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ARTHEMIS
Domain decomposition method and well conditioned solvers in electromagnetism: a response to current industrial issues
FunderFrench National Research Agency (ANR)
Funder Contribution €637,345.00
DurationFrom 01 Nov 2011
Project codeANR-11-MONU-0001
Identifiers
Description
The objective of our proposal is to design and develop a multi-domain/multi-method computation method that is a suitable response to the great simulation challenges posed by the complexity of industrial electromagnetic applications. The areas of application are complex on-board antennas, electromagnetic compatibility and radar signatures. We need to solve Maxwell’s equations efficiently in the harmonic regime in a domain that is unbounded and at a potentially very high frequency. The number of unknowns to be determined is considerable. On the other hand, the heterogeneous scales typical of complex industrial objects prevent the employment of a “universal” method.. The proposal is on a new method of calculation by sub-domains that should remove these difficulties by fully exploiting the massively parallel architectures of future computers. Each domain will be defined so as to be able to use a specialized solver dedicated to its treatment. The design of well conditioned solvers will enable to use efficiently iterative methods The scientific heart of our proposal is the preconditioning of large linear electromagnetic systems. The conditioning problem will be taken into account from the design of the equations, meaning at the continuous problem formulation level rather than after its discretisation.
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The objective of our proposal is to design and develop a multi-domain/multi-method computation method that is a suitable response to the great simulation challenges posed by the complexity of industrial electromagnetic applications. The areas of application are complex on-board antennas, electromagnetic compatibility and radar signatures. We need to solve Maxwell’s equations efficiently in the harmonic regime in a domain that is unbounded and at a potentially very high frequency. The number of unknowns to be determined is considerable. On the other hand, the heterogeneous scales typical of complex industrial objects prevent the employment of a “universal” method.. The proposal is on a new method of calculation by sub-domains that should remove these difficulties by fully exploiting the massively parallel architectures of future computers. Each domain will be defined so as to be able to use a specialized solver dedicated to its treatment. The design of well conditioned solvers will enable to use efficiently iterative methods The scientific heart of our proposal is the preconditioning of large linear electromagnetic systems. The conditioning problem will be taken into account from the design of the equations, meaning at the continuous problem formulation level rather than after its discretisation.
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