Bonilla, J.; Shadid, J. N.; Tang, X.-Z.; Crockatt, M. M.; Ohm, P.; Phillips, E. G.; Pawlowski, R. P.; Conde, S.; Beznosov, O. On a fully-implicit VMS-stabilized FE formulation for low Mach number compressible resistive MHD with application to MCF. (English) Zbl 07788100 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116359, 23 p. (2023). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{J. Bonilla} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116359, 23 p. (2023; Zbl 07788100) Full Text: DOI
Crockatt, Michael M.; Mabuza, Sibusiso; Shadid, John N.; Conde, Sidafa; Smith, Thomas M.; Pawlowski, Roger P. An implicit monolithic AFC stabilization method for the CG finite element discretization of the fully-ionized ideal multifluid electromagnetic plasma system. (English) Zbl 07540348 J. Comput. Phys. 464, Article ID 111228, 28 p. (2022). MSC: 76Mxx 65Mxx 76Wxx PDFBibTeX XMLCite \textit{M. M. Crockatt} et al., J. Comput. Phys. 464, Article ID 111228, 28 p. (2022; Zbl 07540348) Full Text: DOI
Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. (English) Zbl 1436.76030 J. Comput. Phys. 410, Article ID 109390, 27 p. (2020). MSC: 76M10 76W05 PDFBibTeX XMLCite \textit{S. Mabuza} et al., J. Comput. Phys. 410, Article ID 109390, 27 p. (2020; Zbl 1436.76030) Full Text: DOI Link
Miller, S. T.; Cyr, E. C.; Shadid, J. N.; Kramer, R. M. J.; Phillips, E. G.; Conde, S.; Pawlowski, R. P. IMEX and exact sequence discretization of the multi-fluid plasma model. (English) Zbl 1453.76081 J. Comput. Phys. 397, Article ID 108806, 22 p. (2019). MSC: 76M10 76X05 65M60 65Z05 PDFBibTeX XMLCite \textit{S. T. Miller} et al., J. Comput. Phys. 397, Article ID 108806, 22 p. (2019; Zbl 1453.76081) Full Text: DOI Link
Lin, P. T.; Shadid, J. N.; Hu, J. J.; Pawlowski, R. P.; Cyr, E. C. Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD. (English) Zbl 1443.76152 J. Comput. Appl. Math. 344, 782-793 (2018). MSC: 76M10 65M55 76W05 65F08 65Y05 PDFBibTeX XMLCite \textit{P. T. Lin} et al., J. Comput. Appl. Math. 344, 782--793 (2018; Zbl 1443.76152) Full Text: DOI Link
Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D. Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. (English) Zbl 1423.76275 Comput. Methods Appl. Mech. Eng. 304, 1-25 (2016). MSC: 76M10 65M60 65M55 76W05 PDFBibTeX XMLCite \textit{J. N. Shadid} et al., Comput. Methods Appl. Mech. Eng. 304, 1--25 (2016; Zbl 1423.76275) Full Text: DOI
Shadid, J. N.; Smith, T. M.; Cyr, E. C.; Wildey, T. M.; Pawlowski, R. P. Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities. (English) Zbl 1349.76266 J. Comput. Phys. 321, 321-341 (2016). MSC: 76M10 65M60 65M15 76D05 PDFBibTeX XMLCite \textit{J. N. Shadid} et al., J. Comput. Phys. 321, 321--341 (2016; Zbl 1349.76266) Full Text: DOI
Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P. Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD. (English) Zbl 1349.76903 SIAM J. Sci. Comput. 38, No. 6, B1009-B1031 (2016). MSC: 76W05 65F08 65M22 PDFBibTeX XMLCite \textit{E. G. Phillips} et al., SIAM J. Sci. Comput. 38, No. 6, B1009--B1031 (2016; Zbl 1349.76903) Full Text: DOI
Sondak, D.; Shadid, J. N.; Oberai, A. A.; Pawlowski, R. P.; Cyr, E. C.; Smith, T. M. A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics. (English) Zbl 1349.76140 J. Comput. Phys. 295, 596-616 (2015). MSC: 76F65 65M60 76M10 76W05 PDFBibTeX XMLCite \textit{D. Sondak} et al., J. Comput. Phys. 295, 596--616 (2015; Zbl 1349.76140) Full Text: DOI arXiv
Phillips, Edward G.; Elman, Howard C.; Cyr, Eric C.; Shadid, John N.; Pawlowski, Roger P. A block preconditioner for an exact penalty formulation for stationary MHD. (English) Zbl 1308.76333 SIAM J. Sci. Comput. 36, No. 6, B930-B951 (2014). MSC: 76W05 65F08 65M22 PDFBibTeX XMLCite \textit{E. G. Phillips} et al., SIAM J. Sci. Comput. 36, No. 6, B930--B951 (2014; Zbl 1308.76333) Full Text: DOI
Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S.; Pawlowski, Roger P.; Chacón, Luis A new approximate block factorization preconditioner for two-dimensional incompressible (reduced) resistive MHD. (English) Zbl 1273.76269 SIAM J. Sci. Comput. 35, No. 3, B701-B730 (2013). MSC: 76M10 65F08 65M60 76W05 PDFBibTeX XMLCite \textit{E. C. Cyr} et al., SIAM J. Sci. Comput. 35, No. 3, B701--B730 (2013; Zbl 1273.76269) Full Text: DOI
Lin, Paul T.; Shadid, John N.; Tuminaro, Raymond S.; Sala, Marzio; Hennigan, Gary L.; Pawlowski, Roger P. A parallel fully coupled algebraic multilevel preconditioner applied to multiphysics PDE applications: drift-diffusion, flow/transport/reaction, resistive MHD. (English) Zbl 1427.65036 Int. J. Numer. Methods Fluids 64, No. 10-12, 1148-1179 (2010). MSC: 65F08 65M55 65M60 65Y05 PDFBibTeX XMLCite \textit{P. T. Lin} et al., Int. J. Numer. Methods Fluids 64, No. 10--12, 1148--1179 (2010; Zbl 1427.65036) Full Text: DOI
Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S. Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. (English) Zbl 1425.76312 J. Comput. Phys. 229, No. 20, 7649-7671 (2010). MSC: 76W05 76M10 PDFBibTeX XMLCite \textit{J. N. Shadid} et al., J. Comput. Phys. 229, No. 20, 7649--7671 (2010; Zbl 1425.76312) Full Text: DOI Link
Pawlowski, Roger P.; Simonis, Joseph P.; Walker, Homer F.; Shadid, John N. Inexact Newton dogleg methods. (English) Zbl 1183.65055 SIAM J. Numer. Anal. 46, No. 4, 2112-2132 (2008). Reviewer: Zhen Mei (Toronto) MSC: 65H10 65F10 65J15 PDFBibTeX XMLCite \textit{R. P. Pawlowski} et al., SIAM J. Numer. Anal. 46, No. 4, 2112--2132 (2008; Zbl 1183.65055) Full Text: DOI Link
Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B. Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. (English) Zbl 1178.76240 Comput. Methods Appl. Mech. Eng. 195, No. 13-16, 1846-1871 (2006). MSC: 76M10 76V05 80A20 PDFBibTeX XMLCite \textit{J. N. Shadid} et al., Comput. Methods Appl. Mech. Eng. 195, No. 13--16, 1846--1871 (2006; Zbl 1178.76240) Full Text: DOI
Pawlowski, Roger P; Shadid, John N.; Simonis, Joseph P.; Walker, Homer F. Globalization tecniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations. (English) Zbl 1110.65039 SIAM Rev. 48, No. 4, 700-721 (2006). MSC: 65H10 76D05 76M10 PDFBibTeX XMLCite \textit{R. P Pawlowski} et al., SIAM Rev. 48, No. 4, 700--721 (2006; Zbl 1110.65039) Full Text: DOI
Pawlowski, R. P.; Salinger, A. G.; Shadid, J. N.; Mountziaris, T. J. Bifurcation and stability analysis of laminar isothermal counterflowing jets. (English) Zbl 1086.76019 J. Fluid Mech. 551, 117-139 (2006). MSC: 76E99 76D25 76M10 PDFBibTeX XMLCite \textit{R. P. Pawlowski} et al., J. Fluid Mech. 551, 117--139 (2006; Zbl 1086.76019) Full Text: DOI
Salinger, A. G.; Pawlowski, R. P.; Shadid, J. N.; van Bloemen Waanders, B.; Barlett, R.; Itle, G. C.; Biegler, L. Optimization of large-scale reacting flows using MPSalsa and sequential quadratric programming. (English) Zbl 1138.76344 Biegler, Lorenz T. (ed.) et al., Large-scale PDE-constrained optimization. Berlin: Springer (ISBN 3-540-05045-0/pbk). Lect. Notes Comput. Sci. Eng. 30, 45-59 (2003). MSC: 76D55 76V05 76M10 90C20 PDFBibTeX XMLCite \textit{A. G. Salinger} et al., Lect. Notes Comput. Sci. Eng. 30, 45--59 (2003; Zbl 1138.76344) Full Text: DOI
Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N. Computational bifurcation and stability studies of the 8:1 thermal cavity problem. (English) Zbl 1047.76053 Int. J. Numer. Methods Fluids 40, No. 8, 1059-1073 (2002). MSC: 76M10 76E06 80A20 PDFBibTeX XMLCite \textit{A. G. Salinger} et al., Int. J. Numer. Methods Fluids 40, No. 8, 1059--1073 (2002; Zbl 1047.76053) Full Text: DOI