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Global ABCs for Second Order Elliptic Equations

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 global ABCs for the exterior problem of 2-D and 3-D Poisson equation, the modified Helmholtz equation, and the Helmholtz equation. By using artificial boundaries, the original problems are reduced to boundary value problems on bounded computational domains. Boundary conditions on the artificial boundaries are obtained, and then the finite element method is applied to solve the reduced problems. Some error estimates are also given.

Suggested Citation

  • Houde Han & Xiaonan Wu, 2013. "Global ABCs for Second Order Elliptic Equations," Springer Books, in: Artificial Boundary Method, chapter 0, pages 9-60, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-35464-9_2
    DOI: 10.1007/978-3-642-35464-9_2
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