3 papers
math.NA2026
Optimal block preconditioners for a mass-conserving mixed stress formulation of Stokes flow
Kaibo Hu, Jongho Park, Jindong Wang
We present optimal block diagonal and triangular preconditioners for a mass-conserving mixed stress formulation of Stokes flow. The algebraic formulation leads to a double saddle p…
math.NA2026
ReLU Neural de Rham Complexes
Kaibo Hu, Jindong Wang, Jinchao Xu
We construct finite-dimensional de Rham subcomplexes generated by fixed-neuron shallow ReLU neural networks, a class of spaces known to provide optimal approximation rates. For…
math.NA2025
An exterior calculus framework for polytopal methods
Francesco Bonaldi, Daniele A. Di Pietro, Jerome Droniou +1
We develop in this work the first polytopal complexes of differential forms. These complexes, inspired by the Discrete De Rham and the Virtual Element approaches, are discrete vers…