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Reference Number  EP/S003975/1  
Title  Fast solvers for frequencydomain wavescattering problems and applications  
Status  Started  
Energy Categories  FOSSIL FUELS: OIL, GAS and COAL(Oil and Gas, Other oil and gas) 5%; NOT ENERGY RELATED 95%; 

Research Types  Basic and strategic applied research 100%  
Science and Technology Fields  PHYSICAL SCIENCES AND MATHEMATICS (Applied Mathematics) 100%  
UKERC Cross Cutting Characterisation  Not Crosscutting 100%  
Principal Investigator 
Professor I Graham No email address given Mathematical Sciences University of Bath 

Award Type  Standard  
Funding Source  EPSRC  
Start Date  01 January 2019  
End Date  31 December 2022  
Duration  48 months  
Total Grant Value  £379,810  
Industrial Sectors  Energy; Healthcare  
Region  South West  
Programme  NC : Maths  
Investigators  Principal Investigator  Professor I Graham , Mathematical Sciences, University of Bath (99.998%) 
Other Investigator  Dr E A Spence , Mathematical Sciences, University of Bath (0.001%) Dr S Gazzola , Mathematical Sciences, University of Bath (0.001%) 

Industrial Collaborator  Project Contact , Schlumberger Cambridge Research Ltd (0.000%) 

Web Site  
Objectives  
Abstract  The computation of wave phenomena is widely needed in many application areas, for example models of radar and telecommunications devices require the computation of electromagnetic waves while the implementations of seismic and medical imaging algorithms use acoustic, elastic, and electromagnetic waves to obtain information about the earth's subsurface and the human body respectively.Computer models of the propagation of waves arise naturally in the design and implementation of these technologies. Medical imaging technicians use computer models of how the material composition of the human body scatters incoming electromagnetic waves in order to solve the "inverse problem'' of reconstructing the internal makeup of a human being from an observed scattered wave field. Similarly, seismologists use computer models of how the material properties of the earth's subsurface affects the transmission of elastic waves in order to reconstruct the earth's subsurface properties from observed echoes of elastic wavesThis technology is hugely useful, for example in the medical context it means we can often diagnose health problems without a need for more invasive techniques. In the seismology case it makes something seemingly impossible become possible  since it is never physically possible to explore all of the earth's subsurface properties by simply boring holes.However the fast and accurate computer modelling of such wave phenomena is complicated and costly (in terms of computer time), principally (but not solely) because of the highly oscillatory nature of the waves and the complicated media through which they pass. Thus there is a strong need for new methods that speed up such models and that task is a principal focus of this research.This project will devise and mathematically justify new families of fast methods for implementing these computer wave models, and will make the new methods available through two software platforms which are accessible to a wide range of scientists as well as in an additional specialist high performance computing library. As well as devising new methods for modelling (which work well on today's multiprocessor computers), the project will also involve direct collaboration with two companies  Schlumberger (a Project Partner, interested in seismology) and ABB (interested in electromagnetic computations)  as well as two academic groups, one in geosciences and one in electromagnetics  
Publications  (none) 

Final Report  (none) 

Added to Database  11/02/19 