Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Philippe G. Ciarlet and Prof. Roderick Wong

Fast Numerical Methods for Solving Fredholm Integral Equations

by
Professor Stefan Sauter
Institute of Mathematics,
University of Zurich

Date : September 28, 2005 (Wednesday)
Time : 4:30 pm to 5:30 pm
Venue : Room 6605 (Faculty Conference Room)
Blue Zone, Level 6, Academic Building
City University of Hong Kong

Abstract: The integral equation method is an elegant tool for transforming linear boundary value problems into boundary integral equations. The boundary element method is a flexible discretisation technique for solving these equations numerically. In the last twenty years, efficient algorithms have been developed for overcoming the major bottlenecks of this method:
(a) Quadrature methods for evaluating singular and nearly singular surface integrals;
(b) Sparse representations for the non-local integral operators.
The complexity of these methods are O(N (Log(N)4), where N denotes the number of unknowns.
In this talk, we will present new quadrature and multipole methods that allow to solve these equations within linear complexity O(N).

* Tea, coffee and cookies will be provided at the Faculty Common Room in B6501 before the colloquium from 4:00 p.m. to 4:30 p.m. Please come and join us!

** All interested are welcome **

For enquiry: 2788-9816

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