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Automating embedded analysis capabilities and managing software complexity in multiphysics simulation, Part II: Application to partial differential equations.

R. Pawlowski, E. Phipps, A. Salinger, S. Owen, C. Siefert, и M. Staten. Sci. Program., 20 (3): 327-345 (2012)

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Georg Pawlowski

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Automating embedded analysis capabilities and managing software complexity in multiphysics simulation, Part II: Application to partial differential equations.R. Pawlowski, E. Phipps, A. Salinger, S. Owen, C. Siefert, и M. Staten. Sci. Program., 20 (3): 327-345 (2012)A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD.E. Cyr, J. Shadid, R. Tuminaro, R. Pawlowski, и L. Chacón. SIAM J. Sci. Comput., (2013)A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD.E. Phillips, H. Elman, E. Cyr, J. Shadid, и R. Pawlowski. SIAM J. Sci. Comput., (2014)Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD.E. Phillips, J. Shadid, E. Cyr, H. Elman, и R. Pawlowski. SIAM J. Sci. Comput., (2016)IMEX and exact sequence discretization of the multi-fluid plasma model.S. Miller, E. Cyr, J. Shadid, R. Kramer, E. Phillips, S. Conde, и R. Pawlowski. J. Comput. Phys., (2019)An implicit monolithic AFC stabilization method for the CG finite element discretization of the fully-ionized ideal multifluid electromagnetic plasma system.M. Crockatt, S. Mabuza, J. Shadid, S. Conde, T. Smith, и R. Pawlowski. J. Comput. Phys., (2022)Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods.J. Shadid, R. Pawlowski, J. Banks, L. Chacón, P. Lin, и R. Tuminaro. J. Comput. Phys., 229 (20): 7649-7671 (2010)A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations.S. Mabuza, J. Shadid, E. Cyr, R. Pawlowski, и D. Kuzmin. J. Comput. Phys., (2020)Inexact Newton Dogleg Methods.R. Pawlowski, J. Simonis, H. Walker, и J. Shadid. SIAM J. Numer. Anal., 46 (4): 2112-2132 (2008)The Virtual Environment for Reactor Applications (VERA): Design and architecture☆.J. Turner, K. Clarno, M. Sieger, R. Bartlett, B. Collins, R. Pawlowski, R. Schmidt, и R. Summers. J. Comput. Phys., (2016)

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