Implicit 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 7 in Artificial Boundary Method, 2013, pp 299-339 from Springer

Abstract: Abstract In this chapter, we discuss the implicit ABCs for the exterior problem of 2-D and 3-D Poisson equations, the Helmholtz equation, and the Navier system, and for the wave equation on unbounded domains. By using artificial boundaries, the original problems are reduced to boundary or initial boundary value problems on bounded computational domains. Implicit boundary conditions on the artificial boundaries are obtained, and then the finite element or finite difference method is applied to solve the reduced problems. Some error estimates are also given.

Keywords: Poisson equation; Helmholtz equation; Navier system; wave equation; implicit ABC (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_8

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DOI: 10.1007/978-3-642-35464-9_8

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