An improved convergence bound for aggregation-based domain decomposition preconditionersSALA, Marzio; SHADID, John N; TUMINARO, Ray S et al.SIAM journal on matrix analysis and applications. 2005, Vol 27, Num 3, pp 744-756, issn 0895-4798, 13 p.Article

A taxonomy of consistently stabilized finite element methods for the Stokes problemBARTH, Teri; BOCHEV, Pavel; GUNZBURGER, Max et al.SIAM journal on scientific computing (Print). 2004, Vol 25, Num 5, pp 1585-1607, issn 1064-8275, 23 p.Article

Towards large-scale multi-socket, multicore parallel simulations: Performance of an MPI-only semiconductor device simulatorLIN, Paul T; SHADID, John N.Journal of computational physics (Print). 2010, Vol 229, Num 19, pp 6804-6818, issn 0021-9991, 15 p.Article

Stability of operator splitting methods for systems with indefinite operators: Advection―diffusion―reaction systemsROPP, David L; SHADID, John N.Journal of computational physics (Print). 2009, Vol 228, Num 9, pp 3508-3516, issn 0021-9991, 9 p.Article

Studies on the accuracy of time-integration methods for the radiations-diffusion equationsOBER, Curtis C; SHADID, John N.Journal of computational physics (Print). 2004, Vol 195, Num 2, pp 743-772, issn 0021-9991, 30 p.Article

Stability of operator splitting methods for systems with indefinite operators: reaction-diffusion systemsROPP, David L; SHADID, John N.Journal of computational physics (Print). 2005, Vol 203, Num 2, pp 449-466, issn 0021-9991, 18 p.Article

Acceleration of the generalized global basis (GGB) method for nonlinear problemsWAISMAN, Haim; FISH, Jacob; TUMINARO, Raymond S et al.Journal of computational physics (Print). 2005, Vol 210, Num 1, pp 274-291, issn 0021-9991, 18 p.Article

Failsafe flux limiting and constrained data projections for equations of gas dynamicsKUZMIN, Dmitri; MÖLLER, Matthias; SHADID, John N et al.Journal of computational physics (Print). 2010, Vol 229, Num 23, pp 8766-8779, issn 0021-9991, 14 p.Article

Studies of the accuracy of time integration methods for reaction-diffusion equationsROPP, David L; SHADID, John N; OBER, Curtis C et al.Journal of computational physics (Print). 2004, Vol 194, Num 2, pp 544-574, issn 0021-9991, 31 p.Article

Block preconditioners based on appoximate commutatorsELMAN, Howard; HOWLE, Victoria E; SHADID, John et al.SIAM journal on scientific computing (Print). 2006, Vol 27, Num 5, pp 1651-1668, issn 1064-8275, 18 p.Article

Special Issue on Multiphysics simulations: Challenges and opportunitiesKEYES, David E; MCINNES, Lois C; CONSTANTINESCU, Emil et al.The International journal of high performance computing applications. 2013, Vol 27, Num 1, issn 1094-3420, 83 p.Serial Issue

Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary dataGUNZBURGER, Max D; PETERSON, Janet S; SHADID, John N et al.Computer methods in applied mechanics and engineering. 2007, Vol 196, Num 4-6, pp 1030-1047, issn 0045-7825, 18 p.Article

Stabilization and scalable block preconditioning for the Navier-Stokes equationsCYR, Eric C; SHADID, John N; TUMINARO, Raymond S et al.Journal of computational physics (Print). 2012, Vol 231, Num 2, pp 345-363, issn 0021-9991, 19 p.Article

LEAST SQUARES PRECONDITIONERS FOR STABILIZED DISCRETIZATIONS OF THE NAVIER-STOKES EQUATIONSELMAN, Howard; HOWLE, Victoria E; SHADID, John et al.SIAM journal on scientific computing (Print). 2009, Vol 30, Num 1, pp 290-311, issn 1064-8275, 22 p.Article

A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equationsELMAN, Howard; HOWLE, V. E; SHADID, John et al.Journal of computational physics (Print). 2008, Vol 227, Num 3, pp 1790-1808, issn 0021-9991, 19 p.Article

INEXACT NEWTON DOGLEG METHODSPAWLOWSKI, Roger P; SIMONIS, Joseph P; WALKER, Homer F et al.SIAM journal on numerical analysis. 2009, Vol 46, Num 4, pp 2112-2132, issn 0036-1429, 21 p.Article

Globalization techniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equationsPAWLOWSKI, Roger P; SHADID, John N; SIMONIS, Joseph P et al.SIAM review (Print). 2006, Vol 48, Num 4, pp 700-721, issn 0036-1445, 22 p.Article

Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transportLIN, Paul T; SALA, Marzio; SHADID, John N et al.International journal for numerical methods in engineering. 2006, Vol 67, Num 2, pp 208-225, issn 0029-5981, 18 p.Article

Computational analysis and optimization of a chemical vapor deposition reactor with large-scale computingSALINGER, Andrew G; PAWLOWSKI, Roger P; SHADID, John N et al.Industrial & engineering chemistry research. 2004, Vol 43, Num 16, pp 4612-4623, issn 0888-5885, 12 p.Article

Performance of a Petrov―Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equationsLIN, Paul T; SHADID, John N; TUMINARO, Ray S et al.International journal for numerical methods in engineering. 2010, Vol 84, Num 4, pp 448-469, issn 0029-5981, 22 p.Article

Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modelingLIN, Paul T; SHADID, John N; SALA, Marzio et al.Journal of computational physics (Print). 2009, Vol 228, Num 17, pp 6250-6267, issn 0021-9991, 18 p.Article

Computational bifurcation and stability studies of the 8:1 thermal cavity problemSALINGER, Andrew G; LEHOUCQ, Richard B; PAWLOWSKI, Roger P et al.International journal for numerical methods in fluids. 2002, Vol 40, Num 8, pp 1059-1073, issn 0271-2091, 15 p.Conference Paper

A parallel fully coupled algebraic multilevel preconditioner applied to multiphysics PDE applications: Drift-diffusion, flow/transport/reaction, resistive MHDLIN, Paul T; SHADID, John N; TUMINARO, Raymond S et al.International journal for numerical methods in fluids. 2010, Vol 64, Num 10-12, pp 1148-1179, issn 0271-2091, 32 p.Conference Paper