Analisi Numerica e Matematica Computazionale (DIT.AD021.117)
Area tematica
Ingegneria, ICT e tecnologie per l'energia e i trasporti
Area progettuale
Matematica Applicata (DIT.AD021)Struttura responsabile del progetto di ricerca
Istituto di matematica applicata e tecnologie informatiche "Enrico Magenes" (IMATI)
Responsabile di progetto
MICOL PENNACCHIO
Telefono: 0382 548217
E-mail: micol.pennacchio@imati.cnr.it
Abstract
In continuity with the long standing tradition that IMATI has in the field, we pursue the study of numerical tools for the solution of PDE's, with emphasis on: a) the methods for spatial discretization, for which several approaches are considered, from the more classical ones (finite elements, finite differences, finite volumes) to the more recently proposed, such as the different approaches to discretization based on polygonal/polyhedral tessellation (virtual elements, mimetic finite differences), isogeometric analysis; b) the efficient implementation of the resulting algorithms with the related linear algebra questions; c) the reliability assessment of the resulting predictions in the presence of uncertainty (uncertainty quantification UQ); d) the application of the different methods to problems arising from fields as diverse as medicine, smart materials, fluid dynamics.
Obiettivi
The goal of this project is the state of the art in the field of the numerical treatment of Partial Differential Equations. More precisely we aim at
a) develop new numerical methods for the numerical solution of Partial Differential Equations of different kind
b) provide new theoretical results on existing as well as newly devised numerical methods, addressing properties such as stability, convergence
c) study the different questions relative to the implementation of the different methods in a modern computing architecture, and to the efficiency of the whole solution procedures, by addressing questions such as preconditioning and parallel implementation
d) adapt different methods to the specific requirements arising from application fields, and use the knowledge acquired to provide numerical solvers for relevant real-life problems.
Data inizio attività
07/07/2020
Parole chiave
Analisi Numerica, Matematica Computazionale, Algoritmi
Ultimo aggiornamento: 04/08/2025