An iterative method for solving 2D wave problems in infinite domains |
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Affiliation: | 1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China;2. School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China;3. National Centre for Computer Animation, Bournemouth University, Poole, UK |
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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. |
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