| School of Mathematical Sciences Colloquium Series | |
The Extended-Domain-Eigenfunction
Method: making old mathematics work for new problems
by
Professor Stan Miklavcic
Location: Innova21, conference room 7.15
Date: Friday, 13 May
Time: 15:10
Abstract: Standard analytical solutions to elliptic boundary value problems on asymmetric domains are rarely, if ever, obtainable. Several years ago I proposed a solution technique to cope with such complicated domains. It involves the embedding of the original domain into one with simple boundaries where the classical eigenfunction solution approach can be used. The solution in the larger domain, when restricted to the original domain is then the solution of the original boundary value problem. In this talk I will present supporting theory for this idea, some numerical results for the particular case of the Laplace equation and the Stokes flow equations in two-dimensions and discuss advantages and limitations of the proposal.
The Colloquium will be followed by a reception for our speaker in
the Staff Tea Room with wine and nibbles to which all are invited.