Referred publications in International Journals
- N Barral, T Taddei, I Tifouti, Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity. Journal of Computational Physics (JCP), 2024. preprint | doi
- E Agouzal, JP Argaud, M Bergmann, G Ferté, T Taddei, A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code. International Journal for Numerical Methods in Engineering (IJNME), 2024. preprint | doi
- K Smetana, T Taddei, Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment. SIAM Journal on Scientific Computing (SISC), 2023. preprint | doi
- A Iollo, G Sambataro, T Taddei, A one-shot overlapping Schwartz method for component-based model reduction: application to nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering (CMAME), 2023. preprint | doi
- A Iollo, T Taddei, Mapping of coherent structures in parameterized flows by learning optimal transportation with Gaussian models. Journal of Computational Physics (JCP), 2022. preprint | doi
- A Iollo, G Sambataro, T Taddei, A projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems. International Journal for Numerical Methods in Engineering (IJNME), 2022. preprint | doi
- A Ferrero, T Taddei, L Zhang, Registration-based model reduction of parameterized two-dimensional conservation laws. Journal of Computational Physics (JCP), 2022. preprint | doi
- T Taddei, L Zhang, Registration-based model reduction in complex two-dimensional geometries. Journal of Scientific Computing (JSC), 2021. preprint | doi
- T Taddei, L Zhang, A discretize-then-map approach for the treatment of parameterized geometries in model order reduction. Computer Methods in Applied Mechanics and Engineering (CMAME), 2021. preprint | doi
- T Taddei, L Zhang, Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 2021. preprint | doi
- T Taddei, A registration method for model order reduction: data compression and geometry reduction. SIAM Journal on Scientific Computing (SISC), 2020. preprint| doi
- T Taddei, An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces. Advances in Computational Mathematics (ACOM), 2019. preprint | doi
- Y Maday, T Taddei, Adaptive PBDW approach to state estimation: noisy observations; user-defined update spaces. SIAM Journal on Scientific Computing (SISC), 2019. preprint | doi
- L Fick, Y Maday, AT Patera, T Taddei, A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. Journal of Computational Physics, 2018. preprint | doi
- T Taddei, AT Patera, A localization strategy for data assimilation; application to state estimation and parameter estimation. SIAM Journal on Scientific Computing (SISC), 2018. preprint | doi
- T Taddei, JD Penn, M Yano, AT Patera, Simulation-Based Classification; a model-order-reduction approach for Structural Health Monitoring. Archives of Computational Methods in Engineering (S.I.: Machine Learning in Computational Mechanics), 2018. preprint | doi
- P Gallinari, Y Maday, M Sangnier, O Schwander, T Taddei, Reduced basis’ acquisition by a learning process for rapid on-line approximation of solution to PDE’s: Laminar Flow Past a Backstep. Archives of Computational Methods in Engineering (S.I.: Machine Learning in Computational Mechanics), 2018. preprint | doi
- T Taddei, An adaptive parametrized-background data-weak approach to variational data assimilation. ESAIM: Mathematical Modelling and Numerical Analysis, 2017. preprint | doi
- T Taddei, JD Penn, AT Patera, Validation by Monte Carlo sampling of experimental observation functionals. International Journal for Numerical Methods in Engineering, 2017. preprint | doi
- T Taddei, A Quarteroni, S Salsa, An Offline-Online Riemann solver for one-dimensional systems of conservation laws. Vietnam Journal of Mathematics, 2016. preprint | doi
- T Taddei, S Perotto, A Quarteroni, Reduced basis techniques for nonlinear conservation laws. ESAIM: Mathematical Modelling and Numerical Analysis, 2015. preprint | doi
Submitted papers
- E Agouzal, T Taddei, Accelerated construction of projection-based reduced-order models via incremental approaches, Submitted to Advanced Modeling and Simulation in Engineering Sciences (AMSES), 2024. paper
- E Agouzal, JP Argaud, M Bergmann, G Ferté, S Michel-Ponnelle, T Taddei, Projection-based model order reduction for prestressed concrete with an application to the standard section of a nuclear containment building. Submitted to Computers and Structures, 2024. paper
- T Taddei, X Xu, L Zhang, A non-overlapping optimization-based domain decomposition approach to component-based model reduction of incompressible flows. Submitted to Journal of Computational Physics (JCP), 2023. paper
- T Taddei, Compositional maps for registration in complex geometries. Submitted to SIAM Journal on Scientific Computing (SISC), 2023. paper
- T Taddei, An optimization-based registration approach to geometry reduction. Submitted to International Journal for Numerical Methods in Engineering (IJNME), 2022. paper
Unpublished
- H Gong, Y Maday, O Mula, T Taddei, PBDW method for state estimation: error analysis for noisy data and nonlinear formulation, 2019. paper
Dissertations
- T Taddei, Model order reduction methods for data assimilation: state estimation and structural health monitoring. Doctoral thesis, Massachusetts Institute of Technology, Mechanical Engineering, 2016. text
- T Taddei, The reduced basis method: transfinite maps for parameterized domains and conservation laws. Master thesis, Politecnico di Milano, Mathematical Engineering, 2012. text
- T Taddei, Numerical investigation of the coupling between reduced models in Hemodynamics (in Italian). Bachelor thesis, Politecnico di Milano, Mathematical Engineering, 2010. text