University of Leeds
Leeds, West Yorkshire, England
Inverse and improperly posed problems arise in many practical situations when difficulties arise in producing, measuring or interpreting various causual features of a physical phenomenon.Thus in such circumstances one has to choose between performing a relatively inaccurate measurement or solving a difficult mathematical inverse or improperly posed problem.In the last 10 years,or so, this topic has become the focus of interest in many physical applications.
In this presentation the use of the Boundary Element Method (BEM) to solve a variety of inverse or improperly posed fluid flow problems is considered. In particular, a minimum energy method is proposed and examples of the approach are given for the potential and slow flow equations. However, the extension of the method to other equations and applications will be discussed as will be the great advantages of using the BEM to solve THIS class of problems.