2017 Scalable preconditioners for structure preserving discretizations of Maxwell equations in first order form. Zbl 1387.65027Phillips, Edward G.; Shadid, John N.; Cyr, Eric C. 6 2018 An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 6 2005 A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri 6 2020 Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio 5 2010 Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD. Zbl 1443.76152Lin, P. T.; Shadid, J. N.; Hu, J. J.; Pawlowski, R. P.; Cyr, E. C. 5 2018 Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting. Zbl 07196645Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Tomov, Vladimir; Tomas, Ignacio; Shadid, John N. 5 2020 Towards large-scale multi-socket, multicore parallel simulations: Performance of an MPI-only semiconductor device simulator. Zbl 1198.82067Lin, Paul T.; Shadid, John N. 4 2010 IMEX and exact sequence discretization of the multi-fluid plasma model. Zbl 1453.76081Miller, S. T.; Cyr, E. C.; Shadid, J. N.; Kramer, R. M. J.; Phillips, E. G.; Conde, S.; Pawlowski, R. P. 4 2019 A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation. Zbl 1404.65163Chaudhry, Jehanzeb H.; Shadid, John N.; Wildey, Timothy 4 2019 Analysis of an HDG method for linearized incompressible resistive MHD equations. Zbl 1422.76127Lee, Jeonghun J.; Shannon, Stephen J.; Bui-Thanh, Tan; Shadid, John N. 3 2019 Towards efficient backward-in-time adjoint computations using data compression techniques. Zbl 1423.76222Cyr, E. C.; Shadid, J. N.; Wildey, T. 3 2015 Parallel, scalable parabolized Navier-Stokes solver for large-scale simulations. Zbl 0824.76071Stagg, A. K.; Cline, D. D.; Carey, G. F.; Shadid, J. N. 3 1995 Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045Tuminaro, Ray S.; Shadid, John N.; Hutchinson, Scott A. 3 1998 An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD. Zbl 07518056Tang, Qi; Chacón, Luis; Kolev, Tzanio V.; Shadid, John N.; Tang, Xian-Zhu 3 2022 Viscous heating of a cylinder with finite length by a high viscosity fluid in steady longitudinal flow. II: Non-Newtonian Carreau model fluids. Zbl 0825.76040Shadid, J. N.; Eckert, E. R. G. 2 1992 Acceleration of the generalized global basis (GGB) method for nonlinear problems. Zbl 1077.65121Waisman, Haim; Fish, Jacob; Tuminaro, Raymond S.; Shadid, John N. 2 2005 Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities. Zbl 1349.76266Shadid, J. N.; Smith, T. M.; Cyr, E. C.; Wildey, T. M.; Pawlowski, R. P. 2 2016 On differentiable local bounds preserving stabilization for Euler equations. Zbl 07337124Badia, Santiago; Bonilla, Jesús; Mabuza, Sibusiso; Shadid, John N. 2 2020 Approaches for adjoint-based a posteriori analysis of stabilized finite element methods. Zbl 1302.65250Cyr, Eric C.; Shadid, John; Wildey, Tim 1 2014 An Euler system source term that develops prototype Z-pinch implosions intended for the evaluation of shock-hydro methods. Zbl 1421.76147Banks, J. W.; Shadid, J. N. 1 2009 A multilevel approach for trace system in HDG discretizations. Zbl 07504711Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan; Shadid, John N. 1 2020 Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods. Zbl 1495.65115Fekete, Imre; Conde, Sidafa; Shadid, John N. 1 2022 An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD. Zbl 07518056Tang, Qi; Chacón, Luis; Kolev, Tzanio V.; Shadid, John N.; Tang, Xian-Zhu 3 2022 Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods. Zbl 1495.65115Fekete, Imre; Conde, Sidafa; Shadid, John N. 1 2022 A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri 6 2020 Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting. Zbl 07196645Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Tomov, Vladimir; Tomas, Ignacio; Shadid, John N. 5 2020 On differentiable local bounds preserving stabilization for Euler equations. Zbl 07337124Badia, Santiago; Bonilla, Jesús; Mabuza, Sibusiso; Shadid, John N. 2 2020 A multilevel approach for trace system in HDG discretizations. Zbl 07504711Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan; Shadid, John N. 1 2020 IMEX and exact sequence discretization of the multi-fluid plasma model. Zbl 1453.76081Miller, S. T.; Cyr, E. C.; Shadid, J. N.; Kramer, R. M. J.; Phillips, E. G.; Conde, S.; Pawlowski, R. P. 4 2019 A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation. Zbl 1404.65163Chaudhry, Jehanzeb H.; Shadid, John N.; Wildey, Timothy 4 2019 Analysis of an HDG method for linearized incompressible resistive MHD equations. Zbl 