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321 SIGNED

from Cubic To Linear complexity in computational electromagnetics

Total Cost €

0

EC-Contrib. €

0

Partnership

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Project "321" data sheet

The following table provides information about the project.

Coordinator
POLITECNICO DI TORINO 

Organization address
address: CORSO DUCA DEGLI ABRUZZI 24
city: TORINO
postcode: 10129
website: www.polito.it

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Italy [IT]
 Total cost 2˙000˙000 €
 EC max contribution 2˙000˙000 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2016-COG
 Funding Scheme ERC-COG
 Starting year 2017
 Duration (year-month-day) from 2017-09-01   to  2022-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    POLITECNICO DI TORINO IT (TORINO) coordinator 2˙000˙000.00
2    INSTITUT MINES-TELECOM FR (PARIS) participant 0.00

Map

 Project objective

Computational Electromagnetics (CEM) is the scientific field at the origin of all new modeling and simulation tools required by the constantly arising design challenges of emerging and future technologies in applied electromagnetics. As in many other technological fields, however, the trend in all emerging technologies in electromagnetic engineering is going towards miniaturized, higher density and multi-scale scenarios. Computationally speaking this translates in the steep increase of the number of degrees of freedom. Given that the design cost (the cost of a multi-right-hand side problem dominated by matrix inversion) can scale as badly as cubically with these degrees of freedom, this fact, as pointed out by many, will sensibly compromise the practical impact of CEM on future and emerging technologies.

For this reason, the CEM scientific community has been looking for years for a FFT-like paradigm shift: a dynamic fast direct solver providing a design cost that would scale only linearly with the degrees of freedom. Such a fast solver is considered today a Holy Grail of the discipline.

The Grand Challenge of 321 will be to tackle this Holy Grail in Computational Electromagnetics by investigating a dynamic Fast Direct Solver for Maxwell Problems that would run in a linear-instead-of-cubic complexity for an arbitrary number and configuration of degrees of freedom.

The failure of all previous attempts will be overcome by a game-changing transformation of the CEM classical problem that will leverage on a recent breakthrough of the PI. Starting from this, the project will investigate an entire new paradigm for impacting algorithms to achieve this grand challenge.

The impact of the FFT’s quadratic-to-linear paradigm shift shows how computational complexity reductions can be groundbreaking on applications. The cubic-to-linear paradigm shift, which the 321 project will aim for, will have such a rupturing impact on electromagnetic science and technology.

 Publications

year authors and title journal last update
List of publications.
2018 Lyes Rahmouni, Simon B. Adrian, Kristof Cools, Francesco P. Andriulli
Conforming discretizations of boundary element solutions to the electroencephalography forward problem
published pages: 7-25, ISSN: 1631-0705, DOI: 10.1016/j.crhy.2018.02.002
Comptes Rendus Physique 19/1-2 2019-06-06
2019 S.B. Adrian, F.P. Andriulli, T.F. Eibert
On a refinement-free Calderón multiplicative preconditioner for the electric field integral equation
published pages: 1232-1252, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.10.009
Journal of Computational Physics 376 2019-06-06
2019 Axelle Pillain, Lyes Rahmouni, Francesco Andriulli
Handling anisotropic conductivities in the EEG forward problem with a symmetric formulation
published pages: 35022, ISSN: 1361-6560, DOI: 10.1088/1361-6560/aafaaf
Physics in Medicine & Biology 64/3 2019-06-06
2018 John E. Ortiz G., Axelle Pillain, Lyes Rahmouni, Francesco P. Andriulli
A Calderon regularized symmetric formulation for the electroencephalography forward problem
published pages: 291-306, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.07.048
Journal of Computational Physics 375 2019-06-06

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The information about "321" are provided by the European Opendata Portal: CORDIS opendata.

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