Objective
Research objectives and content
The aim of the research project is the mathematical analysis and development of accurate numerical algorithms for the tridimensional modelling of non-stationary electromagnetic phenomena in geometries with moving boundaries. The system of time dependent Maxwell equations is approximate by combining time advancing schemes, mesh adaption procedures and the mortar element method, which is an optimal non-conforming finite element approach based on domain decomposition. The decomposition of the problem domain into subdomains is used to model complex geometries and different material properties. Moreover, different grid structures, different refinement levels and different degree of interpolation are considered to describe at best the problem characteristics in each subdomain. The spatial approximation is based upon finite element methods and, in each subdomain, it is carried out independently of the approximation within the adjacent subdomains Consequently, different (non-matching) sets of nodes are generated at the interfaces. The intertace matching constraints (trasmission of either boundary or continuity conditions) are imposed by using an auxilary mortar trace space defined over the union of all the intertaces and an appropriate variational operator. This method should provide a global error which is bounded by the sum of the local errors (optimality) and it allows to easily treat geometries with moving boundaries. Time advancing schemes based on finite differences are applied to solve the system of ordinary differential equations resulting from the spatial approximation Explicit and implicit schemes are analysed in relation to their ability in describing transient phenomena.
Reliable and robust error indicators are analysed to extend mesh adption techniques to non-stationary electromagnetics. Adaptive procedures are generally used to improve the quality of the computational mesh in order to compute the most accuratesolution at the smallest computational cost Finally, a numerical validation of the proposed approach will be made on a realistic electric engine problem, concluding the research project. Training content (objective, benefit and expected impact)
The proposed research work will provide a rigorous mathematical setup to approximate non-stationary electromagnetic phenomena in non-stationary geometries through a tridimensional approach much more flexible than the currently in use approaches Moreover, it is our belief that the contents of the project can be successfully used to enhance the performance of numericalcodes for electromagnetics. On the ground of the applicant experience, the research project would remarkably improve her knowledge on mathematical analysis and partial differential equations as well on applied mathematics and electromagnetics modelling.
Links with industry / industrial relevance (22)
An approach based on the combination of the mortar element method, time advancing schemes and mesh adaption has several interesting applications in the electrotechnic and electromagnetic fields. It can provide a very significant application fallout for electric apparata, by making a full scale simulation of their transient performances feasible.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences electromagnetism and electronics electromagnetism
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences mathematics applied mathematics numerical analysis
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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.
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.
Funding Scheme
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.
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
91405 Orsay
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.