11 papers
Coalesced Matrix-Free Geometric Multigrid on Persistent Cell-Wise Storage
MichaÅ 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
MichaÅ 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
MichaÅ 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
MichaÅ 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 the stationarity condi…
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 Ghost Penalty Evaluation via Tensor Product Factorization
MichaÅ 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…