All Outputs (2)

PCPATCH: software for the topological construction of multigrid relaxation methods (2021)
Journal Article
Farrell, P. E., Knepley, M. G., Mitchell, L., & Wechsung, F. (2021). PCPATCH: software for the topological construction of multigrid relaxation methods. ACM Transactions on Mathematical Software, 47(3), 1-22. https://doi.org/10.1145/3445791

Effective relaxation methods are necessary for good multigrid convergence. For many equations, standard Jacobi and Gauß–Seidel are inadequate, and more sophisticated space decompositions are required; examples include problems with semidefinite terms... Read More about PCPATCH: software for the topological construction of multigrid relaxation methods.

A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations (2021)
Journal Article
Farrell, P. E., Mitchell, L., Scott, L. R., & Wechsung, F. (2021). A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. The SMAI journal of computational mathematics, 7, 75-96. https://doi.org/10.5802/smai-jcm.72

Augmented Lagrangian preconditioners have successfully yielded Reynolds-robust preconditioners for the stationary incompressible Navier–Stokes equations, but only for specific discretizations. The discretizations for which these preconditioners have... Read More about A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations.