Publications (24)
H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes
Francesca Bonizzoni, Guido Kanschat
A finite element cochain complex on Cartesian meshes of any dimension based on the H1-inner product is introduced. It yields H1-conforming finite element spaces with exterior deriv…
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia +1
The present work deals with the rational model order reduction method based on the single-point Least-Square (LS) Padé approximation technique introduced in [3]. Algorithmical asp…
Tensor-product vertex patch smoothers for biharmonic problems
Julius Witte, Cu Cui, Francesca Bonizzoni +1
We discuss vertex patch smoothers as overlapping domain decomposition methods for fourth order elliptic partial differential equations. We show that they are numerically very effic…
Learning geometry-dependent lead-field operators for forward ECG modeling
Arsenii Dokuchaev, Francesca Bonizzoni, Stefano Pagani +2
Modern forward electrocardiogram (ECG) computational models rely on an accurate representation of the torso domain. The lead-field method enables fast ECG simulations while preserv…
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots
Francesca Bonizzoni, Davide Pradovera, Michele Ruggeri
We introduce several spatially adaptive model order reduction approaches tailored to non-coercive elliptic boundary value problems, specifically, parametric-in-frequency Helmholtz…
Discrete tensor product BGG sequences: splines and finite elements
Francesca Bonizzoni, Kaibo Hu, Guido Kanschat +1
In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand (BGG) diagrams and complexes over cubical meshes of arbitrary dimension via the use of tensor…