4 papers · 1 filter
A Theory of Relaxation-Based Algebraic Multigrid
Rayan Moussa, Karsten Kahl
Algebraic multigrid (AMG) methods derive their optimal efficiency from the interplay between a relaxation process and a corresponding coarse grid correction. In many standard formu…
Nodal Coarsening and Sparse Ideal Interpolation for H(curl) Problems in Algebraic Multigrid
Taoli Shen, James Brannick, Robert Falgout +2
We propose a sparse interpolation construction and a practical coarsening algorithm for the algebraic multigrid (AMG) method, tailored towards H(curl). Building on the generalized…
Nodal AMG Coarsening and Interpolation for PDE Systems
James Brannick, Robert Falgout, Karsten Kahl +2
We present an approach to constructing a practical coarsening algorithm and interpolation operator for the algebraic multigrid (AMG) method, tailored towards systems of partial dif…
Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
Ahsan Ali, James J. Brannick, Karsten Kahl +4
This paper discusses our recent generalized optimal algebraic multigrid (AMG) convergence theory applied to the steady-state Stokes equations discretized using Taylor-Hood elements…