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Transient analysis of full‐space unbounded domains by reciprocal absorbing boundaries
Author(s) -
Nguyen Cuong T.,
Tassoulas John L.
Publication year - 2020
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2987
Subject(s) - reciprocal , transient (computer programming) , plane (geometry) , boundary (topology) , harmonic , plane wave , boundary value problem , mathematical analysis , domain (mathematical analysis) , coupling (piping) , time domain , mathematics , physics , geometry , acoustics , computer science , optics , materials science , philosophy , linguistics , metallurgy , computer vision , operating system
Summary In this paper, we explore a combination of the reciprocal absorbing boundary condition with perfectly matched discrete layers for the time‐domain analysis of wave motion in the full plane. Coupling of these absorbing boundaries leads to solutions for out‐of‐plane as well as in‐plane excitations of the full plane. Together with numerical transient simulations, harmonic analysis is also carried out for the purpose of verifying the results by comparing with available exact frequency‐domain solutions. The proposed combination is investigated through several numerical examples, which demonstrate its accuracy and efficiency.