Discrete Artificial Boundary Conditions

Houde Han () and Xiaonan Wu ()
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Houde Han: Tsinghua University, Department of Mathematical Sciences
Xiaonan Wu: Hong Kong Baptist University, Department of Mathematics

Chapter Chapter 6 in Artificial Boundary Method, 2013, pp 259-298 from Springer

Abstract: 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.

Keywords: Poisson equation; Navier-Stokes equations; linear elastic system; Klein-Gordon equation; discrete ABC; infinite element method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-35464-9_7

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DOI: 10.1007/978-3-642-35464-9_7

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