13 citations · 31 across the 17 of their papers we have counts for
19 papers
The Role of Energy Minimization in Algebraic Multigrid Interpolation
James Brannick, Scott P. MacLachlan, Jacob B. Schroder +1
Algebraic multigrid (AMG) methods are powerful solvers with linear or near-linear computational complexity for certain classes of linear systems, Ax=b. Broadening the scope of prob…
Analysis of the energy dissipation laws in multi-component phase field models
Arkadz Kirshtein, James Brannick, Chun Liu
In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved…
Optimal interpolation and Compatible Relaxation in Classical Algebraic Multigrid
James Brannick, Fei Cao, Karsten Kahl +2
In this paper, we consider a classical form of optimal algebraic multigrid (AMG) interpolation that directly minimizes the two-grid convergence rate and compare it with the so-call…
A Bootstrap Multigrid Eigensolver
James Brannick, Shuhao Cao
This paper introduces bootstrap multigrid methods for solving eigenvalue problems arising from the discretization of partial differential equations. Inspired by the full bootstrap…
Multigrid Preconditioning for the Overlap Operator in Lattice QCD
James Brannick, Andreas Frommer, Karsten Kahl +3
The overlap operator is a lattice discretization of the Dirac operator of quantum chromodynamics, the fundamental physical theory of the strong interaction between the quarks. As o…
Microphysics of Neutron Star Outer Envelopes in the Periodized, Magnetic Thomas-Fermi Model
Tyler A. Engstrom, Vincent H. Crespi, Benjamin J. Owen +2
Static and dynamic properties of low density outer envelopes of neutron stars are calculated within the nonlinear magnetic Thomas-Fermi model, assuming degenerate electrons. A nove…
Bootstrap Algebraic Multigrid: status report, open problems, and outlook
Achi Brandt, James Brannick, Karsten Kahl +1
This paper provides an overview of the main ideas driving the bootstrap algebraic multigrid methodology, including compatible relaxation and algebraic distances for defining effect…
Diffuse Interface Methods for Multiple Phase Materials: An Energetic Variational Approach
J. Brannick, C. Liu, T. Qian +1
In this paper, we introduce a diffuse interface model for describing the dynamics of mixtures involving multiple (two or more) phases. The coupled hydrodynamical system is derived…
An Adaptively Constructed Algebraic Multigrid Preconditioner for Irreducible Markov Chains
James Brannick, Karsten Kahl, Sonja Sokolovic
The computation of stationary distributions of Markov chains is an important task in the simulation of stochastic models. The linear systems arising in such applications involve no…
Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive coarsening
James Brannick, Xiaozhe Hu, Carmen Rodrigo +1
We focus on the study of multigrid methods with aggressive coarsening and polynomial smoothers for the solution of the linear systems corresponding to finite difference/element dis…
Bootstrap Algebraic Multigrid for the 2D Wilson Dirac system
James Brannick, Karsten Kahl
We develop an algebraic multigrid method for solving the non-Hermitian Wilson discretization of the 2-dimensional Dirac equation. The proposed approach uses a bootstrap setup algor…
Aggregation-based aggressive coarsening with polynomial smoothing
James Brannick
This paper develops an algebraic multigrid preconditioner for the graph Laplacian. The proposed approach uses aggressive coarsening based on the aggregation framework in the setup…
Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs
James Brannick, Yao Chen, Xiaozhe Hu +1
We design and implement a parallel algebraic multigrid method for isotropic graph Laplacian problems on multicore Graphical Processing Units (GPUs). The proposed AMG method is base…
Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs
James Brannick, Yao Chen, Johannes Kraus +1
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…
An algebraic distances measure of AMG strength of connection
Achi Brandt, James Brannick, Karsten Kahl +1
Algebraic multigrid is an iterative method that is often optimal for solving the matrix equations that arise in a wide variety of applications, including discretized partial differ…
First-Order System Least Squares and the Energetic Variational Approach for Two-Phase Flow
J. H. Adler, J. Brannick, C. Liu +2
This paper develops a first-order system least-squares (FOSLS) formulation for equations of two-phase flow. The main goal is to show that this discretization, along with numerical…
A Bootstrap Algebraic Multilevel method for Markov Chains
M. Bolten, A. Brandt, J. Brannick +3
This work concerns the development of an Algebraic Multilevel method for computing stationary vectors of Markov chains. We present an efficient Bootstrap Algebraic Multilevel metho…
Auxiliary space preconditioners for linear elasticity based on generalized finite element methods
James Brannick, Durkbin Cho
We construct and analyze a preconditioner of the linear elastiity system discretized by conforming linear finite elements in the framework of the auxiliary space method. The auxili…
The role of multigrid algorithms for LQCD
Ronald Babich, James Brannick, Richard C. Brower +4
We report on the first successful QCD multigrid algorithm which demonstrates constant convergence rates independent of quark mass and lattice volume for the Wilson Dirac operator.…