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Artificial Boundary Method pp 259–298Cite as

Discrete Artificial Boundary Conditions

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Abstract

In this chapter, we discuss the discrete ABCs for the exterior problem of 2-D Poisson equation, 2-D Navier-Stokes equations, and 2-D linear elastic system, and for the 1-D Klein-Gordon equation on unbounded domains. By using artificial boundaries, the original problems are reduced to boundary or initial boundary value problems on bounded computational domains. Discrete boundary conditions on the artificial boundaries are obtained, and then the finite element or finite difference method is applied to solve the reduced problems.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Houde Han

  2. Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, China

    Xiaonan Wu

Authors
  1. Houde Han
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  2. Xiaonan Wu
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© 2013 Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg

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Han, H., Wu, X. (2013). Discrete Artificial Boundary Conditions. In: Artificial Boundary Method. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35464-9_7

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