STUCCOFIELDS
Structure and scaling in computational field theories
| Coordinatore | UNIVERSITETET I OSLO
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | Norway [NO] |
| Totale costo | 1˙100˙000 € |
| EC contributo | 1˙100˙000 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2011-StG_20101014 |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2012 |
| Periodo (anno-mese-giorno) | 2012-01-01 - 2016-12-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITETET I OSLO
Organization address
address: Problemveien 5-7 contact info |
NO (OSLO) | hostInstitution | 1˙100˙000.00 |
| 2 |
UNIVERSITETET I OSLO
Organization address
address: Problemveien 5-7 contact info |
NO (OSLO) | hostInstitution | 1˙100˙000.00 |
Mappa
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Obiettivo del progetto (Objective)
'The numerical simulations that are used in science and industry require ever more sophisticated mathematics. For the partial differential equations that are used to model physical processes, qualitative properties such as conserved quantities and monotonicity are crucial for well-posedness. Mimicking them in the discretizations seems equally important to get reliable results.
This project will contribute to the interplay of geometry and numerical analysis by bridging the gap between Lie group based techniques and finite elements. The role of Lie algebra valued differential forms will be highlighted. One aim is to develop construction techniques for complexes of finite element spaces incorporating special functions adapted to singular perturbations. Another is to marry finite elements with holonomy based discretizations used in mathematical physics, such as the Lattice Gauge Theory of particle physics and the Regge calculus of general relativity. Stability and convergence of algorithms will be related to differential geometric properties, and the interface between numerical analysis and quantum field theory will be explored. The techniques will be applied to the simulation of mechanics of complex materials and light-matter interactions.'