4 papers · 1 filter
Cascading Smoothers for Multigrid
Robert I. Saye
Multigrid methods are among the most effective frameworks for solving large-scale sparse systems. However, achieving their hallmark linear scaling and rapid convergence crucially d…
Efficient multigrid solvers for mixed-degree local discontinuous Galerkin multiphase Stokes problems
Robert I. Saye
We design and investigate efficient multigrid solvers for multiphase Stokes problems discretised via mixed-degree local discontinuous Galerkin methods. Using the template of a stan…
A comparative study of efficient multigrid solvers for high-order local discontinuous Galerkin methods: Poisson, elliptic interface, and multiphase Stokes problems
Robert I. Saye
We design and investigate a variety of multigrid solvers for high-order local discontinuous Galerkin methods applied to elliptic interface and multiphase Stokes problems. Using the…
Fast multigrid solution of high-order accurate multi-phase Stokes problems
Robert Saye
A fast multigrid solver is presented for high-order accurate Stokes problems discretised by local discontinuous Galerkin (LDG) methods. The multigrid algorithm consists of a simple…