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Fast Algorithms for the Discretization of Integral Equations
| Project Leader: | Prof. C. Schwab |
| Researchers: | Prof. C. Schwab, G. Schmidlin |
| Date: | 22.03.2000 |
Description
Many three-dimensional problems in possibly unbounded domains can be reduced to integral equations on the boundary of the domain. The discretization of these equations by finite elements on the boundary leads to the so-called Boundary Element Method (BEM) which has, in recent years, become a widely used tool in enineering.
Its comptetitvness has, however, been moderate through the substantial quadrature work necessary to generate the dense stiffness matrices. The recently developed fast algorithms, such as MULTIPOLE, PANEL CLUSTERING and also WAVELET-BASED METHODS allow to decrease the computational complexity of BEM by several orders of magnitude. The project aims at the mathematical analysis and computer implementation of fast algorithms for boundary integral equations in mechanics. Emphasis is placed on large scale (3-d) problems in complex geometries and the treatment of as wide a class of integral equations as possible.
Contacts
Prof. Christoph Schwab and Gregor Schmidlin (gschmidl@sam.math.ethz.ch).
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