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Details of Grant 

EPSRC Reference: GR/L98862/01
Title: DOMAIN DECOMPOSITION METHODS FOR SOME INVERSE PROBLEMS
Principal Investigator: Lai, Professor C
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Computing and Maths Sci
Organisation: University of Greenwich
Scheme: Standard Research (Pre-FEC)
Starts: 01 May 1998 Ends: 31 October 1999 Value (£): 5,018
EPSRC Research Topic Classifications:
Numerical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The proposed research is to examine the technique of applying augmented Lagangrian supplemented with total variation method for the retrieval of source strength in some metal cutting problems. Such problems are ill-posed, non-linear inverse problems. Typical application include cutter fluid emission and speed control in metal cutting machinery. The inverse problem is defined in a computational domain which is partitioned into subdomains that consist of at least two different numerical methods across the subdomains. Therefore decomposition should be done in such a way that each subproblem consists of a homogenous numerical scheme inside the subdomain. Such approach allows the use of classical fast domain decomposition methods at a lower level. We propose to combine the augmented Lagangrian and total variation with the said decomposition in order to handle discontinuity in the retrieval of source strength. Parallel implementation on a network of workstation will be examined.
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Organisation Website: http://www.gre.ac.uk