Global ABCs for Second Order Elliptic Equations

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 1 in Artificial Boundary Method, 2013, pp 9-60 from Springer

Abstract: 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.

Keywords: Poisson equation; Helmholtz equation; exterior problem; finite element approximation (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_2

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DOI: 10.1007/978-3-642-35464-9_2

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