5 citations · 5 across the 14 of their papers we have counts for
16 papers
Mixed-Precision Coalesced Matrix-Free Multigrid with Vertex-Patch Smoothing
Michał Wichrowski
I present a geometric multigrid solver for the Poisson equation with continuous cubic elements in three dimensions, smoothed by a multiplicative vertex-patch Schwarz method with ex…
Matrix-Free Local Multigrid for Hermite Discretizations on GPUs
Michał Wichrowski
I present a matrix-free local multigrid method for tensor-product Hermite discretizations on adaptively refined Cartesian meshes, using the clamped biharmonic problem as the…
Adaptive Multilevel Discontinuous Galerkin Methods on GPUs
Michał Wichrowski
I present a matrix-free symmetric interior penalty discontinuous Galerkin method for adaptively refined Cartesian meshes on GPUs. At non-matching interfaces, auxiliary \emph{shadow…
A Multigrid Method for CutFEM and its Convergence
Michal Wichrowski
We develop a convergence theory for geometric multigrid with vertex-patch smoothers applied to cut finite element discretizations of the Poisson problem. The framework addresses no…
Coalesced Matrix-Free Geometric Multigrid on Persistent Cell-Wise Storage
Michał Wichrowski
We present a geometric multigrid preconditioner for high-order continuous finite elements that operates entirely on redundant, cell-wise stored vectors: the assembled global vector…
Block Preconditioning for Shifted Boundary Method Discretisations of the Stokes Problem
Michał Wichrowski, Ajay Ajith
The Shifted Boundary Method (SBM) sidesteps body-fitted meshing by shifting boundary conditions onto a surrogate boundary and correcting for the displacement through Taylor expansi…
Coalesced Matrix-Free Finite Elements in Cell-Wise Storage
Michał Wichrowski
We present a GPU-oriented formulation of continuous high-order finite elements in which the redundant, cell-wise (element-local) vector is the persistent primary representation of…
A Unified CutFEM Formulation for Finite-Strain Elasticity: Energy Minimisation and Corner Singularities
Michał Tomasz Wichrowski, Ella Godiva Noomen
We present a fully variational, model-independent formulation of the Cut Finite Element Method (CutFEM) for finite-strain elasticity. The discrete problem is derived from a single…
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…
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…
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…
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…
Smoothers with localized residual computations for geometric multigrid methods
Michał Wichrowski, Peter Munch, Martin Kronbichler +1
We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We…