Objective
The proposal is focused on computational electromagnetics (CEM) with emphasis on the moment method (MoM) and its application to the numerical solution of integral equations (IEs) arising in electromagnetic (EM) scattering by either perfectly-conducting or homogeneous dielectric objects in both 2-D and 3-D geometries. Particularly it addresses four research objectives (ROs). RO1 concerns a priori and a posteriori error analyses for the Reduced Basis Method on account of its application to popular IEs in EM scattering theory (i.e. EFIE, MFIE, and CFIE). RO2 is aimed to shed light on the intimate (but quite involved) relationship between properties of the relevant integral operators underlying our preferred EM models and analogous properties of finite ranked operators resulting from their MoM discretization. This is expected to provide insights for performance and reliability improvements of common iterative techniques used to solve the corresponding MoM system (i.e. CG, BiCG, and GMRES). RO3 points to contribute to the development and further understanding of the approximation problem in the light of Enflo’s and subsequent work on the existence of Banach spaces lacking Grothendieck’s approximation property. This will be done in regard to the sole EFIE. The issue seems almost completely unexplored, yet, it may be useful to know if and when MoM intrinsically fails to represent certain classes of operators, commonly encountered in EM scattering, by finite ranked operators (e.g. depending on the smoothness of scatterers). This is the deepest theoretical theme addressed by the proposal and represents one of the strongest motivations that has led the fellow to apply at LJLL on the consideration of its researchers’ expertise on foundations of numerical methods. Finally RO4 regards numerical experimentation. It will aid the fellow in the development and testing of novel MoM-based schemes for EM scattering problems, but also in the refinement of existing analog techniques.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics applied mathematics numerical analysis
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2010-IEF
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Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
75252 PARIS
France
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