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Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation

Published

Author(s)

Bradley K. Alpert, L Greengard, T Hagstrom

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.
Citation
Journal of Computational Physics
Volume
180
Issue
No. 1

Keywords

absorbing boundary condition, Bessel function logarithmic derivative, nonreflecting boundary kernel, numerical inverse Laplace transformation, numerical wave propagation, radiation boundary condition, wave equation

Citation

Alpert, B. , Greengard, L. and Hagstrom, T. (2002), Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation, Journal of Computational Physics (Accessed April 19, 2024)
Created July 1, 2002, Updated June 2, 2021