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20242026
most citedSmoothers with localized residual computations for geometric multigrid methods

5 citations · 5 across the 14 of their papers we have counts for

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math.NA2025

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…

math.NA2025

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…

math.NA2025

A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method

Michal Wichrowski

This paper introduces a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While SBM simplifies mesh generation…

math.NA2025

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…

math.NA2025

Matrix-Free Ghost Penalty Evaluation via Tensor Product Factorization

Michał Wichrowski

We present a matrix-free approach for implementing ghost penalty stabilization in Cut Finite Element Methods (CutFEM). While matrix-free methods for CutFEM have been developed, the…