Details of Grant 

EPSRC Reference:	EP/F034016/1
Title:	Analysis of Anisotropic Inverse Boundary Value Problems
Principal Investigator:	Kurylev, Professor V
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Department:	Mathematics
Organisation:	UCL
Scheme:	Standard Research
Starts:	01 October 2008	Ends:	30 June 2012	Value (£):	274,488
EPSRC Research Topic Classifications:	Mathematical Analysis Numerical Analysis
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:	EP/F033974/1
Panel History:	Panel Date Panel Name Outcome 29 Nov 2007 Mathematics Prioritisation Panel (Science) Announced
Summary on Grant Application Form
Effects of anisotropy are important in electrical, acoustical and optical imaging used in non-destructive testing, geophysics and medical imaging. If ignored these effects can result in a wrong solution to the inverse problem. There are currently very few theoretical results on scalar anisotropic inverse problems with no general approach towards stability and development of convergent reconstruction algorithms for solving these problems. Almost nothing is known about inverse boundary value problems for systems of partial differential equations, especially in the anisotropic case. The aim of this research is to develop analytical and geometric methods to study uniqueness and stability in anisotropic inverse problems and to implement these methods by developing convergent reconstruction algorithms for solving fully non-linear inverse boundary value problems.
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