Non-Reflecting Boundaries: High-Order Treatment

Dan Givoli ()
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Dan Givoli: Technion — Israel Institute of Technology, Department of Aerospace Engineering and Asher Center for Space Research

A chapter in A Celebration of Mathematical Modeling, 2004, pp 53-72 from Springer

Abstract: Abstract A class of numerical methods to solve wave problems in unbounded domains is based on truncating the infinite domain via an artificial boundary B and applying an appropriate boundary condition on B. The latter is called a Non-Reflecting Boundary Condition (NRBC). In this paper we (a) briefly recount the history of NRBC development and related issues, (b) explain the notion of high-order local NRBCs, (c) show how to derive such NRBCs for the dispersive (Klein-Gordon) wave equation, (d) give a numerical example, and (e) mention how Joe Keller is related to all this.

Keywords: Wave problems; unbounded domain; infinite domain; artificial boundary; non-reflecting; artificial boundary condition; high order; dispersive; Klein-Gordon; Joseph Keller. (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0427-4_4

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DOI: 10.1007/978-94-017-0427-4_4

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