High-order methods for computational wave propagation and scattering
September 10 to September 14, 2007
American Institute of Mathematics,
Palo Alto, California
Oscar P. Bruno and Rainer Kress
This workshop will address numerical methods for wave propagation with
a focus on high-order convergence for general scattering
configurations (with applicability to complex and singular geometries
and high frequency problems); they include a significant focus on
integral equation methods, with reference to finite-difference and
finite-element algorithms, spectral and Fourier based approaches,
hybrids of asymptotic and numerical methods, as well as the closely
related field of inverse scattering problems. In particular, this
workshop will have an emphasis on spectral methods concerning the
Significant progress in the field of computational wave scattering in
recent years has resulted from use of sophisticated mathematical
techniques and insights, arising from the fields of approximation
theory, pseudo-differential operator theory, asymptotics and special
functions, in conjunction with the classical methods of numerical
analysis. It now appears the time is ripe for these emerging methods
to evolve into fast and accurate algorithms, capable of evaluating
accurately and efficiently wave scattering for low, intermediate and
high frequencies, and applicable to scatterers which may contain
geometrically complicated scattering surfaces and volumes, including
geometric singularities such as edges, corners and cusps and impedance
- High frequency approximations;
- Geometric singularities; and,
- Generalized impedance boundary conditions.
A number of recent individual efforts have furthered our capabilities
in computational wave scattering. It is hoped this workshop will
accelerate progress by allowing for exchanges of ideas beyond those
that would occur through direct study of the published literature or
occasional encounters in large yearly conferences.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
Papers arising from the workshop: