BIOTOP: Adaptive Wavelet and Frame Techniques for Acoustic BEM
Mid-Term Workschop, 19. - 21. August, 2014

BIOTOP: Adaptive Wavelet and Frame Techniques for Acoustic BEM

Mid-Term Workshop, 19-21 August, 2014

 

Localization of sound sources plays an important role in our everyday lives. The shape of the human head, the torso and especially the shape of the outer ear (pinna) have a filtering effect on incoming sounds and thus play an important role for sound localization. This filtering effect can be described using the so-called head related transfer functions (HRTFs). By calculating the distribution of the sound pressure around the head with numerical methods like the boundary element method (BEM), these HRTFs can be calculated numerically.

The aim of BIOTOP is to make the numerical calculations more efficient by using adaptive wavelet and frame techniques. BIOTOP combines abstract theoretical mathematics with numerical and applied mathematics.

The workshop shall provide an overview of the state-of-the-art in the research fields connected to BIOTOP, such as

  • Wavelets and frames

  • Adaptive numerical methods

  • Boundary Element Methods for the Helmholtz equation (for large wavenumbers)

  • Regularity theory (Besov, Sobolev, ...)

  • Coorbit Theory (α-modulation spaces ...)

 

BIOTOP aims at providing a possibility to exchange research ideas from the different research areas connected to BIOTOP (theoretical, numerical and applied mathematics, engineering, ...) and will be held at the Salzkammergut Lake region at the International Academy Traunkirchen.

 

For further information and registration please contact
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BIOTOP is supported by the Austrian Science Fund (FWF), the Swiss National Science Foundation (SNF) and the German Research Foundation (DFG)

 

Program:

Tuesday: 19.08.2014

09:30-09:50

Wolfgang Kreuzer: Welcome

10:00-10:30

Piotr Majdak: The role of head-related transfer function in sound-source localization

10:40-11:10

Harald Ziegelwanger: BEM calculations for HRTFs

11:40-12:30

Michael Feischl: Adaptive Boundary Element Method: Convergence and Optimality for Standard Discretizations

14.00-14.50

Jens Markus Melenk: Stability and convergence of Galerkin discretizations of the Helmholtz equation

15.00-15.50

Johannes Tausch: Fast Galerkin Methods for Parabolic Boundary Integral Equations

16.30-17.20

Ernst Peter Stephan: Time-Domain BEM for Acoustic Problems

 

 

Wednesday: 20.08.2014

09:30-10:20

Stephan Dahlke: The state of the art in shearlet coorbit theory

11:00-11:30

Dominik Bayer: Alpha modulation frames

11:40-12:10

Tomasz Hrycak: Numerical studies of frame-based methods for problems in acoustics

14:00-14:50

Gerd Teschke: Coorbit theory, multi- modulation frames and the concept of joint sparsity for medical multi-channel data analysis

15:00-15:50

Hartmut Führ: Constructing shearlet dilation groups

16:30-17:20

Peter Balazs: Non-stationary Gabor transform and Frame Representation of Operators

 

 

Thursday: 21.08.2014

09.30-10.20

Helmut Harbrecht:The H2-wavelet method

11.00-11.50

Manuela Utzinger: Adaptive Wavelet Galerkin Schemes

14.00-14.50

Rob Stevenson: Adaptive wavelet methods for linear and nonlinear least squares problems

15.00-15.50

Markus Weimar: Besov-type function spaces on patchwise smooth manifolds and regularity analysis of operator equations in these scales

16.30-17.20

Markus Hansen: New regularity results for elliptic PDEs and application to adaptive approximation methods