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321 SIGNED

from Cubic To Linear complexity in computational electromagnetics

Total Cost €

EC-Contrib. €

Partnership

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321 project word cloud

Explore the words cloud of the 321 project. It provides you a very rough idea of what is the project "321" about.

dynamic simulation technological density scenarios arbitrary solver electromagnetics game linear changing computational computationally arising transformation constantly fft holy impacting dominated complexity linearly rupturing entire community reductions breakthrough will configuration cem translates inversion leverage sensibly overcome badly quadratic technologies attempts electromagnetic pointed practical fast cubically compromise scientific degrees engineering right run trend maxwell modeling speaking fact tackle freedom grail paradigm tools science matrix pi instead cubic starting miniaturized discipline groundbreaking direct algorithms steep origin 321 grand shows shift

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 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.	IT (TORINO)	coordinator	2˙000˙000.00
2	INSTITUT MINES-TELECOM INSTITUT MINES-TELECOM Organization address address: 37 ET 39 RUE DAREAU city: PARIS postcode: 75014 website: www.institut-telecom.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
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 CalderÃ³n 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.