Iterative Methods for Nonsymmetric Systems on MIMD Machines. - John N. Shadid; Ray S. Tuminaro (PP, 1991)

Sparse iterative algorithm software for large-scale MIMD machines: An initial discussion and implementation. - John N. Shadid; Ray S. Tuminaro (Concurr. Pract. Exp., 1992)

A 65+ Gflops/s unstructured finite element simulation of chemically reacting flows on the Intel Paragon. - John N. Shadid; Scott A. Hutchinson; Harry Moffat; Gary L. Hennigan; Bruce Hendrickson; Robert W. Leland (SC, 1994)

A Comparison of Preconditioned Nonsymmetric Krylov Methods on a Large-Scale MIMD Machine. - John N. Shadid; Ray S. Tuminaro (SIAM J. Sci. Comput., 1994)

High Performance MP Unstructured Finite Element Simulation of Chemically Reacting Flows. - Karen D. Devine; Gary L. Hennigan; Scott A. Hutchinson; Andrew G. Salinger; John N. Shadid; Ray S. Tuminaro (SC, 1997)

Efficient Parallel Computation of Unstructured Finite Element Reacting Flow Solutions. - John N. Shadid; Scott A. Hutchinson; Gary L. Hennigan; Harry Moffat; Karen D. Devine; Andrew G. Salinger (Parallel Comput., 1997)

Electrical defibrillation optimization: an automated, iterative parallel finite-element approach. - Scott A. Hutchinson; Kwong T. Ng; John N. Shadid; Ahmed Nadeem (IEEE Trans. Biomed. Eng., 1997)

Parallel sparse matrix vector multiply software for matrices with data locality. - Ray S. Tuminaro; John N. Shadid; Scott A. Hutchinson (Concurr. Pract. Exp., 1998)

A tailored optimization strategy for PDE-based design: application to a CVD reactor. - G. C. Itle; Andrew G. Salinger; Roger P. Pawlowski; John N. Shadid; Lorenz T. Biegler (Comput. Chem. Eng., 2004)

A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem. - Teri Barth; Pavel B. Bochev; Max D. Gunzburger; John N. Shadid (SIAM J. Sci. Comput., 2004)

An Improved Convergence Bound for Aggregation-Based Domain Decomposition Preconditioners. - Marzio Sala; John N. Shadid; Ray S. Tuminaro (SIAM J. Matrix Anal. Appl., 2005)

Globalization Techniques for Newton-Krylov Methods and Applications to the Fully Coupled Solution of the Navier-Stokes Equations. - Roger P. Pawlowski; John N. Shadid; Joseph P. Simonis; Homer F. Walker (SIAM Rev., 2006)

Block Preconditioners Based on Approximate Commutators. - Howard C. Elman; Victoria E. Howle; John N. Shadid; Robert Shuttleworth; Ray S. Tuminaro (SIAM J. Sci. Comput., 2006)

Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations. - Howard C. Elman; Victoria E. Howle; John N. Shadid; David J. Silvester; Ray S. Tuminaro (SIAM J. Sci. Comput., 2007)

A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. - Howard C. Elman; Victoria E. Howle; John N. Shadid; Robert Shuttleworth; Ray Tuminaro (J. Comput. Phys., 2008)

An A Posteriori-A Priori Analysis of Multiscale Operator Splitting. - Donald J. Estep; Victor Ginting; David L. Ropp; John N. Shadid; Simon Tavener (SIAM J. Numer. Anal., 2008)

Inexact Newton Dogleg Methods. - Roger P. Pawlowski; Joseph P. Simonis; Homer F. Walker; John N. Shadid (SIAM J. Numer. Anal., 2008)

An evaluation of the FCT method for high-speed flows on structured overlapping grids. - Jeffrey W. Banks; William D. Henshaw; John N. Shadid (J. Comput. Phys., 2009)

Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling. - Paul T. Lin; John N. Shadid; Marzio Sala; Raymond S. Tuminaro; Gary L. Hennigan; Robert J. Hoekstra (J. Comput. Phys., 2009)

Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems. - David L. Ropp; John N. Shadid (J. Comput. Phys., 2009)

Failsafe flux limiting and constrained data projections for equations of gas dynamics. - Dmitri Kuzmin; Matthias Möller; John N. Shadid; Mikhail Yu. Shashkov (J. Comput. Phys., 2010)

Towards large-scale multi-socket, multicore parallel simulations: Performance of an MPI-only semiconductor device simulator. - Paul T. Lin; John N. Shadid (J. Comput. Phys., 2010)

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. - John N. Shadid; Roger P. Pawlowski; Jeffrey W. Banks; Luis Chacón; Paul T. Lin; Raymond S. Tuminaro (J. Comput. Phys., 2010)

Stabilization and scalable block preconditioning for the Navier-Stokes equations. - Eric C. Cyr; John N. Shadid; Raymond S. Tuminaro (J. Comput. Phys., 2012)

Multiphysics simulations: Challenges and opportunities. - David E. Keyes; Lois C. McInnes; Carol S. Woodward; William Gropp; Eric Myra; Michael Pernice; John B. Bell; Jed Brown; Alain Clo; Jeffrey M. Connors; Emil M. Constantinescu; Donald J. Estep; et al. (Int. J. High Perform. Comput. Appl., 2013)

A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD. - Eric C. Cyr; John N. Shadid; Raymond S. Tuminaro; Roger P. Pawlowski; Luis Chacón (SIAM J. Sci. Comput., 2013)

Approaches for Adjoint-Based A Posteriori Analysis of Stabilized Finite Element Methods. - Eric C. Cyr; John N. Shadid; Tim Wildey (SIAM J. Sci. Comput., 2014)

