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- James J. Brannick, Marian Brezina, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge
- Numerical Lin. Alg. with Applic.
- 2006

Algebraic multigrid (AMG) is an iterative method that is often optimal for solving the matrix equations that arise in a wide variety of applications, including discretized partial differentialâ€¦ (More)

- Achi Brandt, James J. Brannick, Karsten Kahl, Irene Livshits
- SIAM J. Scientific Computing
- 2011

We develop an Algebraic Multigrid setup scheme based on the Bootstrap framework for multi-scale scientific computation. Our approach uses a weighted least squares definition of interpolation, basedâ€¦ (More)

This paper presents an adaptive algebraic multigrid method for the solution of positive definite linear systems arising from the discretizations of elliptic partial differential equations. Theâ€¦ (More)

- Ronald Babich, James J. Brannick, +5 authors Claudio Rebbi
- Physical review letters
- 2010

We present an adaptive multigrid solver for application to the non-Hermitian Wilson-Dirac system of QCD. The key components leading to the success of our proposed algorithm are the use of an adaptiveâ€¦ (More)

- James J. Brannick, Robert D. Falgout
- SIAM J. Scientific Computing
- 2010

We introduce a coarsening algorithm for algebraic multigrid (AMG) based on the concept of compatible relaxation (CR). The algorithm is significantly different from standard methods, most notablyâ€¦ (More)

- James J. Brannick, Richard C. Brower, Matthew A Clark, James C. Osborn, Claudio Rebbi
- Physical review letters
- 2008

We present a new multigrid solver that is suitable for the Dirac operator in the presence of disordered gauge fields. The key behind the success of the algorithm is an adaptive projection onto theâ€¦ (More)

- James J. Brannick, Marian Brezina, +7 authors Ludmil Zikatanov
- 2005

1 Department of Applied Mathematics, University of Colorado at Boulder, Email: brannick@newton.colorado.edu, mbrezina@math.cudenver.edu, maclachl@colorado.edu, tmanteuf@colorado.edu,â€¦ (More)

- James J. Brannick, Yao Chen, Johannes Kraus, Ludmil Zikatanov
- SIAM J. Numerical Analysis
- 2013

This paper presents estimates of the convergence rate and complexity of an algebraic multilevel preconditioner based on piecewise constant coarse vector spaces applied to the graph Laplacian. A boundâ€¦ (More)

- James J. Brannick, Hengguang Li, Ludmil Zikatanov
- Numerical Lin. Alg. with Applic.
- 2008

This paper analyzes a Multigrid V-cycle scheme for solving the discretized 2D Poisson equation with corner-singularities. Using weighted Sobolev spaces K a (Î©) and a space decomposition based onâ€¦ (More)

- James J. Brannick, Marian Brezina, +7 authors Ludmil Zikatanov
- 2006

Multigrid methods are ideal for solving the increasingly large-scale problems that arise in numerical simulations of physical phenomena because of their potential for computational costs and memoryâ€¦ (More)