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Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions

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Summary.

Simple boundary conditions on an artificial boundary are discussed, then an exact boundary condition on the artificial boundary is obtained. Approximation to this boundary condition with high accuracy is given, and the error estimates are obtained. A numerical example is presented, and the numerical results are compared with the exact solution.

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Authors and Affiliations

  1. Department of Applied Mathematics, Tsinghua University, Beijing, 100084, China, , , , , , CN

    Houde Han

  2. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, , , , , , HK

    Changhong He

  3. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, , , , , , HK

    Xiaonan Wu

Authors
  1. Houde Han
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  2. Changhong He
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  3. Xiaonan Wu
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Additional information

Received January 27, 1997 / Revised version received May 14, 1999 / Published online February 17, 2000

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Han, H., He, C. & Wu, X. Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Numer. Math. 85, 367–386 (2000). https://doi.org/10.1007/s002110000143

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  • DOI: https://doi.org/10.1007/s002110000143

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