1422.76127Lee, Jeonghun J.; Shannon, Stephen J.; Bui-Thanh, Tan; Shadid, John N. 3 2019 Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. Zbl 1422.76128Mabuza, Sibusiso; Shadid, John N.; Kuzmin, Dmitri 7 2018 Scalable preconditioners for structure preserving discretizations of Maxwell equations in first order form. Zbl 1387.65027Phillips, Edward G.; Shadid, John N.; Cyr, Eric C. 6 2018 Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD. Zbl 1443.76152Lin, P. T.; Shadid, J. N.; Hu, J. J.; Pawlowski, R. P.; Cyr, E. C. 5 2018 Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. Zbl 1380.65279Lohmann, Christoph; Kuzmin, Dmitri; Shadid, John N.; Mabuza, Sibusiso 26 2017 Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order. Zbl 1381.65052Conde, Sidafa; Gottlieb, Sigal; Grant, Zachary J.; Shadid, John N. 17 2017 Linearity-preserving monotone local projection stabilization schemes for continuous finite elements. Zbl 1439.65114Kuzmin, Dmitri; Basting, Steffen; Shadid, John N. 7 2017 A posteriori error estimation for multi-stage Runge-Kutta IMEX schemes. Zbl 1365.65183Chaudhry, Jehanzeb H.; Collins, J. B.; Shadid, John N. 6 2017 Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD. Zbl 1349.76903Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P. 22 2016 Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D. 20 2016 Teko: a block preconditioning capability with concrete example applications in Navier-Stokes and MHD. Zbl 06645426Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S. 8 2016 Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities. Zbl 1349.76266Shadid, J. N.; Smith, T. M.; Cyr, E. C.; Wildey, T. M.; Pawlowski, R. P. 2 2016 A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations. Zbl 1425.65086Chaudhry, Jehanzeb H.; Estep, Donald; Ginting, Victor; Shadid, John N.; Tavener, Simon 9 2015 A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics. Zbl 1349.76140Sondak, D.; Shadid, J. N.; Oberai, A. A.; Pawlowski, R. P.; Cyr, E. C.; Smith, T. M. 8 2015 Towards efficient backward-in-time adjoint computations using data compression techniques. Zbl 1423.76222Cyr, E. C.; Shadid, J. N.; Wildey, T. 3 2015 A block preconditioner for an exact penalty formulation for stationary MHD. Zbl 1308.76333Phillips, Edward G.; Elman, Howard C.; Cyr, Eric C.; Shadid, John N.; Pawlowski, Roger P. 20 2014 Approaches for adjoint-based a posteriori analysis of stabilized finite element methods. Zbl 1302.65250Cyr, Eric C.; Shadid, John; Wildey, Tim 1 2014 A new approximate block factorization preconditioner for two-dimensional incompressible (reduced) resistive MHD. Zbl 1273.76269Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S.; Pawlowski, Roger P.; Chacón, Luis 37 2013 Stabilization and scalable block preconditioning for the Navier-Stokes equations. Zbl 1426.76241Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S. 13 2012 Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S. 39 2010 A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics. Zbl 1225.76204Scovazzi, G.; Shadid, J. N.; Love, E.; Rider, W. J. 27 2010 Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail 20 2010 A parallel fully coupled algebraic multilevel preconditioner applied to multiphysics PDE applications: drift-diffusion, flow/transport/reaction, resistive MHD. Zbl 1427.65036Lin, Paul T.; Shadid, John N.; Tuminaro, Raymond S.; Sala, Marzio; Hennigan, Gary L.; Pawlowski, Roger P. 11 2010 Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio 5 2010 Towards large-scale multi-socket, multicore parallel simulations: Performance of an MPI-only semiconductor device simulator. Zbl 1198.82067Lin, Paul T.; Shadid, John N. 4 2010 Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling. Zbl 1175.82077Lin, Paul T.; Shadid, John N.; Sala, Marzio; Tuminaro, Raymond S.; Hennigan, Gary L.; Hoekstra, Robert J. 18 2009 An evaluation of the FCT method for high-speed flows on structured overlapping grids. Zbl 1280.76031Banks, J. W.; Henshaw, W. D.; Shadid, J. N. 10 2009 An Euler system source term that develops prototype Z-pinch implosions intended for the evaluation of shock-hydro methods. Zbl 1421.76147Banks, J. W.; Shadid, J. N. 1 2009 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 60 2008 Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems. Zbl 1168.65380Ropp, David L.; Shadid, John N. 24 2008 An a posteriori-a priori analysis of multiscale operator splitting. Zbl 1166.65367Estep, D.; Ginting, V.; Ropp, D.; Shadid, J. N.; Tavener, S. 