An energy-based AMG coarsening strategy. - James J. Brannick; Marian Brezina; Scott P. MacLachlan; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (Numer. Linear Algebra Appl., 2006)

Uniform convergence of the multigrid V-cycle on graded meshes for corner singularities. - James J. Brannick; Hengguang Li; Ludmil T. Zikatanov (Numer. Linear Algebra Appl., 2008)

Compatible Relaxation and Coarsening in Algebraic Multigrid. - James J. Brannick; Robert D. Falgout (SIAM J. Sci. Comput., 2010)

Least-Squares Finite Element Methods for Quantum Electrodynamics. - James J. Brannick; Christian Ketelsen; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Sci. Comput., 2010)

First-order system least squares and the energetic variational approach for two-phase flow. - J. H. Adler; James J. Brannick; Chun Liu 009; Thomas A. Manteuffel; Ludmil T. Zikatanov (J. Comput. Phys., 2011)

A Bootstrap Algebraic Multilevel Method for Markov Chains. - Matthias Bolten; Achi Brandt; James J. Brannick; Andreas Frommer; Karsten Kahl; Ira Livshits (SIAM J. Sci. Comput., 2011)

Bootstrap AMG. - Achi Brandt; James J. Brannick; Karsten Kahl; Irene Livshits (SIAM J. Sci. Comput., 2011)

An auxiliary space preconditioner for linear elasticity based on the generalized finite element method. - James J. Brannick; Durkbin Cho (Numer. Linear Algebra Appl., 2012)

An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching. - James J. Brannick; Yao Chen; Ludmil T. Zikatanov (Numer. Linear Algebra Appl., 2012)

Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs. - James J. Brannick; Yao Chen; Johannes Kraus 001; Ludmil T. Zikatanov (SIAM J. Numer. Anal., 2013)

An Algebraic Multigrid Method Based on Matching in Graphs. - James J. Brannick; Yao Chen; Johannes Kraus 001; Ludmil T. Zikatanov (Domain Decomposition Methods in Science and Engineering XX, 2013)

Bootstrap Algebraic Multigrid for the 2D Wilson Dirac system. - James J. Brannick; Karsten Kahl (SIAM J. Sci. Comput., 2014)

Multigrid preconditioning for the overlap operator in lattice QCD. - James J. Brannick; Andreas Frommer; Karsten Kahl; Björn Leder; Matthias Rottmann; Artur Strebel (Numerische Mathematik, 2016)

Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid. - James J. Brannick; Fei Cao; Karsten Kahl; Robert D. Falgout; Xiaozhe Hu (SIAM J. Sci. Comput., 2018)

Multigrid methods. - James J. Brannick (Numer. Linear Algebra Appl., 2021)

A Bootstrap Multigrid Eigensolver. - James J. Brannick; Shuhao Cao (SIAM J. Matrix Anal. Appl., 2022)

Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth (CoRR, 2024)

Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth (SIAM J. Sci. Comput., 2024)

Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth; Alexey Voronin (CoRR, 2025)

Nodal AMG Coarsening and Interpolation for PDE Systems. - James J. Brannick; Robert D. Falgout; Karsten Kahl; Jacob B. Schroder; Taoli Shen (CoRR, 2025)