Nonreflecting boundary conditions for the time-dependent wave equation

Bradley Alpert; Leslie Greengard; Thomas Hagstrom

doi:10.1006/jcph.2002.7093

Nonreflecting boundary conditions for the time-dependent wave equation

Bradley Alpert, Leslie Greengard, Thomas Hagstrom

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We describe a new, efficient approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation. We compare the performance of our approach with that of existing methods by coupling the boundary conditions to finite-difference schemes. Numerical experiments demonstrate a significant gain in accuracy at no additional cost.

Original language	English (US)
Pages (from-to)	270-296
Number of pages	27
Journal	Journal of Computational Physics
Volume	180
Issue number	1
DOIs	https://doi.org/10.1006/jcph.2002.7093
State	Published - Jul 20 2002

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.2002.7093

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author = "Bradley Alpert and Leslie Greengard and Thomas Hagstrom",

note = "Funding Information: Contribution of U.S. government, not subject to copyright in the United States. 1The work of this author was supported in part by the DARPA Applied and Computational Mathematics Program under appropriation 9770400. 2The work of this author was supported in part by the U.S. Department of Energy under contract DEFGO288ER25053 and by DARPA/AFOSR under contract F94620-95-C-0075. 3The work of this author was supported in part by NSF Grants DMS-9600146 and DMS-9971772, DARPA/AFOSR Contract F94620-95-C-0075, and, while in residence at the Courant Institute, DOE Contract DEFGO288ER25053.",

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Nonreflecting boundary conditions for the time-dependent wave equation

Abstract

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