16. August 2017:

ARI GUEST TALK
15.00 o'clock,
ARI Seminar Room, Wohllebengasse 12-14 / 1st Floor

Wavelets meet boundary integral equations - Helmut Harbrecht

Wavelets meet boundary integral equations
Helmut Harbrecht, Universität Basel

Abstract
Solving boundary integral equations by the Galerkin scheme leads
to densely populated system matrices which are often ill conditioned.
Thus, the memory consumption and the computation of the solution
is of at least quadratic complexity. This makes the boundary element
method unattractive for the practical usage. In recent years, algo-
rithms like the Fast Multipole Method and the Panel Clustering have
been developed to reduce the complextity considerably. Another e-
cient method is the wavelet Galerkin scheme: one employs biorthog-
onal wavelet bases with vanishing moments for the discretization of
the given boundary integral equation. The resulting system matrix is
quasi-sparse and can be compressed without loss of accuracy such that
linear over-all complexity is realized. This talk concerns with the prin-
ciples as well as new developments of the wavelet Galerkin scheme for
boundary integral equations, particularly assembling the compressed
system matrix, preconditioning and adaptivity. Numerical experiments
are presented which complement the theory. The matrix compression
does not compromise the accuracy of the Galerkin scheme. However,
we save a factor of storage 100{1000 and accelerate the computing time

 

News

Upcoming Events

ARI GUEST TALK: The Promise of Brain Training Games

28. August 2017:

ARI GUEST TALK
16.00 o'clock,
ARI Seminar Room, Wohllebengasse 12-14 / ground Floor

The Promise of Brain Training Games - Aaron Seitz
Read more ...
 

ARI GUEST TALK: Spaces of ultradifferentiable functions and applications

6. September 2017:

ARI GUEST TALK
15.00 o'clock,
ARI Seminar Room, Wohllebengasse 12-14 / 1st Floor

Spaces of ultradifferentiable functions and applications - Smiljana Jaksic
Read more ...