Nonreflecting boundary conditions for the time-dependent wave equation

Authors:
Bradley Alpert;Leslie Greengard;Thomas Hagstrom
Affiliations:
National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado;Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York;Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico
Venue:
Journal of Computational Physics
Year:
2002

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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.