19 2008 Inexact Newton dogleg methods. Zbl 1183.65055Pawlowski, Roger P.; Simonis, Joseph P.; Walker, Homer F.; Shadid, John N. 9 2008 Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data. Zbl 1121.65354Gunzburger, Max D.; Peterson, Janet S.; Shadid, John N. 61 2007 Stabilized shock hydrodynamics. I: A Lagrangian method. Zbl 1120.76334Scovazzi, G.; Christon, M. A.; Hughes, T. J. R.; Shadid, J. N. 51 2007 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 21 2007 Block preconditioners based on approximate commutators. Zbl 1100.65042Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 67 2006 Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 23 2006 Globalization tecniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations. Zbl 1110.65039Pawlowski, Roger P; Shadid, John N.; Simonis, Joseph P.; Walker, Homer F. 17 2006 Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B. 16 2006 Bifurcation and stability analysis of laminar isothermal counterflowing jets. Zbl 1086.76019Pawlowski, R. P.; Salinger, A. G.; Shadid, J. N.; Mountziaris, T. J. 11 2006 Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T. 24 2005 Stability of operator splitting methods for systems with indefinite operators: Reaction-diffusion systems. Zbl 1073.65088Ropp, David L.; Shadid, John N. 13 2005 An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 6 2005 Acceleration of the generalized global basis (GGB) method for nonlinear problems. Zbl 1077.65121Waisman, Haim; Fish, Jacob; Tuminaro, Raymond S.; Shadid, John N. 2 2005 A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John 49 2004 Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 30 2004 Studies of the accuracy of time integration methods for reaction-diffusion equations. Zbl 1039.65069Ropp, David L.; Shadid, John N.; Ober, Curtis C. 23 2004 On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 22 2004 Studies on the accuracy of time-integration methods for the radiation-diffusion equations. Zbl 1053.65082Ober, Curtis C.; Shadid, John N. 19 2004 The generalized global basis (GGB) method. Zbl 1075.74685Waisman, H.; Fish, J.; Tuminaro, R. S.; Shadid, J. 8 2004 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 17 2003 On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations. Zbl 1143.76489Tuminaro, Raymond S.; Walker, Homer F.; Shadid, John N. 20 2002 On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M. 18 2002 Computational bifurcation and stability studies of the 8:1 thermal cavity problem. Zbl 1047.76053Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N. 10 2002 A fully-coupled Newton-Krylov solution method for parallel unstructured finite element fluid flow, heat and mass transfer simulations. Zbl 0969.76049Shadid, J. N. 10 1999 Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045Tuminaro, Ray S.; Shadid, John N.; Hutchinson, Scott A. 3 1998 An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F. 26 1997 Efficient parallel computation of unstructured finite element reacting flow solutions. Zbl 0894.68019Shadid, John; Hutchinson, Scott; Hennigan, Gary; Moffat, Harry; Devine, Karen 12 1997 Parallel, scalable parabolized Navier-Stokes solver for large-scale simulations. Zbl 0824.76071Stagg, A. K.; Cline, D. D.; Carey, G. F.; Shadid, J. N. 3 1995 A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047Shadid, John N.; Tuminaro, Ray S. 9 1994 Viscous heating of a cylinder with finite length by a high viscosity fluid in steady longitudinal flow. II: Non-Newtonian Carreau model fluids. Zbl 0825.76040Shadid, J. N.; Eckert, E. R. G. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 1,242 Authors 47 Shadid, John N. 22 Kuzmin, Dmitri 19 Scovazzi, Guglielmo 15 Cyr, Eric C. 14 Pawlowski, Roger P. 13 Badia, Santiago 12 Rozza, Gianluigi 12 Tavener, Simon J. 11 Chaudhry, Jehanzeb Hameed 11 Estep, Donald J. 11 Shang, Yueqiang 10 Quarteroni, Alfio M. 9 Cai, Xiao-Chuan 9 Lin, Paul T. 9 Wall, Wolfgang A. 8 Banks, Jeffrey W. 8 Gravemeier, Volker 8 Hughes, Thomas J. R. 8 John, Volker 8 Néron, David 8 Tuminaro, Raymond S. 7 Abgrall, Rémi 7 Ahmed, Naveed 7 Bazilevs, Yuri 7 Zhang, Guodong 6 Adler, James H. 6 Bonet, Javier 6 De Luna, Manuel Quezada 6 Gil, Antonio J. 6 He, Yinnian 6 Hu, Xiaozhe 6 Keyes, David Elliot 6 Kolev, Tzanio V. 6 Maire, Pierre-Henri 6 Manzoni, Andrea 6 Phillips, Edward G. 6 Phipps, Eric T. 6 Shashkov, Mikhail J. 6 Tuminaro, Ray S. 6 Vuik, Cornelis 5 An, Hengbin 5 Bellavia, Stefania 5 Chinesta, Francisco 5 Codina, Ramon 5 