### Research Experiences for Undergraduates (REU) Seminar

Topic: Mathematical and computational aspects of nondestructive testing

Speaker: **Michael Vogelius**, Professor of Mathematics, Rutgers University

Date and time: Friday, June 22, 2001, 12:00 noon

Location: 12:00 noon, Hill Center, Room 525, Rutgers University

Lunch will be served.

Differential equations, in particular Partial Differential Equations (PDE's),
are used to model physical phenomena such as (electromagnetic) wave
propagation, heat conductance and the conductance of electric currents.

Numerical simulations of PDE's are thus an important tool to predict
the behaviour of physical systems. To look at it "in reverse" the
measurent of the electric-, the heat-, or the electromagnetic response
of a system may be an effective way to deduce information about the "internal
nature" of a system.

I shall illustrate this point of view with some examples that have
applications to medical imaging, to the nondestructive testing of
materials, as well as to the detection of anti-personnel mines.

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