Wave problems in infinite domains

  • Authors:
  • M. Premrov;I. Špacapan

  • Affiliations:
  • Faculty of Civil Engineering, University of Maribor, Slovenia;Faculty of Civil Engineering, University of Maribor, Slovenia

  • Venue:
  • ICAAISE '01 Proceedings of the eighth international conference on The application of artificial intelligence to civil and structural engineering computing
  • Year:
  • 2001

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Abstract

A finite element method for solving two dimensional wave problems in infinite domains is presented in this paper. The method is based on an iterative variation of fictive boundary conditions on an artificial finite boundary. The finite computational domain is in each iteration subjected to actual boundary conditions and to different (Dirichlet or Neumann) fictive boundary conditions on the artificial boundary. The halfspace Dirichlet to Neumann operator is used only to determinate new fictive boundary conditions and is not included into a finite element formulation. Thus any finite elements can be used and the method is especially applicable for computing higher harmonics.