3 papers
math.NA2026
Solvers for mixed finite element problems using Poincaré operators based on spanning trees
Wietse M. Boon
We propose a decomposition of Hilbert complexes that directly leads to a Poincaré operator. An explicit example is provided that decomposes a finite element differential complex u…
math.NA2025
Fitted norm preconditioners for the Hodge Laplacian in mixed form
Wietse M. Boon, Johannes Kraus, Tomáš Luber +1
We use the practical framework for abstract perturbed saddle point problems recently introduced by Hong et al. to analyze the mixed formulation of the Hodge Laplace problem. We com…
math.NA2024
Nodal auxiliary space preconditioners for mixed virtual element methods
Wietse Boon, Erik Nilsson
We propose nodal auxiliary space preconditioners for facet and edge virtual elements of lowest order by deriving discrete regular decompositions on polytopal grids and generalizing…