A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD. - Edward G. Phillips; Howard C. Elman; Eric C. Cyr; John N. Shadid; Roger P. Pawlowski (SIAM J. Sci. Comput., 2014)

A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics. - David Sondak; John N. Shadid; Assad A. Oberai; Roger P. Pawlowski; Eric C. Cyr; Thomas M. Smith (J. Comput. Phys., 2015)

Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities. - John N. Shadid; Thomas M. Smith; Eric C. Cyr; Tim Wildey; Roger P. Pawlowski (J. Comput. Phys., 2016)

Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier-Stokes and MHD. - Eric C. Cyr; John N. Shadid; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2016)

Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD. - Edward G. Phillips; John N. Shadid; Eric C. Cyr; Howard C. Elman; Roger P. Pawlowski (SIAM J. Sci. Comput., 2016)

Implicit-Explicit Strong Stability Preserving Runge-Kuta Methods with High Linear Order. - Sidafa Conde; Sigal Gottlieb; Zachary J. Grant; John N. Shadid (PEARC, 2017)

Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. - Christoph Lohmann; Dmitri Kuzmin; John N. Shadid; Sibusiso Mabuza (J. Comput. Phys., 2017)

Implicit and Implicit-Explicit Strong Stability Preserving Runge-Kutta Methods with High Linear Order. - Sidafa Conde; Sigal Gottlieb; Zachary J. Grant; John N. Shadid (J. Sci. Comput., 2017)

Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces. - Andrew G. Salinger; Paul G. Constantine; John N. Shadid; Timothy Wildey (Stat. Anal. Data Min., 2017)

Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD. - Paul T. Lin; John N. Shadid; Jonathan J. Hu; Roger P. Pawlowski; Eric C. Cyr (J. Comput. Appl. Math., 2018)

Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. - Sibusiso Mabuza; John N. Shadid; Dmitri Kuzmin (J. Comput. Phys., 2018)

Scalable Preconditioners for Structure Preserving Discretizations of Maxwell Equations in First Order Form. - Edward G. Phillips; John N. Shadid; Eric C. Cyr (SIAM J. Sci. Comput., 2018)

On differentiable local bounds preserving stabilization for Euler equations. - Santiago Badia; Jesús Bonilla; Sibusiso Mabuza; John N. Shadid (CoRR, 2019)

IMEX and exact sequence discretization of the multi-fluid plasma model. - Sean T. Miller; Eric C. Cyr; John N. Shadid; Richard M. J. Kramer; Edward G. Phillips; Sidafa Conde; Roger P. Pawlowski (J. Comput. Phys., 2019)

Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations. - Jeonghun J. Lee; Stephen Shannon; Tan Bui-Thanh; John N. Shadid (SIAM J. Numer. Anal., 2019)

A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD. - Sriramkrishnan Muralikrishnan; Stephen Shannon; Tan Bui-Thanh; John N. Shadid (CoRR, 2020)

A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. - Sibusiso Mabuza; John N. Shadid; Eric C. Cyr; Roger P. Pawlowski; Dmitri Kuzmin (J. Comput. Phys., 2020)

A multilevel approach for trace system in HDG discretizations. - Sriramkrishnan Muralikrishnan; Tan Bui-Thanh; John N. Shadid (J. Comput. Phys., 2020)

A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD. - Peter Ohm; Tobias A. Wiesner; Eric C. Cyr; Jonathan J. Hu; John N. Shadid; Raymond S. Tuminaro (CoRR, 2021)

An A Posteriori Error Analysis for the Equations of Stationary Incompressible Magnetohydrodynamics. - Jehanzeb H. Chaudhry; Ari E. Rappaport; John N. Shadid (SIAM J. Sci. Comput., 2021)

Local-in-time structure-preserving finite-element schemes for the Euler-Poisson equations. - Matthias Maier; John N. Shadid; Ignacio Tomas (CoRR, 2022)

Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods. - Imre Fekete; Sidafa Conde; John N. Shadid (J. Comput. Appl. Math., 2022)

An implicit monolithic AFC stabilization method for the CG finite element discretization of the fully-ionized ideal multifluid electromagnetic plasma system. - Michael M. Crockatt; Sibusiso Mabuza; John N. Shadid; Sidafa Conde; Thomas M. Smith; Roger P. Pawlowski (J. Comput. Phys., 2022)

An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD. - Qi Tang 001; Luis Chacón; Tzanio V. Kolev; John N. Shadid; Xian-Zhu Tang (J. Comput. Phys., 2022)

Unified hp-HDG Frameworks for Friedrichs' PDE systems. - Jau-Uei Chen; Shinhoo Kang; Tan Bui-Thanh; John N. Shadid (CoRR, 2023)

Scalable Multiphysics Block Preconditioning for Low Mach Number Compressible Resistive MHD with Application to Magnetic Confinement Fusion. - Peter Ohm; Jesús Bonilla; Edward G. Phillips; John N. Shadid; Michael M. Crockatt; Ray S. Tuminaro; Jonathan J. Hu; Xian-Zhu Tang (SIAM J. Sci. Comput., 2024)

A unified hp-HDG framework for Friedrichs' PDE systems. - Jau-Uei Chen; Shinhoo Kang; Tan Bui-Thanh; John N. Shadid (Comput. Math. Appl., 2024)

Goal-Oriented Low-Rank Tensor Decompositions for Numerical Simulation Data. - Daniel M. Dunlavy; Eric T. Phipps; Hemanth Kolla; John N. Shadid; Edward G. Phillips (CoRR, 2025)