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Discrete Artificial Boundary Conditions

In: Artificial Boundary Method

Author

Listed:
  • Houde Han

    (Tsinghua University, Department of Mathematical Sciences)

  • Xiaonan Wu

    (Hong Kong Baptist University, Department of Mathematics)

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.

Suggested Citation

  • Houde Han & Xiaonan Wu, 2013. "Discrete Artificial Boundary Conditions," Springer Books, in: Artificial Boundary Method, chapter 0, pages 259-298, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-35464-9_7
    DOI: 10.1007/978-3-642-35464-9_7
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