domain decomposition 1mixed-dimensional problems 1model order reduction 1multiscale simulation 1neural surrogates 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction
Nunzio Dimola, Piermario Vitullo, Paolo Zunino
The paper presents a domain decomposition framework that uses non‑intrusive neural surrogates to create reduced‑order models for multiscale, mixed‑dimensional elliptic problems, en…
math.NA2025
Neural Preconditioning via Krylov Subspace Geometry
Nunzio Dimola, Alessandro Coclite, Paolo Zunino
We propose a geometry-aware strategy for training neural preconditioners tailored to parametrized linear systems arising from the discretization of mixed-dimensional partial differ…
math.NA2025
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
Nunzio Dimola, Nicola Rares Franco, Paolo Zunino
Mixed-dimensional partial differential equations (PDEs) are characterized by coupled operators defined on domains of varying dimensions and pose significant computational challenge…