3 papers
cs.CE2026
Online Spectral Deflation for State Constrained Optimal Control Problems
Teeratorn Kadeethum, Francesco Ballarin, Youngsoo Choi +1
Parametric PDE-constrained optimal control with pointwise state constraints requires repeated solution of restricted Schur-complement systems on parameter-dependent inactive sets.…
math.NA2025
POD-based reduced order modeling of global-in-time iterative decoupled algorithms for Biot's consolidation model
Huipeng Gu, Francesco Ballarin, Mingchao Cai +1
This paper focuses on the efficient numerical algorithms of a three-field Biot's consolidation model. The approach begins with the introduction of innovative monolithic and global-…
math.NA2023
Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity
Francesco Ballarin, Sanghyun Lee, Son-Young Yi
This paper explores an iterative coupling approach to solve linear thermo-poroelasticity problems, with its application as a high-fidelity discretization utilizing finite elements…