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RandomMultiScales SIGNED

Computational Random Multiscale Problems

Total Cost €

0

EC-Contrib. €

0

Partnership

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 RandomMultiScales project word cloud

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

disordered    fashion    phenomena    physics    easily    bayesian    games    partial    separation    multiple    disorder    localization    quantum    unrelated    seemingly    interplay    modeling    dimensional    theories    equations    models    contrast    computational    fundamental    continuum    links    homogenization    resolve    randomness    differential    numerical    ergodicity    observation    microstructures    scales    transitions    prediction    base    anderson    intersection    ranging    probabilistic    interpretation    media    geometrically    paradigm    underlying    decomposition    periodicity    envisioned    heterogeneous    adaptive    deep    experimental    hierarchical    orders    truly    direct    stationarity    surprising    simulation    multiscale    connected    statistically    invisibility    exceeds    computing    nexus    separable    magnitude    astonishing    clears    metamaterials    numerics    stochastic    cloaking    random    deterministic    mathematical    physical    generation    accounts    hence    quantification    space    goals    scattering    breakthroughs    attempt    domain    algorithmic    waves   

Project "RandomMultiScales" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITAET AUGSBURG 

Organization address
address: UNIVERSITAETSSTRASSE 2
city: AUGSBURG
postcode: 86159
website: www.uni-augsburg.de

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 Germany [DE]
 Total cost 1˙796˙926 €
 EC max contribution 1˙796˙926 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2019-COG
 Funding Scheme ERC-COG
 Starting year 2020
 Duration (year-month-day) from 2020-05-01   to  2025-04-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITAET AUGSBURG DE (AUGSBURG) coordinator 1˙796˙926.00

Map

 Project objective

Geometrically or statistically heterogeneous microstructures and high physical contrast are the key to astonishing physical phenomena such as invisibility cloaking with metamaterials or the localization of quantum waves in disordered media. Due to the complex experimental observation of such processes, numerical simulation has very high potential for their understanding and control. However, the underlying mathematical models of random partial differential equations are characterized by a complex interplay of effects on many non-separable or even a continuum of characteristic scales. The attempt to resolve them in a direct numerical simulation easily exceeds today's computing resources by multiple orders of magnitude. The simulation of physical phenomena from multiscale models, hence, requires a new generation of computational multiscale methods that accounts for randomness and disorder in a hierarchical and adaptive fashion.

This proposal concerns the design and numerical analysis of such methods. The main goals are connected to fundamental mathematical and algorithmic challenges at the intersection of multiscale modeling and simulation, uncertainty quantification and computational physics:

(A) Numerical stochastic homogenization beyond stationarity and ergodicity, (B) Uncertainty quantification in truly high-dimensional parameter space, (C) Computational multiscale scattering in random heterogeneous media, (D) Numerical prediction of Anderson localization and quantum phase transitions.

These objectives base upon recent breakthroughs of deterministic numerical homogenization beyond periodicity and scale separation and its deep links to seemingly unrelated theories ranging all the way from domain decomposition to information games and their Bayesian interpretation. It is this surprising nexus of classical and probabilistic numerics that clears the way to the envisioned new computational paradigm for multiscale problems at randomness and disorder.

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

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