An iterative method for solving 2D wave problems in infinite domains

  • Authors:
  • M. Premrov;I. Špacapan

  • Affiliations:
  • Faculty of Civil Engineering, University of Maribor, Smetanova ul. 17, SI-2000 Maribor, Slovenia;Faculty of Civil Engineering, University of Maribor, Smetanova ul. 17, SI-2000 Maribor, Slovenia

  • Venue:
  • Advances in Engineering Software - Engineering computational technology
  • Year:
  • 2002

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Abstract

This paper presents a new method for solving two-dimensional wave problems in infinite domains. The method yields a solution that satisfies Sommerfeld's radiation condition, as required for the correct solution of infinite domains excited only locally. It is obtained by iterations. An infinite domain is first truncated by introducing an artificial finite boundary (β), on which some boundary conditions are imposed. The finite computational domain in each iteration is subjected to actual boundary conditions and to different (Dirichlet or Neumann) fictive boundary conditions on β.