MMDS and 2D scattering problem by cylindrical structure with piece-wise smooth boundary

Abstract

An universal modification of the method of discrete sources (MMDS) was applied for solving 2D Dirichlet or Neumann boundary problem when the scatterer's contour is a piece-wise smooth contour. The problems of accuracy, choosing auxiliary contours, stable results, location and type of contour's break points are discussed.Keywords: Modification of the method of discrete sources, piece-wise smooth boundary, accuracy. ResumenUna modificación universal al método de fuentes discretas (MMDS) ha sido aplicada para resolver problemas 2D de frontera de Dirichlet o Neumann cuando el contorno del dispersador es un contorno suave a trazos. Se discuten los problemas de precisión, escogiendo contornos auxiliares, resultados estables, localización y tipo de contorno en los puntos de quiebre.Palabras clave: Modificación del método de fuentes discretas, frontera suave a trozos, precisión.Mathematics Subject Classification: 34L25, 74S15, 65R20.