Periodic Reporting for period 1 - EffectFact (Effective Factorisation techniques for matrix-functions: Developing theory, numerical methods and impactful applications)
Reporting period: 2021-09-01 to 2024-02-29
Funded by the Marie Skłodowska-Curie Actions (RISE H2020), the EffectFact project aims to develop advanced factorisation and Wiener-Hopf methods as well as methods for Riemann-Hilbert problems to solve time-dependent boundary value problems in complex discrete and continuous domains. Those problems could not be solved independently, requiring continuous feedback from analytic, applied and computational researchers from numerous disciplines.
The main goals of the EffectFact project are:
• to advance pure and applied mathematics in the area of factorisation techniques, Wiener-Hopf and Riemann-Hilbert problems and related numerical techniques to solve time dependent boundary value problems in complex discrete and continuous domains;
• to utilise the developed techniques to solve challenging problems from: i) biomechanics, ii) medicine, iii) metamaterials (acoustic and gyro-elastic), iv) AI (machine learning), v) environmental and civil engineering (with a focus on earthquake and coastal defences) and, in doing so,
• to establish a new, sustainable, EU-centred network of researchers from different sectors and disciplines, united by their dedication to furthering the projects techniques and results, while transferring this knowledge, best practice and creating new training opportunities for EU researchers.
EffectFact consortium members possess outstanding fundamental expertise in the theoretical and numerical aspects of the Wiener-Hopf technique complemented by extensive knowledge and experience of industrial Partners in implementation of novel ideas in various industrial areas. EffectFact utilises those complementary skills creating a unique environment for cutting edge research and innovation. Staff secondments and various training and dissemination activities facilitate an effective knowledge Network. This diverse collaborative Network forge interdisciplinary links within the EU, strengthen the access of EU academics and SME’s to international research, lead to tangible and impactful results, while building a strong base of robust, independent researchers capable of furthering the aims of EffectFact long into the future.
The main goals of the EffectFact project are:
• to advance pure and applied mathematics in the area of factorisation techniques, Wiener-Hopf and Riemann-Hilbert problems and related numerical techniques to solve time dependent boundary value problems in complex discrete and continuous domains;
• to utilise the developed techniques to solve challenging problems from: i) biomechanics, ii) medicine, iii) metamaterials (acoustic and gyro-elastic), iv) AI (machine learning), v) environmental and civil engineering (with a focus on earthquake and coastal defences) and, in doing so,
• to establish a new, sustainable, EU-centred network of researchers from different sectors and disciplines, united by their dedication to furthering the projects techniques and results, while transferring this knowledge, best practice and creating new training opportunities for EU researchers.
EffectFact consortium members possess outstanding fundamental expertise in the theoretical and numerical aspects of the Wiener-Hopf technique complemented by extensive knowledge and experience of industrial Partners in implementation of novel ideas in various industrial areas. EffectFact utilises those complementary skills creating a unique environment for cutting edge research and innovation. Staff secondments and various training and dissemination activities facilitate an effective knowledge Network. This diverse collaborative Network forge interdisciplinary links within the EU, strengthen the access of EU academics and SME’s to international research, lead to tangible and impactful results, while building a strong base of robust, independent researchers capable of furthering the aims of EffectFact long into the future.
WP1 develops theoretical framework for matrix function factorization, essential for subsequent work in WP2 and applications in WP3-7. It also delivers fundamental outcomes and methods crucial for future exploitation, including reports on factorization procedures, method impact, and hybrid approaches for nonlinear models.
WP2 focuses on developing computational techniques for matrix factorization and solving Boundary Value Problems with moving boundaries. This is crucial for advancing the impact of the analytical methods of EffectFact in various fields and for creating advanced software algorithms.
WP3 explores applications of Wiener-Hopf methods in bio-sciences, delivering analytical and numerical tools for modelling biological systems and solving respective nonlinear problems. The project is pure theoretical and
does not fall within the scope of the EU Access and Benefit Sharing (ABS) Regulation (Nagoya Protocol).
WP4 designs innovative materials like phononic crystals, acoustic and elastic metamaterials and, with applications in controlling wave propagation. The deliverables include studies on microstructural influence of materials for guiding acoustic and elastic waves and guidelines for applying Wiener-Hopf techniques to aid in the development of novel materials.
WP5 develops hybrid methods for enriching testing datasets and training machine learning algorithms using factorization techniques. Focus is also given to data analytic methods and improving neural networks.
WP6 investigates phase transition and fracture propagation in discrete materials, aiming to improve their design and understand failure processes. It also explores failure in biologically inspired materials and civil engineering structures.
WP7 addresses civil and environmental engineering challenges, focusing on constructing resilient defence structures and safer civil engineering assemblies. It also develops numerical codes for robust structure design.
