5 papers
Towards Matrix-Free Patch Smoothers for the Stokes Problem: Evaluating Local p-Multigrid Solvers
Michał Wichrowski
Vertex-patch smoothers offer an effective strategy for achieving robust geometric multigrid convergence for the Stokes equations, particularly in the context of high-order finite e…
A Geometric Multigrid Preconditioner for Shifted Boundary Method
Michał Wichrowski, Ajay Ajith
The Shifted Boundary Method (SBM) trades some part of the burden of body-fitted meshing for increased algebraic complexity. While the resulting linear systems retain the standard $…
Multigrid p-Robustness at Jacobi Speeds: Efficient Matrix-Free Implementation of Local p-Multigrid Solvers
Michał Wichrowski
Vertex-patch smoothers are essential for the robust convergence of geometric multigrid methods in high-order finite element applications, yet their adoption is traditionally hinder…
Local Solvers for High-Order Patch Smoothers via p-Multigrid
Michał Wichrowski
I propose a vertex patch smoother where local problems are solved inexactly by a nested, matrix-free p-multigrid, creating a multigrid-within-multigrid framework. A single iteratio…
Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead
Michał Wichrowski, Mohsen Rezaee-Hajidehi, Jože Korelc +2
This study explores matrix-free tangent evaluations in finite-strain elasticity with the use of automatically-generated code for the quadrature-point level calculations. The code g…