Perfect absorbing layers for wave scattering problems and related topics

Abstract

List of Figures 2.3 Profiles of the PML solution U p with regular function (2.14) (σ 0 = 1, n = 2) and singular function (2.15) vs PAL solution U a in Ω and V a in Ω d with k = 99.99, (L, d) = (1, 0.2) along the x-axis at y = π/2. Left: real part solution; Right: imaginary part solution.. .. .. .. .. . 2.4 Left: illustration of the circular PAL from radial direction. Middle: schematic illustration of the rectangular PAL Ω d with four trapezoidal patches. Right: illustration of the elliptic PAL under elliptic coordinate. 2.5 Left: errors against various N for different layers (width d = 0.1) with boundary condition g(y) = sin(5y) − sin(30y); Right: errors against various N for different layers (width d = 0.5) with boundary condition g(y) = sin(5y) − sin(30y).