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