3 papers
math.NA2019
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…
math.AP2018
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…
math.NA2017
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…