Having Fun with Adjoints

Dwight Barkley (University of Warwick)

Thursday 3rd March, 2011 14:00-15:00 Maths 326


I will describe some problems in the dynamics of PDEs for which numerically solving adjoint problems provides valuable insight. I will first discuss the dynamics of spiral and scroll waves in excitable media. I will show how the computation of Response Functions (adjoints to neutral modes) allows one to predict and understand a variety of interesting dynamics of these waves, and provides a basis for their control. The second class of problems involves fluid flows which are stable, but susceptible to small disturbances. Flow through a stenosis is a prime example. I will discuss numerical methods for studying such flows based on adjoint computations.

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