Abstract Acoustic scattering of waves by bounded inhomogeneities in an unbounded homogeneous domain is considered. A symmetric coupled system time-domain boundary integral equations and the second order formulation wave equation described. fully discrete consists spatial discretization finite element methods (BEM/FEM), leapfrog time-stepping interior, convolution quadrature for equations. Convo...

We propose an accurate algorithm for a novel sum-of-exponentials (SOE) approximation of kernel functions, and develop fast convolution quadrature based on the SOE, which allows order N calculation time steps approximating continuous temporal integral. The SOE method is constructed by combination de la Vallée-Poussin sum semi-analytical exponential expansion general kernel, model reduction techn...

When solving elliptic boundary value problems using integral equation methods one may need to evaluate potentials represented by a convolution of discretized layer density sources against a kernel. Standard quadrature accelerated with a fast hierarchical method for potential field evaluation gives accurate results far away from the sources. Close to the sources this is not so. Cancellation and ...

In the communication field, during transmission, a source signal undergoes a convolutive distortion between its symbols and the channel impulse response. This distortion is referred to as Intersymbol Interference (ISI) and can be reduced significantly by applying a blind adaptive deconvolution process (blind adaptive equalizer) on the distorted received symbols. But, since the entire blind deco...

Abstract Generalized impedance boundary conditions are effective approximate that describe scattering of waves in situations where the wave interaction with material involves multiple scales. In particular, this includes materials a thin coating (with thickness as small scale) and strongly absorbing materials. For acoustic from generalized conditions, approach taken here first determines Dirich...