NUMERICS4NLP

Numerical Methods for Nonlocal Problems

 Coordinatore TOBB EKONOMI VE TEKNOLOJI UNIVERSITESI 

 Organization address address: SOGUTOZU CAD 43 SOGUTOZU No: 43
city: ANKARA
postcode: 6560

contact info
Titolo: Prof.
Nome: Cetin
Cognome: Urtis
Email: send email
Telefono: +90 312 292 4125

 Nazionalità Coordinatore Turkey [TR]
 Totale costo 100˙000 €
 EC contributo 100˙000 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2011-CIG
 Funding Scheme MC-CIG
 Anno di inizio 2011
 Periodo (anno-mese-giorno) 2011-09-12   -   2015-09-11

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    TOBB EKONOMI VE TEKNOLOJI UNIVERSITESI

 Organization address address: SOGUTOZU CAD 43 SOGUTOZU No: 43
city: ANKARA
postcode: 6560

contact info
Titolo: Prof.
Nome: Cetin
Cognome: Urtis
Email: send email
Telefono: +90 312 292 4125

TR (ANKARA) coordinator 100˙000.00

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

heterogeneity    impact    simulation    composite    pd    modeling    solvers    nl    ddm    materials    studied    scalable    nonlocal    multiscale    create    solver    science    material   

 Obiettivo del progetto (Objective)

'We propose to develop scalable solvers for integral equation based nonlocal (NL) problems such as peridynamics (PD). Heterogeneity will also be studied due to utmost importance of composite materials to numerous applications in material science and structural mechanics. Robustness of the solvers with respect to heterogeneity and multiscale finite element discretizations are the subsequent directions to pursue.

Since the impact of nonlocality on solvers has never been studied before, this research initiative is unique, transformative, and has great potential to create a solver subfield: nonlocal domain decomposition methods (DDM). We propose to study both the algorithmic and theoretical aspects of DDM. The solver research has the potential to reveal multiscale implications associated to NL modeling. We recently proved fundamental conditioning results indicating that the weak formulation of PD can be bounded independently of the mesh size, meaning that one can increase the resolution without increasing the condition number.

Scalable and robust solver technologies will create a great impact on simulation capabilities of nonlocal problems at large. In particular, PD will be used for more complex and realistic NL applications because scalable solvers will directly impact the modeling and simulation capability. There is also imminent need for robust preconditioning in the computational material science community as composite materials become industry standard. For instance, Airbus heavily uses light weight composite materials in modern aircrafts.'

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