We propose a NystrÃ¶m/product integration method for a class of second kind integral equations on the real line which arise in problems of two-dimensional scalar and elastic wave scattering byâ€¦ (More)

Recent work of Luke and Devaney showed that there exists an implementation of a modified linear sampling method that is equivalent to a MUSIC algorithm for scattering from soundsoft obstacles. Theâ€¦ (More)

In this paper we consider the scattering of a plane acoustic or electromagnetic wave by a one-dimensional, periodic rough surface. We restrict the discussion to the case when the boundary is soundâ€¦ (More)

The Factorization Method, a well established method in inverse scattering problems for bounded obstacles, is extended to the case of scattering by a periodic surface. The method is rigorously provedâ€¦ (More)

Time-harmonic acoustic waves in an ocean of finite height are modeled by the Helmholtz equation inside a layer with suitable boundary conditions. Scattering in this geometry features phenomenaâ€¦ (More)

Variational formulations for direct time-harmonic scattering problems in a three dimensional waveguide are formulated and analysed. We prove that the operators defined by the corresponding formsâ€¦ (More)

Thermal comfort models specifically the J.B. Pierce two-node model of human thermoregulation and the Fanger Comfort Equation predict comfort responses of individuals exposed to thermal environmentsâ€¦ (More)

Abstract Expressions for periodic Greenâ€™s functions for the Helmholtz equation in two and three dimensions are derived via Ewaldâ€™s method. The decay rate of the series occurring in these expressionsâ€¦ (More)

We employ domain derivatives to solve inverse electromagnetic scattering problems for perfect conducting or for penetrable obstacles. Using a variational approach, the derivative of the scatteredâ€¦ (More)

We consider biperiodic integral equations of the second kind with weakly singular kernels such as they arise in boundary integral equation methods. The equations are solved numerically using aâ€¦ (More)