Objective
Designing fast and reliable algorithms to numerically simulate the behaviour of high-frequency acoustic and electromagnetic waves is a longstanding open problem in computational mathematics. Furthermore, these waves underpin a plethora of communication and imaging technologies; therefore any progress towards solving this problem will have wide impact.
The project aims to design, analyse, and implement in open-source software new methods for the numerical solution of high-frequency acoustic and electromagnetic wave scattering problems. These methods will be faster, more reliable, and more widely applicable than current state-of-the-art methods, with this improvement achieved by exploiting techniques from pure mathematics specifically designed to study high-frequency problems; these techniques are from the area of semiclassical analysis and are based on studying functions in phase space (the combination of physical and frequency space).
Since both numerical analysis and semiclassical analysis of high-frequency wave scattering problems are mature areas of mathematics, it is surprising that these two fields have operated largely in isolation from each other, with essentially none of the deep insights about high-frequency waves from semiclassical analysis used in the design of numerical methods for these problems.
This project will exploit this untapped potential and implement the resulting methods in the open-source multiphysics finite-element
software FreeFEM (https://freefem.org/) in easy-to-use packages. These packages will be designed for researchers in the applied sciences and industry seeking to simulate the behaviour of high-frequency acoustic and electromagnetic waves.
These goals will be achieved by combining the expertise of the three PIs: JG, an expert in semiclassical analysis, ES, an expert in the numerical analysis of high-frequency scattering, and PT, an expert in scientific computing and the lead developer of FreeFEM.
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.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.
- natural sciencescomputer and information sciencessoftware
- natural sciencescomputer and information sciencescomputational sciencemultiphysics
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Keywords
Programme(s)
- HORIZON.1.1 - European Research Council (ERC) Main Programme
Topic(s)
Funding Scheme
HORIZON-ERC-SYG - HORIZON ERC Synergy GrantsHost institution
BA2 7AY Bath
United Kingdom