38 citations · 195 across the 39 of their papers we have counts for
5 papers · 2 filters
Generalizing Reduction-Based Algebraic Multigrid
Tareq Zaman, Nicolas Nytko, Ali Taghibakhshi +3
Algebraic Multigrid (AMG) methods are often robust and effective solvers for solving the large and sparse linear systems that arise from discretized PDEs and other problems, relyin…
Constraint-satisfying Krylov solvers for structure-preserving discretisations
James Jackaman, Scott MacLachlan
A key consideration in the development of numerical schemes for time-dependent partial differential equations (PDEs) is the ability to preserve certain properties of the continuum…
Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective
H. De Sterck, S. Friedhoff, O. A. Krzysik +1
A long-standing issue in the parallel-in-time community is the poor convergence of standard iterative parallel-in-time methods for hyperbolic partial differential equations (PDEs),…
Finite-element discretization of the smectic density equation
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
The fourth-order PDE that models the density variation of smectic A liquid crystals presents unique challenges in its (numerical) analysis beyond more common fourth-order operators…
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow
Razan Abu-Labdeh, Scott MacLachlan, Patrick E. Farrell
Most research on preconditioners for time-dependent PDEs has focused on implicit multi-step or diagonally-implicit multi-stage temporal discretizations. In this paper, we consider…