The first reporting period emphasized efforts in WP1-2 and WP6-7, with the associated results presented on the project webpage: https://fp7.imaps.aber.ac.uk/effectfact.html(opens in new window)
Other project WPs focus on management, dissemination, and knowledge transfer, including training initiatives, workshops, conferences, and publications.
All project events, publications and dissemination activities are highlighted on the project webpage. As an example, in this summary, we present a flyer and some images from one of the Consortium events (for more details: https://fp7.imaps.aber.ac.uk/workshop_2023_aber/(opens in new window))
WP2 focuses on developing computational techniques for matrix factorization and solving Boundary Value Problems with moving boundaries. This is crucial for advancing the impact of the analytical methods of EffectFact in various fields and for creating advanced software algorithms.
WP3 explores applications of Wiener-Hopf methods in bio-sciences, delivering analytical and numerical tools for modelling biological systems and solving respective nonlinear problems. The project is pure theoretical and
does not fall within the scope of the EU Access and Benefit Sharing (ABS) Regulation (Nagoya Protocol).
WP4 designs innovative materials like phononic crystals, acoustic and elastic metamaterials and, with applications in controlling wave propagation. The deliverables include studies on microstructural influence of materials for guiding acoustic and elastic waves and guidelines for applying Wiener-Hopf techniques to aid in the development of novel materials.
WP5 develops hybrid methods for enriching testing datasets and training machine learning algorithms using factorization techniques. Focus is also given to data analytic methods and improving neural networks.
WP6 investigates phase transition and fracture propagation in discrete materials, aiming to improve their design and understand failure processes. It also explores failure in biologically inspired materials and civil engineering structures.
WP7 addresses civil and environmental engineering challenges, focusing on constructing resilient defence structures and safer civil engineering assemblies. It also develops numerical codes for robust structure design.
The first reporting period emphasized efforts in WP1-2 and WP6-7, with the associated results presented on the project webpage: https://fp7.imaps.aber.ac.uk/effectfact.html(opens in new window)
Other project WPs focus on management, dissemination, and knowledge transfer, including training initiatives, workshops, conferences, and publications.
All project events, publications and dissemination activities are highlighted on the project webpage. As an example, in this summary, we present a flyer and some images from one of the Consortium events (for more details: https://fp7.imaps.aber.ac.uk/workshop_2023_aber/(opens in new window))
The EffectFact partnerships provide an innovative toolkit for addressing modern challenges, maximizing the potential for exploiting results while maintaining and reinforcing the originality of approaches. Key aspects of EffectFact's originality include:
• Advancements in Wiener-Hopf matrix factorisation and related techniques, leading to constructive and effective analytical and numerical techniques applicable even for matrices with unstable partial indices.
• Utilization of matrix factorisation in diverse applications, from DNA mechanics to contact and transmission problems in tissue and the development of bioinspired multifunctional metamaterials.
• Metamaterials, including integration of novel gyroscopic elements and the creation of Artificial Neuron Networks for modelling structures exposed to hazardous events and lightweight assemblies in aerospace applications.
• Utilising progress in Wiener-Hopf techniques for constructing defence and civil structures, crucial in light of Climate Change consequences.
EffectFact stands out as the first large consortium dedicated to advancing these techniques and applying them extensively. Academic partners leverage their expertise in various fields to ensure high-impact results, while non-academic beneficiaries (innovative SMEs) play a vital role in research and knowledge transfer. The project enhances staff members' potential and career prospects through interdisciplinary collaboration, establishing lasting partnerships, expanding knowledge into new fields, and targeted training.
esearch and knowledge transfer. The project enhances staff members' potential and career prospects through interdisciplinary collaboration, establishing lasting partnerships, expanding knowledge into new fields, and targeted training.
• Advancements in Wiener-Hopf matrix factorisation and related techniques, leading to constructive and effective analytical and numerical techniques applicable even for matrices with unstable partial indices.
• Utilization of matrix factorisation in diverse applications, from DNA mechanics to contact and transmission problems in tissue and the development of bioinspired multifunctional metamaterials.
• Metamaterials, including integration of novel gyroscopic elements and the creation of Artificial Neuron Networks for modelling structures exposed to hazardous events and lightweight assemblies in aerospace applications.
• Utilising progress in Wiener-Hopf techniques for constructing defence and civil structures, crucial in light of Climate Change consequences.
EffectFact stands out as the first large consortium dedicated to advancing these techniques and applying them extensively. Academic partners leverage their expertise in various fields to ensure high-impact results, while non-academic beneficiaries (innovative SMEs) play a vital role in research and knowledge transfer. The project enhances staff members' potential and career prospects through interdisciplinary collaboration, establishing lasting partnerships, expanding knowledge into new fields, and targeted training.
esearch and knowledge transfer. The project enhances staff members' potential and career prospects through interdisciplinary collaboration, establishing lasting partnerships, expanding knowledge into new fields, and targeted training.