**Organiser:** Arian Novruzi, Department
of Mathematics and Statistics,University of Ottawa

**Format:** 3 days: Mini-courses and short talks.

### Invited mini-course lecturers:

**Michel Delfour**, University of Montreal, Canada

*Introduction to shape analysis and optimisation*.

**Mohammed Masmoudi**, University Paul Sabatier, Toulouse, France

*Numerical methods for shape optimisation problems. Topological
derivatives.*

**Michel Pierre**, Ecole Normale Superieure a Cachan, France

*Regularity of optimal domains in shape optimisation problems.*

### Workshop description

Shape optimisation theory makes an important and interesting discipline
of modern Mathematics. It deals with optimisation with respect to the
domain of shape functionals that often represent the energy associated
with any physical system. Usually, shape functionals depend on any boundary
value problem defined in a variable domain and on any geometric functional,
typically the perimeter and the measure. There are numerous applications
of shape optimisation theory in fluid dynamics, electromagnetism, thermodynamics,
imaging and in many other domains.

The workshop will be focused on an introductory to medium level and
will cover theoretical and numerical part of shape optimisation theory.

The theoretical part will focus on shape analysis, shape calculus,
existence and regularity of optimal shapes. The numerical part will
cover shape numerical methods like topological methods and standard
methods like shape gradient and Newton methods.

There will also be several presentations bringing different mathematical
shape problems and some interesting industrial problems formulated in
terms of shape optimisation theory.

Workshop Program

### Registration Fee

The advance registration is now closed, registration will be on-site
at the Workshop, May 12 from 08:15-09:00 a.m., Montpetit 207 (map)

Contact info programs(PUT_AT_SIGN_HERE)fields.utoronto.ca
">programs(PUT_AT_SIGN_HERE)fields.utoronto.ca

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