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 stochastic approach to uncertainty in the equations of MHD kinematics. - Edward G. Phillips; Howard C. Elman (J. Comput. Phys., 2015)

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)

Towards a Scalable Multifidelity Simulation Approach for Electrokinetic Problems at the Mesoscale. - Brian D. Hong; Mauro Perego; Pavel B. Bochev; Amalie L. Frischknecht; Edward G. Phillips (LSSC, 2017)

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)

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)

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)