Després, Bruno 5 Ginting, Victor 5 Hajduk, Hennes 5 Hou, Yanren 5 Howle, Victoria E. 5 Hwang, Fengnan 5 Knoll, Dana A. 5 Ladevèze, Pierre 5 Lee, Chun Hean 5 MacLachlan, Scott P. 5 Matthies, Gunar 5 Stabile, Giovanni 5 Xu, Xiaowen 5 Yang, Xiaofeng 5 Zeng, Xianyi 4 Aguirre, Miquel 4 Ammar, Amine 4 Barrenechea, Gabriel R. 4 Benzi, Michele 4 Bochev, Pavel B. 4 Conde, Sidafa 4 Deparis, Simone 4 Elman, Howard C. 4 Gee, Michael W. 4 Greif, Chen 4 He, Xiaoming 4 Hennigan, Gary L. 4 Hu, Jonathan J. 4 Ketcheson, David I. 4 Knobloch, Petr 4 Larson, Mats G. 4 Luo, Li 4 Mabuza, Sibusiso 4 Martín, Alberto F. 4 Mitchell, Lawrence 4 Mo, Zeyao 4 Morgan, Nathaniel R. 4 Nguyen, Ngoc Cuong 4 Planas, Ramon 4 Ruiz-Baier, Ricardo 4 Salinger, Andrew G. 4 Turek, Stefan 4 Waisman, Haim 4 Wathen, Michael 4 Woodward, Carol S. 4 Xu, Jinchao 4 Zhang, Tie 3 Akkerman, Ido 3 Aulisa, Eugenio 3 Barnafi, Nicolás A. 3 Berger-Vergiat, Luc 3 Bermejo, Rodolfo 3 Bluck, Michael J. 3 Bonilla, Jesús 3 Burman, Erik 3 Burton, Donald E. ...and 1,142 more Authors all top 5 Cited in 104 Serials 156 Journal of Computational Physics 113 Computer Methods in Applied Mechanics and Engineering 44 SIAM Journal on Scientific Computing 30 Journal of Scientific Computing 27 Computers & Mathematics with Applications 25 Computers and Fluids 22 Journal of Computational and Applied Mathematics 19 International Journal for Numerical Methods in Fluids 19 Applied Numerical Mathematics 17 Applied Mathematics and Computation 16 International Journal for Numerical Methods in Engineering 12 Computational Mechanics 10 Archives of Computational Methods in Engineering 8 Communications in Computational Physics 7 SIAM Journal on Numerical Analysis 6 Numerische Mathematik 5 BIT 5 Mathematics and Computers in Simulation 5 Advances in Computational Mathematics 5 International Journal of Computational Fluid Dynamics 4 Numerical Methods for Partial Differential Equations 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 International Journal of Computer Mathematics 4 Computational Methods in Applied Mathematics 3 Journal of Fluid Mechanics 3 Mathematics of Computation 3 Calcolo 3 SIAM Journal on Matrix Analysis and Applications 3 Applied Mathematical Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 European Journal of Mechanics. B. Fluids 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Advances in Applied Mathematics and Mechanics 3 East Asian Journal on Applied Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Theoretical and Computational Fluid Dynamics 2 Computing 2 Journal of Computational Mathematics 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Journal of Non-Newtonian Fluid Mechanics 2 Computational Optimization and Applications 2 Numerical Linear Algebra with Applications 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Engineering Analysis with Boundary Elements 2 Optimization Methods & Software 2 Computational Geosciences 2 Engineering Computations 2 Journal of Numerical Mathematics 2 International Journal of Computational Methods 2 S\(\vec{\text{e}}\)MA Journal 2 SMAI Journal of Computational Mathematics 2 Communications on Applied Mathematics and Computation 1 Computer Physics Communications 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 SIAM Review 1 SIAM Journal on Optimization 1 Test 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Flow, Turbulence and Combustion 1 Communications in Nonlinear Science and Numerical Simulation 1 Combustion Theory and Modelling 1 Optimization and Engineering 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Journal of Turbulence 1 Journal of Applied Mathematics 1 Sādhanā 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Numerical Analysis and Modeling 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 SIAM Journal on Financial Mathematics 1 Advances in Numerical Analysis ...and 4 more Serials all top 5 Cited in 28 Fields 520 Numerical analysis (65-XX) 410 Fluid mechanics (76-XX) 191 Partial differential equations (35-XX) 72 Mechanics of deformable solids (74-XX) 28 Biology and other natural sciences (92-XX) 24 Classical thermodynamics, heat transfer (80-XX) 21 Optics, electromagnetic theory (78-XX) 21 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 11 Operations research, mathematical programming (90-XX) 10 Probability theory and stochastic processes (60-XX) 8 Ordinary differential equations (34-XX) 8 Statistics (62-XX) 7 Computer science (68-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year