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)



Tuesday: 19.08.2014


Wolfgang Kreuzer: Welcome


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


Harald Ziegelwanger: BEM calculations for HRTFs


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


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


Johannes Tausch: Fast Galerkin Methods for Parabolic Boundary Integral Equations


Ernst Peter Stephan: Time-Domain BEM for Acoustic Problems



Wednesday: 20.08.2014


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


Dominik Bayer: Alpha modulation frames


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


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


Hartmut Führ: Constructing shearlet dilation groups


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



Thursday: 21.08.2014


Helmut Harbrecht:The H2-wavelet method


Manuela Utzinger: Adaptive Wavelet Galerkin Schemes


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


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


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