Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling. - Andrew T. Barker; Xiao-Chuan Cai (J. Comput. Phys., 2010)

Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction. - Andrew T. Barker; Xiao-Chuan Cai (SIAM J. Sci. Comput., 2010)

Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. - Andrew T. Barker; Susanne C. Brenner; Li-Yeng Sung (J. Num. Math., 2011)

Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method. - Andrew T. Barker; Susanne C. Brenner; Eun-Hee Park 003; Li-Yeng Sung (J. Sci. Comput., 2011)

A Nonoverlapping DD Preconditioner for a Weakly Over-Penalized Symmetric Interior Penalty Method. - Andrew T. Barker; Susanne C. Brenner; Eun-Hee Park 003; Li-Yeng Sung (Domain Decomposition Methods in Science and Engineering XX, 2013)

A minimal communication approach to parallel time integration. - Andrew T. Barker (Int. J. Comput. Math., 2014)

A Mixed Finite Element Method for the Stokes Equations Based on a Weakly Over-Penalized Symmetric Interior Penalty Approach. - Andrew T. Barker; Susanne C. Brenner (J. Sci. Comput., 2014)

A Combined Preconditioning Strategy for Nonsymmetric Systems. - Blanca Ayuso de Dios; Andrew T. Barker; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2014)

Comparative Performance Analysis of Coarse Solvers for Algebraic Multigrid on Multicore and Manycore Architectures. - Alex Druinsky; Pieter Ghysels; Xiaoye S. Li; Osni Marques; Samuel Williams 001; Andrew T. Barker; Delyan Kalchev; Panayot S. Vassilevski (PPAM (1), 2015)

Domain decomposition in time for PDE-constrained optimization. - Andrew T. Barker; Martin Stoll (Comput. Phys. Commun., 2015)

Tuning the Coarse Space Construction in a Spectral AMG Solver. - Osni Marques; Alex Druinsky; Xiaoye S. Li; Andrew T. Barker; Panayot S. Vassilevski; Delyan Kalchev (ICCS, 2016)

Spectral Upscaling for Graph Laplacian Problems with Application to Reservoir Simulation. - Andrew T. Barker; Chak Shing Lee; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2017)

A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method. - Andrew T. Barker; Veselin Dobrev; Jayadeep Gopalakrishnan; Tzanio V. Kolev (SIAM J. Sci. Comput., 2018)

MFEM: a modular finite element methods library. - Robert W. Anderson; Julian Andrej; Andrew T. Barker; Jamie A. Bramwell; Jean-Sylvain Camier; Jakub Cervený; Veselin Dobrev; Yohann Dudouit; Aaron Fisher; Tzanio V. Kolev; Will Pazner; Mark Stowell; et al. (CoRR, 2019)

Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics. - Brian Weston; Robert R. Nourgaliev; Jean-Pierre Delplanque; Andrew T. Barker (J. Comput. Phys., 2019)

Algebraic multigrid preconditioning of the Hessian in PDE-constrained optimization. - Andrew T. Barker; Andrei Draganescu (CoRR, 2020)

MFEM: A modular finite element methods library. - Robert W. Anderson; Julian Andrej; Andrew T. Barker; Jamie A. Bramwell; Jean-Sylvain Camier; Jakub Cervený; Veselin Dobrev; Yohann Dudouit; Aaron Fisher; Tzanio V. Kolev; Will Pazner; Mark Stowell; et al. (Comput. Math. Appl., 2021)

Algebraic multigrid preconditioning of the Hessian in optimization constrained by a partial differential equation. - Andrew T. Barker; Andrei Draganescu (Numer. Linear Algebra Appl., 2021)

Matrix-free preconditioning for high-order H(curl) discretizations. - Andrew T. Barker; Tzanio V. Kolev (Numer. Linear Algebra Appl., 2021)

Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation. - Andrew T. Barker; Stephan V. Gelever; Chak Shing Lee; Sarah V. Osborn; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2021)