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GEneral fraMework for Preconditioning and AuGmentations

Project description

Overcoming computational bottlenecks in quantum material design

Simulating how electrons interact inside advanced semiconductors and solar cells requires massive computational power. The main mathematical roadblock involves calculating how complex functions operate on large matrices and vectors, a process that is not efficient and scales poorly as simulated materials become larger. Standard simulation methods cannot handle the sheer scale of physical systems. Supported by the Marie Skłodowska-Curie Actions programme, the GEMPAG project will develop a general acceleration framework. The system introduces a unified mathematical approach that combines polynomial and randomised preconditioning with function augmentation and multigrid methods. By targeting heavy calculations in quantum materials theory (many-body perturbation theory), the proposed open-source software will accelerate processing times by up to four times, enabling more accurate studies of semiconductors and solar cell materials.

Objective

This fellowship develops a general acceleration framework for the problem of the action of a function valued on an operator times a vector, whose state-of-the-art solution methods often suffer from poor convergence and scaling, limiting realistic physical system sizes. The methods developed will be used in the acceleration of the main computational bottleneck in the GW approximation, which is a powerful method in many body perturbation theory for materials simulations. In the context of the numerical linear algebra problem, I will design the first unified approach that combines polynomial and randomized preconditioning with augmentation for functions in general, and then extend it toward stationary algebraic multigrid, while demonstrating end-to-end impact by reformulating and speeding up GW self-energy calculations. The results will be released as open-source, production-grade modules first in VOTCA/XTP and then in the widely used Yambo code, with documented APIs, tests and user materials, targeting 2–4x speedups on representative benchmarks and improved scaling with the physical system size. The work directly addresses a priority need in exascale-ready electronic-structure software and supports Europe’s digital and green transitions by enabling larger, more accurate studies of semiconductors and solar-cell materials. The fellowship provides interdisciplinary training at TU/e (Netherlands) with a secondment at CNR Instituto Nanoscienze (Italy), structured two-way knowledge transfer with the beneficiary, increased uptake by the developer and user communities via the secondment, and strong open-science and outreach practices.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2025-PF

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Coordinator

TECHNISCHE UNIVERSITEIT EINDHOVEN
Net EU contribution
€ 232 916,16
Address
GROENE LOPER 3
5612 AE Eindhoven
Netherlands
Region
Zuid-Nederland Noord-Brabant Zuidoost-Noord-Brabant
Activity type
Higher or Secondary Education Establishments
Links
Total cost
No data

Partners (1)