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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